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Title:
MIXED REALITY SYSTEM WITH VIRTUAL CONTENT WARPING AND METHOD OF GENERATING VIRTUAL CONTENT USING SAME
Document Type and Number:
WIPO Patent Application WO/2020/023383
Kind Code:
A1
Abstract:
A computer implemented method for warping virtual content includes receiving rendered virtual content data, the rendered virtual content data including a far depth. The method also includes receiving movement data indicating a user movement in a direction orthogonal to an optical axis. The method further includes generating warped rendered virtual content data based on the rendered virtual content data, the far depth, and the movement data.

Inventors:
NOURAI REZA (US)
TAYLOR ROBERT BLAKE (US)
LIEBENOW MICHAEL HAROLD (US)
CADET GILLES (US)
Application Number:
PCT/US2019/042819
Publication Date:
January 30, 2020
Filing Date:
July 22, 2019
Export Citation:
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Assignee:
MAGIC LEAP INC (US)
International Classes:
G02B27/01; G06T3/00; G06T7/00; G06T17/10; G06T19/00
Foreign References:
US20170345220A12017-11-30
US20130162851A12013-06-27
US20170316605A12017-11-02
US20120212633A12012-08-23
US20150205126A12015-07-23
US20160247282A12016-08-25
US20150205126A12015-07-23
US20170345220A12017-11-30
US20140267420A12014-09-18
US20150016777A12015-01-15
US20180268518A12018-09-20
Other References:
LEE, YOUNGHO ET AL.: "Estimating Gaze Depth Using Multi-Layer Perceptron", 2017 INTERNATIONAL SYMPOSIUM ON UBIQUITOUS VIRTUAL REALITY (ISUVR, 29 June 2017 (2017-06-29), pages 26 - 29, XP033128944, Retrieved from the Internet [retrieved on 20191108]
SCHMEING M. ET AL.: "Faithful Disocclusion Filling in Ddiscloses thatepth Image Based Rendering Using Superpixel-Based Inpainting", IEEE TRANSACTIONS ON MULTIMEDIA, vol. 17, no. 12, December 2015 (2015-12-01)
See also references of EP 3827299A4
Attorney, Agent or Firm:
LEUNG, Kevin K. et al. (US)
Download PDF:
Claims:
Claims

1. A computer implemented method for warping virtual content, comprising:

receiving rendered virtual content data, the rendered virtual content data including a far depth;

receiving movement data indicating a user movement in a direction orthogonal to an optical axis; and

generating warped rendered virtual content data based on the rendered virtual content data, the far depth, and the movement data.

2. The method of claim 1 , wherein the rendered virtual content data corresponds to a near virtual object and a far virtual object,

wherein the warped rendered virtual content data corresponds to a warped near virtual object and a warped far virtual object.

3. The method of claim 2, wherein a first position shift between the near virtual object and the warped near virtual object is substantially equal to a second position shift between the far virtual object and the warped far virtual object.

4. The method of claim 1 , wherein generating the warped rendered virtual content data based on the rendered virtual content data, the far depth, and the movement data reduces a parallax related artifact compared to the rendered virtual content data.

5. The method of claim 4, wherein the parallax related artifact is a disocclusion artifact.

6. The method of claim 4, wherein the parallax related artifact is a smearing artifact.

7. The method of claim 4, wherein the parallax related artifact is a jitter artifact.

8. The method of claim 1 , wherein the rendered virtual content data corresponds to a first depth segment, the method further comprising:

receiving second rendered virtual content data corresponding to a second depth segment, the second rendered virtual content data including a second far depth; and

generating warped second rendered virtual content data based on the second rendered virtual content data, the second far depth, and the movement data.

9. A computer implemented method for warping virtual content, comprising:

receiving rendered virtual content data, the rendered virtual content data including a far depth and a near depth;

receiving movement data indicating a user movement in a direction orthogonal to an optical axis; and generating warped rendered virtual content data based on the rendered virtual content data, the far depth, the near depth, and the movement data.

10. The method of claim 9, wherein generating warped rendered virtual content data based on the rendered virtual content data, the far depth, the near depth, and the movement data comprises averaging the far depth and the near depth.

1 1. A computer implemented method for warping virtual content, comprising:

receiving rendered virtual content data;

receiving movement data indicating a user movement in a direction orthogonal to an optical axis;

receiving gaze data indicating a user gaze;

determining a depth based on the gaze data; and

generating warped rendered virtual content data based on the rendered virtual content data, the depth, and the movement data.

12. A computer implemented method for warping virtual content, comprising:

receiving rendered virtual content data;

receiving movement data indicating a user movement in a direction orthogonal to an optical axis;

generating mesh data from the rendered virtual content data; determining depth data from the mesh data; and

generating warped rendered virtual content data based on the rendered virtual content data, the mesh data, the depth data, and the movement data.

13. The method of claim 12, further comprising adjusting a mesh size when generating the mesh data.

14. The method of claim 12, wherein the mesh data is generated using a grid mesh.

15. The method of claim 12, wherein the depth data is determined based on a plurality of depths in the mesh and content of the mesh at each of the plurality of depths.

16. A computer implemented method for determining a depth of a virtual object, comprising:

re-projecting a first image of the virtual object corresponding to a first eye over a second image of the virtual object corresponding to a second eye at a plurality of depths to generate a plurality of respective combination images;

measuring the re-projection error in each of the plurality of respective combination images to generate a plurality of re-projection errors;

identifying a minimum re-projection error in the plurality of re-projection errors corresponding to a combination image of the plurality of respective combination images; and identifying a depth corresponding to the combination image as the depth of the virtual object.

17. The method of claim 16, wherein the depth of the virtual object is used to warp the virtual object from a first point to view to a second point of view.

18. The method of claim 16, wherein the plurality of depths consists of 64 depths.

19. The method of claim 16, wherein each of the plurality of depths corresponds to a one pixel difference in re-projecting the first image of the virtual object.

20. A computer implemented method for determining a minimum stabilization depth, comprising:

obtaining an amount of point of view (POV) movement;

determining a relationship between stabilization depth and pixel movement at the stabilization depth based on the amount of POV movement;

obtaining a maximum unnoticeable pixel movement for a display system; identifying a stabilization depth corresponding to the maximum unnoticeable pixel movement for the display system as the minimum stabilization depth of the display system.

21. The method of claim 20, further comprising warping only content closer than the minimum stabilization depth to a viewer when a point of view changes.

22. The method of claim 20, wherein the relationship between stabilization depth and pixel movement at the stabilization depth is an inverse relationship.

Description:
MIXED REALITY SYSTEM WITH VIRTUAL CONTENT WARPING AND METHOD

OF GENERATING VIRTUAL CONTENT USING SAME

CROSS-REFERENCE TO RELATED APPLICATIONS Field of the Invention

[0001] The present disclosure relates to mixed reality systems with virtual content warping, and methods for generating a mixed reality experience including warped virtual content using the same.

Background

[0002] Modern computing and display technologies have facilitated the development of “mixed reality” (MR) systems for so called“virtual reality” (VR) or “augmented reality” (AR) experiences, wherein digitally reproduced images, or portions thereof, are presented to a user in a manner wherein they seem to be, or may be perceived as, real. A VR scenario typically involves presentation of digital or virtual image information without transparency to actual real-world visual input. An AR scenario typically involves presentation of digital or virtual image information as an augmentation to visualization of the real-world around the user (i.e. , transparency to real-world visual input). Accordingly, AR scenarios involve presentation of digital or virtual image information with transparency to the real-world around the user.

[0003] Various optical systems generate images at various depths for displaying MR (VR and AR) scenarios. Some such optical systems are described in U.S. Utility Patent Application Serial No. 14/555,585 filed on November 27, 2014 (attorney docket number ML.2001 1.00), the contents of which are hereby expressly and fully incorporated by reference in their entirety, as though set forth in full. [0004] MR systems typically employ wearable display devices (e.g., head-worn displays, helmet-mounted displays, or smart glasses) that are at least loosely coupled to a user’s head, and thus move when the user’s head moves. If the user’s head motions are detected by the display device, the data being displayed can be updated to take the change in head pose (i.e., the orientation and/or location of user’s head) into account.

[0005] As an example, if a user wearing a head-worn display device views a virtual representation of a virtual object on the display device and walks around an area where the virtual object appears, the virtual object can be rendered for each viewpoint (corresponding to a position and/or orientation of the head-worn display device), giving the user the perception that they are walking around an object that occupies real space. If the head-worn display device is used to present multiple virtual objects at different depths, measurements of head pose can be used to render the scene to match the user’s dynamically changing head pose and provide an increased sense of immersion. However, there is an inevitable lag between rendering a scene and displaying/projecting the rendered scene.

[0006] Head-worn display devices that enable AR provide concurrent viewing of both real and virtual objects. With an“optical see-through” display, a user can see through transparent (or semi-transparent) elements in a display system to view directly the light from real objects in a real-world environment. The transparent element, often referred to as a“combiner,” superimposes light from the display over the user’s view of the real world, where light from the display projects an image of virtual content over the see-through view of the real objects in the environment. A camera may be mounted onto the head-worn display device to capture images or videos of the scene being viewed by the user.

[0007] MR systems attempt to present photo-realistic, immersive MR scenarios. However, head movement during a lag time between generation of virtual content (“rendered virtual content”) and display of the rendered virtual content may result in visual artifacts (e.g., glitches). This problem may be exacerbated by rapid head movement during the lag time.

[0008] In order to address this issue, some optical systems may include a warping software/system/method that receives rendered virtual content from a source. The warping system then“warps” (i.e., transforms the“frame of reference” of) the received rendered virtual content for display in a frame of reference of the display system/viewer (the“display frame of reference”). This approach takes the originally rendered virtual content, and transforms the way that the virtual content is presented to attempt to display the virtual content from a different perspective at the time of display.

[0009] Some warping software/systems/methods warp the rendered virtual content to correct for rotational or coarse positional user movements (i.e., of the user’s field of view“FOV”). Such systems are not optimized to correct for other types of user movements (e.g., substantially lateral user movements along an axis orthogonal to the user’s optical axis). Accordingly, some warping software/systems/methods can result in artifacts with user movement.

Summary

[0010] In one embodiment, a computer implemented method for warping virtual content includes receiving rendered virtual content data, the rendered virtual content data including a far depth. The method also includes receiving movement data indicating a user movement in a direction orthogonal to an optical axis. The method further includes generating warped rendered virtual content data based on the rendered virtual content data, the far depth, and the movement data.

[0011] In one or more embodiments, the rendered virtual content data corresponds to a near virtual object and a far virtual object, and the warped rendered virtual content data corresponds to a warped near virtual object and a warped far virtual object. A first position shift between the near virtual object and the warped near virtual object may be substantially equal to a second position shift between the far virtual object and the warped far virtual object.

[0012] In one or more embodiments, generating the warped rendered virtual content data based on the rendered virtual content data, the far depth, and the movement data reduces a parallax related artifact compared to the rendered virtual content data. The parallax may be related artifact is a disocclusion artifact. The parallax related artifact may be a smearing artifact or a jitter artifact.

[0013] In one or more embodiments, the rendered virtual content data corresponds to a first depth segment. The method also includes receiving second rendered virtual content data corresponding to a second depth segment, the second rendered virtual content data including a second far depth. The method further includes generating warped second rendered virtual content data based on the second rendered virtual content data, the second far depth, and the movement data.

[0014] In another embodiment, a computer implemented method for warping virtual content includes receiving rendered virtual content data, the rendered virtual content data including a far depth and a near depth. The method also includes receiving movement data indicating a user movement in a direction orthogonal to an optical axis. The method further includes generating warped rendered virtual content data based on the rendered virtual content data, the far depth, the near depth, and the movement data.

[0015] In one or more embodiments, generating warped rendered virtual content data based on the rendered virtual content data, the far depth, the near depth, and the movement data includes averaging the far depth and the near depth.

[0016] In still another embodiment, a computer implemented method for warping virtual content includes receiving rendered virtual content data. The method also includes receiving movement data indicating a user movement in a direction orthogonal to an optical axis. The method further includes receiving gaze data indicating a user gaze. Moreover, the method includes determining a depth based on the gaze data. In addition, the method includes generating warped rendered virtual content data based on the rendered virtual content data, the depth, and the movement data.

[0017] In yet another embodiment, a computer implemented method for warping virtual content includes receiving rendered virtual content data. The method also includes receiving movement data indicating a user movement in a direction orthogonal to an optical axis. The method further includes generating mesh data from the rendered virtual content data. Moreover, the method includes determining depth data from the mesh data. In addition, the method includes generating warped rendered virtual content data based on the rendered virtual content data, the mesh data, the depth data, and the movement data. [0018] In one or more embodiments, the method also includes adjusting a mesh size when generating the mesh data. The mesh data may be generated using a grid mesh. The depth data may be determined based on a plurality of depths in the mesh and content of the mesh at each of the plurality of depths.

[0019] In another embodiment, a computer implemented method for determining a depth of a virtual object includes re-projecting a first image of the virtual object corresponding to a first eye over a second image of the virtual object corresponding to a second eye at a plurality of depths to generate a plurality of respective combination images. The method also includes measuring the re-projection error in each of the plurality of respective combination images to generate a plurality of re- projection errors. The method further includes identifying a minimum re-projection error in the plurality of re-projection errors corresponding to a combination image of the plurality of respective combination images. Moreover, the method includes identifying a depth corresponding to the combination image as the depth of the virtual object.

[0020] In one or more embodiments, the depth of the virtual object is used to warp the virtual object from a first point to view to a second point of view. The plurality of depths may consist of 64 depths. Each of the plurality of depths may correspond to a one pixel difference in re-projecting the first image of the virtual object.

[0021] In still another embodiment, a computer implemented method for determining a minimum stabilization depth includes obtaining an amount of point of view (POV) movement. The method also includes determining a relationship between stabilization depth and pixel movement at the stabilization depth based on the amount of POV movement. The method further includes obtaining a maximum unnoticeable pixel movement for a display system. Moreover, the method includes identifying a stabilization depth corresponding to the maximum unnoticeable pixel movement for the display system as the minimum stabilization depth of the display system.

[0022] In one or more embodiments, the method also includes comprising warping only content closer than the minimum stabilization depth to a viewer when a point of view changes. The relationship between stabilization depth and pixel movement at the stabilization depth may be an inverse relationship.

[0023] Additional and other objects, features, and advantages of the disclosure are described in the detail description, figures and claims.

Brief Description of the Drawings

[0024] The drawings illustrate the design and utility of various embodiments of the present disclosure. It should be noted that the figures are not drawn to scale and that elements of similar structures or functions are represented by like reference numerals throughout the figures. In order to better appreciate how to obtain the above-recited and other advantages and objects of various embodiments of the disclosure, a more detailed description of the present disclosures briefly described above will be rendered by reference to specific embodiments thereof, which are illustrated in the accompanying drawings. Understanding that these drawings depict only typical embodiments of the disclosure and are not therefore to be considered limiting of its scope, the disclosure will be described and explained with additional specificity and detail through the use of the accompanying drawings in which: [0025] Figure 1 depicts a user’s view of augmented reality (AR) through a wearable AR user device, according to some embodiments.

[0026] Figures 2A-2D schematically depict AR systems and subsystems thereof, according to some embodiments.

[0027] Figures 3 and 4 illustrate an artifact with user movement, according to some embodiments.

[0028] Figure 5 illustrates warping virtual content to correct for head rotation, according to some embodiments.

[0029] Figures 6-9 illustrate warping virtual content to correct for user movement, according to some embodiments.

[0030] Figure 10 schematically depicts a graphics processing unit (GPU), according to some embodiments.

[0031] Figure 1 1 depicts a virtual object stored as a primitive, according to some embodiments.

[0032] Figures 12-14 depict warping two non-overlapping virtual objects located at different depths to correct for user movement, according to some embodiments.

[0033] Figures 15-19 depict a disocclusion artifact when warping two overlapping virtual objects located at different depths to correct for user movement.

[0034] Figures 20 and 21 depict a smearing artifact when warping two overlapping virtual objects located at different depths to correct for user movement.

[0035] Figures 22-24 depict a jitter artifact when warping two overlapping virtual objects located at different depths to correct for user movement. [0036] Figures 25-27 depict warping two overlapping virtual objects located at different depths to correct for user movement while minimizing jitter artifacts, according to some embodiments.

[0037] Figures 28-31 depict warping two overlapping virtual objects located at different depths using multiple depths to correct for user movement, according to some embodiments.

[0038] Figures 32-38 depict warping two overlapping virtual objects located at different depths using eye tracking to correct for user movement, according to some embodiments.

[0039] Figures 39-45 depict warping two overlapping virtual objects located at different depths using meshes to correct for user movement, according to some embodiments.

[0040] Figure 46 is a block diagram schematically depicting an illustrative computing system, according to some embodiments.

[0041] Figures 47 to 49 schematically depict a method for determining a depth of a virtual object from a stereo image pair of the virtual object, according to some embodiments.

[0042] Figures 50 to 52 show various combination images generated by a method for determining a depth of a virtual object from a stereo image pair of the virtual object, according to some embodiments.

[0043] Figure 53 is a flowchart illustrating a method for determining a depth of a virtual object from a stereo image pair of the virtual object, according to some embodiments. [0044] Figure 54 is a graph illustrating a relationship between a stabilization depth and apparent movement of the virtual object with POV movement.

[0045] Figure 55 is a flowchart illustrating a method for determining a stabilization depth, according to some embodiments.

Detailed Description

[0046] Various embodiments of the disclosure are directed to systems, methods, and articles of manufacture for warping virtual content in a single embodiment or in multiple embodiments. Other objects, features, and advantages of the disclosure are described in the detailed description, figures, and claims.

[0047] Various embodiments will now be described in detail with reference to the drawings, which are provided as illustrative examples of the disclosure so as to enable those skilled in the art to practice the disclosure. Notably, the figures and the examples below are not meant to limit the scope of the present disclosure. Where certain elements of the present disclosure may be partially or fully implemented using known components (or methods or processes), only those portions of such known components (or methods or processes) that are necessary for an understanding of the present disclosure will be described, and the detailed descriptions of other portions of such known components (or methods or processes) will be omitted so as not to obscure the disclosure. Further, various embodiments encompass present and future known equivalents to the components referred to herein by way of illustration.

[0048] The virtual content warping systems may be implemented independently of mixed reality systems, but some embodiments below are described in relation to AR systems for illustrative purposes only. Further, the virtual content warping systems described herein may also be used in an identical manner with VR systems.

Illustrative Mixed Reality Scenario and System

[0049] The description that follows pertains to an illustrative augmented reality system with which the warping system may be practiced. However, it is to be understood that the embodiments also lend themselves to applications in other types of display systems (including other types of mixed reality systems), and therefore the embodiments are not to be limited to only the illustrative system disclosed herein.

[0050] Mixed reality (e.g., VR or AR) scenarios often include presentation of virtual content (e.g., images and sound) corresponding to virtual objects in relationship to real-world objects. For example, referring to Figure 1 , an AR scene 100 is depicted wherein a user of AR technology sees a real-world, physical, park- like setting 102 featuring people, trees, buildings in the background, and a real- world, physical concrete platform 104. In addition to these items, the user of the AR technology also perceives that they“see” a virtual robot statue 106 standing upon the physical concrete platform 104, and a virtual cartoon-like avatar character 108 flying by which seems to be a personification of a bumblebee, even though these virtual objects 106, 108 do not exist in the real-world.

[0051] Like AR scenarios, VR scenarios also account for the poses used to generate/render the virtual content. Accurately warping the virtual content to the AR/VR display frame of reference and warping the warped virtual content can improve the AR/VR scenarios, or at least not detract from the AR/VR scenarios.

[0052] The description that follows pertains to an illustrative AR system with which the disclosure may be practiced. However, it is to be understood that the disclosure also lends itself to applications in other types of augmented reality and virtual reality systems, and therefore the disclosure is not to be limited to only the illustrative system disclosed herein.

[0053] Figure 2A illustrates an AR system 200, according to some embodiments. The AR system 200 may be operated in conjunction with a projection subsystem 208, providing images of virtual objects intermixed with physical objects in a field of view of a user 250. This approach employs one or more at least partially transparent surfaces through which an ambient environment including the physical objects can be seen and through which the AR system 200 produces images of the virtual objects. The projection subsystem 208 is housed in a control subsystem 201 operatively coupled to a display system/subsystem 204 through a link 207. The link 207 may be a wired or wireless communication link.

[0054] For AR applications, it may be desirable to spatially position various virtual objects relative to respective physical objects in the field of view of the user 250. The virtual objects may take any of a large variety of forms, having any variety of data, information, concept, or logical construct capable of being represented as an image. Non-limiting examples of virtual objects may include: a virtual text object, a virtual numeric object, a virtual alphanumeric object, a virtual tag object, a virtual field object, a virtual chart object, a virtual map object, a virtual instrumentation object, or a virtual visual representation of a physical object.

[0055] The AR system 200 includes a frame structure 202 worn by the user 250, the display system 204 carried by the frame structure 202, such that the display system 204 is positioned in front of the eyes of the user 250, and a speaker 206 incorporated into or connected to the display system 204. In the illustrated embodiment, the speaker 206 is carried by the frame structure 202, such that the speaker 206 is positioned adjacent (in or around) the ear canal of the user 250 (e.g., an earbud or headphone).

[0056] The display system 204 is designed to present the eyes of the user 250 with photo-based radiation patterns that can be comfortably perceived as augmentations to the ambient environment including both two-dimensional and three-dimensional content. The display system 204 presents a sequence of frames at high frequency that provides the perception of a single coherent scene. To this end, the display system 204 includes the projection subsystem 208 and a partially transparent display screen through which the projection subsystem 208 projects images. The display screen is positioned in a field of view of the user’s 250 between the eyes of the user 250 and the ambient environment.

[0057] In some embodiments, the projection subsystem 208 takes the form of a scan-based projection device and the display screen takes the form of a waveguide- based display into which the scanned light from the projection subsystem 208 is injected to produce, for example, images at single optical viewing distance closer than infinity (e.g., arm’s length), images at multiple, discrete optical viewing distances or focal planes, and/or image layers stacked at multiple viewing distances or focal planes to represent volumetric 3D objects. These layers in the light field may be stacked closely enough together to appear continuous to the human visual subsystem (e.g., one layer is within the cone of confusion of an adjacent layer). Additionally or alternatively, picture elements may be blended across two or more layers to increase perceived continuity of transition between layers in the light field, even if those layers are more sparsely stacked (e.g., one layer is outside the cone of confusion of an adjacent layer). The display system 204 may be monocular or binocular. The scanning assembly includes one or more light sources that produce the light beam (e.g., emits light of different colors in defined patterns). The light source may take any of a large variety of forms, for instance, a set of RGB sources (e.g., laser diodes capable of outputting red, green, and blue light) operable to respectively produce red, green, and blue coherent collimated light according to defined pixel patterns specified in respective frames of pixel information or data. Laser light provides high color saturation and is highly energy efficient. The optical coupling subsystem includes an optical waveguide input apparatus, such as for instance, one or more reflective surfaces, diffraction gratings, mirrors, dichroic mirrors, or prisms to optically couple light into the end of the display screen. The optical coupling subsystem further includes a collimation element that collimates light from the optical fiber. Optionally, the optical coupling subsystem includes an optical modulation apparatus configured for converging the light from the collimation element towards a focal point in the center of the optical waveguide input apparatus, thereby allowing the size of the optical waveguide input apparatus to be minimized. Thus, the display system 204 generates a series of synthetic image frames of pixel information that present an undistorted image of one or more virtual objects to the user. Further details describing display subsystems are provided in U.S. Utility Patent Application Serial Numbers 14/212,961 , entitled “Display System and Method” (Attorney Docket No. ML.20006.00), and 14/331 ,218, entitled “Planar Waveguide Apparatus With Diffraction Element(s) and Subsystem Employing Same” (Attorney Docket No. ML.20020.00), the contents of which are hereby expressly and fully incorporated by reference in their entirety, as though set forth in full. [0058] The AR system 200 further includes one or more sensors mounted to the frame structure 202 for detecting the position (including orientation) and movement of the head of the user 250 and/or the eye position and inter-ocular distance of the user 250. Such sensor(s) may include image capture devices, microphones, inertial measurement units (IMUs), accelerometers, compasses, GPS units, radio devices, gyros, and the like. For example, in one embodiment, the AR system 200 includes a head worn transducer subsystem that includes one or more inertial transducers to capture inertial measures indicative of movement of the head of the user 250. Such devices may be used to sense, measure, or collect information about the head movements of the user 250. For instance, these devices may be used to detect/measure movements, speeds, acceleration and/or positions of the head of the user 250. The position (including orientation) of the head of the user 250 is also known as a“head pose” of the user 250.

[0059] The AR system 200 of Figure 2A may include one or more forward facing cameras. The cameras may be employed for any number of purposes, such as recording of images/video from the forward direction of the system 200. In addition, the cameras may be used to capture information about the environment in which the user 250 is located, such as information indicative of distance, orientation, and/or angular position of the user 250 with respect to that environment and specific objects in that environment.

[0060] The AR system 200 may further include rearward facing cameras to track angular position (the direction in which the eye or eyes are pointing), blinking, and depth of focus (by detecting eye convergence) of the eyes of the user 250. Such eye tracking information may, for example, be discerned by projecting light at the end user’s eyes, and detecting the return or reflection of at least some of that projected light.

[0061] The augmented reality system 200 further includes a control subsystem 201 that may take any of a large variety of forms. The control subsystem 201 includes a number of controllers, for instance one or more microcontrollers, microprocessors or central processing units (CPUs), digital signal processors, graphics processing units (GPUs), other integrated circuit controllers, such as application specific integrated circuits (ASICs), programmable gate arrays (PGAs), for instance field PGAs (FPGAs), and/or programmable logic controllers (PLUs). The control subsystem 201 may include a digital signal processor (DSP), a central processing unit (CPU) 251 , a graphics processing unit (GPU) 252, and one or more frame buffers 254. The CPU 251 controls overall operation of the system, while the GPU 252 renders frames (i.e., translating a three-dimensional scene into a two- dimensional image) and stores these frames in the frame buffer(s) 254. While not illustrated, one or more additional integrated circuits may control the reading into and/or reading out of frames from the frame buffer(s) 254 and operation of the display system 204. Reading into and/or out of the frame buffer(s) 254 may employ dynamic addressing, for instance, where frames are over-rendered. The control subsystem 201 further includes a read only memory (ROM) and a random access memory (RAM). The control subsystem 201 further includes a three-dimensional database 260 from which the GPU 252 can access three-dimensional data of one or more scenes for rendering frames, as well as synthetic sound data associated with virtual sound sources contained within the three-dimensional scenes. [0062] The control AR augmented reality subsystem 2010 further includes a user orientation detection module 248. The user orientation module 248 detects an instantaneous position of the head of the user 250 and may predict a position of the head of the user 250 based on position data received from the sensor(s). The user orientation module 248 also tracks the eyes of the user 250, and in particular the direction and/or distance at which the user 250 is focused based on the tracking data received from the sensor(s).

[0063] Figure 2B depicts an AR system 200’, according to some embodiments. The AR system 200’ depicted in Figure 2B is similar to the AR system 200 depicted in Figure 2A and describe above. For instance, AR system 200’ includes a frame structure 202, a display system 204, a speaker 206, and a control subsystem 20T operatively coupled to the display system 204 through a link 207. The control subsystem 20T depicted in Figure 2B is similar to the control subsystem 201 depicted in Figure 2A and describe above. For instance, control subsystem 20T includes a projection subsystem 208, an image/video database 271 , a user orientation module 248, a CPU 251 , a GPU 252, a 3D database 260, ROM and RAM.

[0064] The difference between the control subsystem 20T, and thus the AR system 200’, depicted in Figure 2B from the corresponding system/system component depicted in Figure 2A, is the presence of block 290 in the control subsystem 20T depicted in Figure 2B. The block 290 is a separate warping block that is independent from either the GPU 252 or the CPU 251. As illustrated in Figure 2C, the block 290 includes a warping unit 280, a database 292, and a compositing unit 294. The compositing unit 294 includes a blending unit 296. As illustrated in Figure 2D, the warping unit 280 includes a pose estimator 282 and transform unit 284.

[0065] The various processing components of the AR systems 200, 200’ may be contained in a distributed subsystem. For example, the AR systems 200, 200’ include a local processing and data module (i.e. , the control subsystem 201 , 20T) operatively coupled, such as by a wired lead or wireless connectivity 207, to a portion of the display system 204. The local processing and data module may be mounted in a variety of configurations, such as fixedly attached to the frame structure 202, fixedly attached to a helmet or hat, embedded in headphones, removably attached to the torso of the user 250, or removably attached to the hip of the user 250 in a belt-coupling style configuration. The AR systems 200, 200’ may further include a remote processing module and remote data repository operatively coupled, such as by a wired lead or wireless connectivity to the local processing and data module, such that these remote modules are operatively coupled to each other and available as resources to the local processing and data module. The local processing and data module may comprise a power-efficient processor or controller, as well as digital memory, such as flash memory, both of which may be utilized to assist in the processing, caching, and storage of data captured from the sensors and/or acquired and/or processed using the remote processing module and/or remote data repository, possibly for passage to the display system 204 after such processing or retrieval. The remote processing module may comprise one or more relatively powerful processors or controllers configured to analyze and process data and/or image information. The remote data repository may comprise a relatively large-scale digital data storage facility, which may be available through the internet or other networking configuration in a “cloud” resource configuration. In some embodiments, all data is stored and all computation is performed in the local processing and data module, allowing fully autonomous use from any remote modules. The couplings between the various components described above may include one or more wired interfaces or ports for providing wires or optical communications, or one or more wireless interfaces or ports, such as via RF, microwave, and IR for providing wireless communications. In some implementations, all communications may be wired, while in other implementations all communications may be wireless, with the exception of the optical fiber(s).

Summary of Problems and Solutions

[0066] When an optical system generates/renders virtual content, it may use a source frame of reference that may be related to a pose of the system when the virtual content is rendered. In AR systems, the rendered virtual content may have a predefined relationship with a real physical object. For instance, Figure 3 illustrates an AR scenario 300 including a virtual flower pot 310 positioned on top of a real physical pedestal 312. An AR system rendered the virtual flower pot 310 based on a source frame of references in which the location of the real pedestal 312 is known such that the virtual flower pot 310 appears to be resting on top of the real pedestal 312. The AR system may, at a first time, render the virtual flower pot 310 using a source frame of reference, and, at a second time after the first time, display/projected the rendered virtual flower pot 310 using an output frame of reference. If the source frame of reference and the output frame of reference are the same, the virtual flower pot 310 will appear where it was intended to be (e.g., on top of the real physical pedestal 312), for example, as illustrated in Figure 3. [0067] However, if the frame of reference changes (e.g., with user head movement) from the first time at which the virtual flower pot 310 is rendered to the second time at which the rendered virtual flower pot 310 is displayed/projected, the mismatch/difference between the source frame of reference and the output frame of reference may result in visual artifacts/anomalies/glitches. For instance, Figure 4 shows an AR scenario 400 including a virtual flower pot 410 that was rendered to be positioned on top of a real physical pedestal 412. However, because the AR system was moved to the right (e.g., by head rotation to the right) after the virtual flower pot 410 was rendered but before it was displayed/projected, the virtual flower pot 410 is displayed to the right of its intended position 410’ (shown in phantom). As such, the virtual flower pot 410 appears to be floating in midair to the right of the real physical pedestal 412. This artifact may be remedied when the virtual flower pot is re- rendered in the next source frame of reference and displayed in the next output frame of reference (assuming that the AR system motion ceases). However, the artifact will still be visible to some users with the virtual flower pot 410 appearing to glitch by temporarily jumping to an unexpected position. This glitch, and others like it, may have a deleterious effect on the illusion of continuity of an AR scenario.

[0068] Some optical systems may include a warping system that warps or transforms a frame of reference of rendered virtual content from the source frame of reference in which the virtual content was generated to the output frame of reference in which the virtual content will be displayed. In the example depicted in Figure 4, the AR system can detect and/or predict (e.g., using IMUs or eye tracking) the output frame of reference and/or pose. The AR system can then warp or transform the rendered virtual content from the source frame of reference into warped virtual content in the output frame of reference.

[0069] Figure 5 schematically illustrates warping of virtual content to correct for head rotation, according to some embodiments (“rotational warp”). Rendered virtual content 512 in a source frame of reference (render pose) represented by ray 510, is warped into warped virtual content 512’ in an output frame of reference (estimated pose) represented by ray 510’. The warp depicted in Figure 5 may represent a head rotation to the right. While the rendered virtual content 512 is disposed at source X, Y location, the warped virtual content 512’ is transformed to output X’, Y’ location (in a stationary frame of reference). However, due to movement (e.g., rightward rotation) of the user’s head and FOV between rendering the virtual content 512 and displaying the warped virtual content 512’, the warped virtual content 512’ is displayed at a position/orientation relative to the display frame of reference (pose) represent by ray 510’ that is the same as the position/orientation of rendered virtual content 512 relative to the source frame of reference (render pose) represented by ray 510. The warp depicted in Figure 5 results in the warped virtual content 512’ being displayed in the display pose as the rendered virtual content 512 would appear if displayed in the render pose.

[0070] Figures 6-9 schematically illustrates warping of virtual content to correct for head position change, according to some embodiments (“positional warp”). The rendered virtual content 610, 612 from a render pose is warped to generate warped virtual content 610’, 612’ in a display pose. The FOV change from the render pose to the display pose is a positional change (i.e. , movement along some of six degrees of freedom in addition to optional rotation). [0071] Figure 6 depicts a positional warp, according to some embodiments. For instance, an AR system may warp all source subparts forming a 3-D scenario in rendered virtual content. For example, primitives forming a chess piece 610 and a cube 612 may be warped to a warped chess piece 610’ and a warped cube 612’. The chess piece 610 and the cube 612 are shown in phantom in Figure 6 to indicate that they are in the source frame of reference (i.e. , render FOV), and will not be displayed. Instead, the warped chess piece 610’ and the warped cube 612’ (shown in solid lines) in the output frame of reference (i.e., display FOV after positional change) will be displayed.

[0072] Some warping systems/methods also depth test all the subparts (e.g., each primitive forming the warped chess piece 610’ and the warped cube 612’) to generate depth data. After depth testing, the AR system stores all the warped subparts (e.g., primitives) and their relative depths in the source frame of reference (e.g., in a list). Warped virtual content may be stored as a list of all brightnesses/colors at each X, Y position (e.g., pixel) in the output virtual content, including all instances of conflicting warped virtual data (see below).

[0073] The warping systems then resolves all conflicting virtual data at each X, Y position of the stored warped subparts and relative depths (e.g., the list). For example, as illustrated in Figure 7, when two or more different subparts of a 3-D scenario (e.g., the chess piece 610 and the cube 612) are warped into an output frame of reference (e.g., the warped chess piece 610” and the warped cube 612”), portions of these subparts may warp/project into (i.e., be assigned to) a same pixel of a final display image. For instance, area 614” in Figure 7 represents“conflicting” portions of the warped chess piece 610” and the warped cube 612”. The warping system resolves/reconciles these conflicting portions of the warped virtual content when generating output virtual content.

[0074] In some embodiments, if respective pixels of the warped chess piece 610” and the warped cube 612” (e.g., first and second virtual content) would be displayed on the same pixel of the display (i.e., colliding pixels), the warping system may compare the stored depth data corresponding to the respective colliding/conflicting pixel. The colliding pixel (e.g., warped virtual content) closer to a viewing location in the output frame of reference is displayed (assuming that the content is opaque). The colliding pixel closest to the viewing location in the output frame of reference is used to generate a final display image. The remaining colliding pixels are discarded.

[0075] In one instance shown in Figure 8, the warped chess piece 610’” is closer to the user than the warped cube 612’”. As such, when pixels of the warped chess piece 610”’ and the warped cube 612”’ collide, the pixels of the warped chess piece 610”’ are displayed in the output content. In another instance shown in Figure 9, the warped cube 612”” is closer to the user than the warped chess piece 610””. As such, when pixels of the warped chess piece 610”” and the warped cube 612”” collide, the pixels of the warped cube 612”” are displayed in the output content. Because some warping systems generate depth data in the source frame of reference, the depth comparison may involve multiple transformations and may be more complicated than a direct comparison.

[0076] Various steps of warping methods can be perform in two passes or a single pass, as described in U.S. Utility Application Serial Number 15/924,01 1 , the contents of which have been previously incorporate by reference above. Positional warping systems/methods (warping, depth testing, depth comparison, compositing, etc.) can be relatively computationally expensive (resulting in processor/memory related system limitations) and relatively time-consuming (resulting in system latency). Accordingly, some warping methods focus on rotational warp. However, rotational warps can result in various artifacts with various user FOV movements, such as lateral user FOV movement orthogonal to the optical axis (disocclusion, jitter, smearing, which are described in detail below).

[0077] In order to address these limitations, the systems/methods described herein include various embodiments for warping virtual content when the user FOV is moved (e.g., laterally orthogonal to the optical axis). While some embodiments are described with reference to lateral user FOV movement, these embodiments address artifacts resulting from other types of user FOV movements. This minimizes computational expense and time required, which increases with the complexity of the 3-D scenario that must be warped for display. Accordingly, the disclosed embodiments facilitate real-time systems such as some mixed reality systems which maintaining size, power, heat and other processing related parameter within acceptable limits.

Illustrative Graphics Processing Unit

[0078] Figure 10 schematically depicts an exemplary graphics processing unit (GPU) 252 to warp rendered virtual content to an output/display frame of reference, according to some embodiments. The GPU 252 includes an input memory 1010 to store the rendered virtual content to be warped. In some embodiments, the virtual content is stored as a primitive (e.g., a triangle 1 100 in Figure 1 1 ). The GPU 252 also includes a command processor 1012, which (1 ) receives/reads the virtual content from the input memory 1010, (2) divides the virtual content into scheduling units, and (3) sends the scheduling units along the rendering pipeline in waves or warps for parallel processing. The GPU 252 further includes a scheduler 1014 to (1 ) receive the scheduling units from the command processor 1012, and (2) determine whether the“new work” from the command processor 1012 or“old work” returning from downstream in the rendering pipeline (described below) should be sent down the rendering pipeline at any particular time. In effect, the scheduler 1014 determines the sequence in which the GPU 252 processes various input data.

[0079] The GPU 252 includes one or more GPU cores 1016, where each GPU core 1016 has a number of parallel executable cores/units (“shader cores”) 1018 for processing the scheduling units in parallel. The command processor 1012 divides the virtual content into a number equal to the number of shader cores 1018 (e.g., 32). The GPU 252 also includes a“First In First Out” (“FIFO”) memory 1020 to receive output from the GPU core 1016. From the FIFO memory 1020, the output may be routed back to the scheduler 1014 as “old work” for insertion into the rendering pipeline additional processing by the GPU core 1016.

[0080] The GPU 252 further includes a Raster Operations Unit (“ROP”) 1022 that receives output from the FIFO memory 1020 and rasterizes the output for display. For instance, primitives of virtual content may be stored as the coordinates of vertices of triangles. After processing by the GPU core 1016 (during which the three vertices 1 1 10, 1 1 12, 1 1 14 of the triangle 1 100 of Figure 1 1 may be warped), the ROP 1022 determines which pixels 1 1 16 are inside of the triangle 1 100 defined by three vertices 1 1 1 1 , 1 1 12, 1 1 14 and fills in those pixels 1 1 16 in the virtual content. The ROP 1022 may also perform depth testing on the virtual content. [0081] The GPU 252 also includes a buffer memory 1024 for temporarily storing warped virtual content from the ROP 1022. The warped virtual content in the buffer memory 1024 may include brightness/color and depth information at a plurality of X, Y positions in a field of view in an output frame of reference. The output from the buffer memory 1024 may be routed back to the scheduler 1014 as“old work” for insertion into the rendering pipeline additional processing by the GPU core 1016, or for display in the corresponding pixels of a display system. The GPU cores 1016 first processes the vertices 1 1 1 1 , 1 1 12, 1 1 14 of the triangles 1 100, then it processes the pixels 1 1 16 inside of the triangles 1 100. When all the fragments of virtual content in the input memory 1010 have been warped and depth tested (if necessary), the buffer memory 1024 will include all of the brightness/color and depth information needed to display a field of view in an output frame of reference.

Virtual Content Warping Systems and Methods for Lateral Shifts

[0082] In image processing without head pose changes, the results of the processing by the GPU 252 are color/brightness values and depth values at respective X, Y values (e.g., at each pixel). However with lateral head pose changes (i.e. , with lateral movement of the display FOV orthogonal to an optical axis), different portions of virtual content viewed from a viewing location in an output frame of reference different from a source frame of reference in which the virtual content was generated may include various artifacts. As described above, positional warping to correct lateral movement artifacts after lateral head pose changes may be computationally expensive and slow, making it difficult to use with portable display systems, such as mixed reality systems. Further, rotational warping with lateral head pose changes can result various other artifacts. [0083] Figures 12-14 depict positional warping in response to lateral FOV movement, according to some embodiments. Figure 12 depicts rendered virtual objects (a chess piece 1210 and a cube 1212).

[0084] Figure 13 depicts the rendered virtual objects 1210, 1212, and warped virtual objects 1210’, 1212’ after a left lateral FOV movement. The rendered virtual objects 1210, 1212 are shown in phantom in Figure 13 to indicate that the chess piece 1210 and the cube 1212 as generated in the source frame of reference and not in the display frame of reference are not displayed. Only after the warping system has warped the chess piece 1210 and the cube 1212 are the warped chess piece 1210’ and the warped cube 1212’ (shown in solid lines) displayed.

[0085] Figure 14 schematically depicts the rendered virtual objects 1210, 1212 from a top view to show the differences in depth of the rendered virtual objects 1210, 1212. The chess piece 1210 is closer to the viewer at depth D10 (i.e., the depth of the center of the chess piece 1210), and the cube 1212 is farther away from the viewer at depth D12 (i.e., the depth of the center of the cube 1212). Consequently, with the same left lateral FOV movement, the closer object (chess piece 1210) appears to move further to the right compared to the farther object (cube 1212). This difference is illustrated in Figure 13 by the different rightward shifts of the warped chess piece 1210’ and the warped cube 1212’. The differences in the rightward shifts depicted in Figure 13 are selected to illustrate this principle/effect, and is not directly correlated to the depth differences depicted in Figure 14. With a large depth difference, the closer object can appear to shift rightward while the farther object can appear to be stationary. [0086] In some embodiments, depth testing each pixel of each rendered virtual object 1210, 1212 and warping each pixel based on its depth can be computationally expensive to the point that such positional warping may be impractical to implement in portable systems.

Disocclusion Artifact

[0087] Figures 15-19 depict a disocclusion artifact with positional warping, according to some embodiments. Figure 15 depicts rendered virtual objects (a chess piece 1510 and a cube 1512) with an area of overlap 1514 between chess piece 1510 and the cube 1512 from the render pose. Figure 16 shows that, because the chess piece 1510 is close to the viewer than the cube 1512, the portion of the cube 1512 corresponding to the overlap area 1514 is not rendered, which the portion of the chess piece 1510 corresponding to the overlap area 1514 is rendered.

[0088] Figure 17 schematically shows that, with lateral user head movement to the left as in Figure 13, the virtual objects (chess piece 1510 and cube 1512) are warped to the right to generate warped virtual objects (chess piece 1510’ and warped cube 1512’). As explained with respect to Figures 13 and 14, because the chess piece 1510 is closer to the viewer then the cube 1512, chess piece 1510 will be warped farther to the right than the cube 1512 in response to lateral user head movement to the left. This differential warping of the chess piece 1510’ and the warped cube 1512’ uncovers or “disoccludes” the portion of the cube 1512 corresponding to the overlap area 1514. Referring back to Figure 16, the portion of the cube 1512 corresponding to the overlap area 1514 was not rendered. Accordingly, the now disoccluded portion of the warped cube 1512’ corresponding to the previously occluded overlap area 1514’ cannot be displayed because the source virtual object (i.e., the cube 1512) did not include the overlap area 1514.

[0089] Figure 18 shows, without including any non-rendered portions, the positional warping described in Figure 17. Figure 18 shows that the warped cube 1512’ does not include a previously occluded portion (see 1514’ in Figure 17). Figure 19 depicts the next frame that is rendered and displayed assuming that the lateral user head movement stops at the frame depicted in Figure 18. As shown in Figure 19, with the next rendering without user FOV movement, the newly rendered chess piece 1510” and cube 1512” remain in substantially the same position as in Figure 17. However, the newly rendered cube 1512” includes the previously occluded portion (see 1514’ in Figure 17), thereby forming a complete cube 1512”.

[0090] Comparing Figures 18 and 19 shows the disocclusion artifact where in a previously occluded portion of a virtual object (see 1514’ in Figure 17) is first not displayed after a warp uncovers the previously disoccluded portion as shown in Figure 18. Then the previously occluded portion appears when the virtual object is next rendered and displayed as shown in Figure 19. Wherein the disocclusion artifact depicted in Figure 17-19 includes a significant portion of the virtual object (the cube) disappearing and appearing, in other embodiments, depending on many factors including differences in depth, amounts of overlap, speed of FOV movement, disocclusion artifacts may manifest as cracks or other missing portions in solid virtual objects. Regardless of the manifestation, disocclusion artifacts may impact the user experience, reducing the realism of a mixed reality scenario. Because the embodiment depicted in Figures 15-19 still utilizes positional warp, the disocclusion artifacts are also accompanied by the computational expense of positional warp. Smearing Artifact

[0091] Figures 20 and 21 depict a smearing artifact with warping, according to some embodiments. In order to minimize the disocclusion artifacts described above, some warping system/methods stretch a far virtual object when it is disoccluded by warping to fill-in the space between the differentially warped virtual objects. Figure 20 shows such a warp of virtual objects (chess piece 2010 and cube 2012) to the right to generate warped virtual objects (warped chess piece 2010’ and warped cube 2012’) in response to lateral user head movement to the left. A non-occluded portion of the cube 2012 has been stretched to form a filler section 2016 in the space between the warped chess piece 2010’ and warped cube 2012’.

[0092] Figure 21 depicts the next rendering of the chess piece 2010” and cube 2012” without user FOV movement. With the next rendering, the newly rendered chess piece 2010” and cube 2012” remain in substantially the same position as in Figure 20. However, the newly rendered cube 2012” is based on the complete cube (e.g., the cube 1514 from Figure 17) and does not include the filler section 2016 in Figure 20. Further, any differences in characteristics between the portion of the newly rendered cube 2012” and the filler section 2016, which was based on a different portion of the previously rendered cube 2012, will be apparent to the user when comparing Figures 20 and 21. Such characteristics may include color, texture, and the like. This difference in characteristics between the portion of the newly rendered cube 2012” and the filler section 2016 may be referred to as a smearing artifact because the filler section 2016 may appear as a smear of the different portion of the previously rendered cube 2012/2012’. Smearing artifacts can also impact the user experience, reducing the realism of a mixed reality scenario. Because the embodiment depicted in Figures 20-21 still utilizes positional warp, the smearing artifacts are also accompanied by the computational expense of positional warp. Single Depth Warp and Jitter Artifact

[0093] Figures 22-27 depict single depth warp according to two types of embodiments (Figures 22-24 and 25-27). Figures 22-24 depict single depth warp, according to some embodiments. Figure 22 depicts the rendered virtual objects, i.e., a chess piece 2210 at a relatively nearer depth and a cube 2212 at a relatively farther depth.

[0094] Figure 23 depicts warping the rendered virtual objects 2210, 2212 using a single depth. By using a single depth, the relative spatial relationship between the warped virtual objects (a warped chess piece 2210’ and a warped cube 2212’) is substantially the same as the relative spatial relationship between the rendered virtual objects 2210, 2212. The maintenance of substantially the same relative spatial relationship between warped virtual objects 2210’, 2212’ minimizes disocclusion artifacts because the occluded portion of the cube 2212 is not disoccluded until the entire cube 2212” is re-rendered in Figure 24.

[0095] The single depth used to warp the rendered virtual objects 2210, 2212 in the embodiment depicted in Figures 22-24 is the nearest depth of any virtual object in the FOV (i.e., the chess piece 2210). This nearest depth is included in the data corresponding to the rendered virtual objects 2210, 2212. Therefore no depth testing is required. This reduces the computational load of this single depth warp method.

[0096] Comparing the warped virtual objects 2210’, 2212’ in Figure 23 with the re- rendered virtual objects 2210”, 2212” in Figure 24 (i.e., the next rendered frame without user FOV movement) shows that the warped chess piece 2210’ and the re- rendered chess piece 2210” are in substantially the same location because the depth used to warp the chess piece 2210 is the near depth D10 of the chess piece 2210. On the other hand, the warped cube 2212’ and the re-rendered cube 2212” are in different positions because the depth D10 used to warp the cube 2212 is less than the actual far depth D12 of the cube 2212. This causes the warped cube 2212’ to overly shift to the right in response to left lateral FOV movement. Accordingly, sequentially displaying the warped virtual objects 2210’, 2212’ in Figure 23 followed by the re-rendered virtual objects 2210”, 2212” in Figure 24 causes the rendered cube 2212 to appear to move to the right, then snap back to the left. This“jitter artifact” (or“wiggle artifact”) is exacerbated by continuous FOV movement resulting in a series of direction changes for the farther object (i.e. , the rendered cube 2212) or objects in the background generally.

[0097] Figures 25-27 depict single depth warp, according to some other embodiments. Figure 25 depicts the rendered virtual objects, i.e., a chess piece 2510 at a relatively nearer depth and a cube 2512 at a relatively farther depth.

[0098] Figure 26 depicts warping the rendered virtual objects 2510, 2512 using a single depth to maintain substantially the same relative spatial relationship between the warped virtual objects (a warped chess piece 2510’ and a warped cube 2512’). As explained above, maintaining essentially the same relative spacing between the warped virtual object 2510’, 2512’ minimizes disocclusion artifacts because the occluded portion of the cube 2512 is not disoccluded until the entire cube 2512” is re-rendered in Figure 27. [0099] The single depth used to warp the rendered virtual objects 2510, 2512 in the embodiment depicted in Figures 25-27 is the farthest depth of any virtual object in the FOV (i.e. , the cube 2512). This farthest depth is included in the data corresponding to the rendered virtual objects 2510, 2512. Therefore no depth testing is required. This reduces the computational load of this single depth warp method.

[00100] Comparing the warped virtual objects 2510’, 2512’ in Figure 26 with the re- rendered virtual objects 2510”, 2512” in Figure 27 (i.e., the next rendered frame without user FOV movement) shows that the warped cube 2512’ and the re-rendered cube 2512” are in substantially the same location because the depth used to warp the cube 2512 is the far depth D12 of the cube 2512. On the other hand, the warped chess piece 2510’ and the re-rendered chess piece 2510” are in different positions because the depth D12 used to warp the chess piece 2510 is more than the actual near depth D10 of the chess piece 2510. This causes the warped chess piece 2510’ to under shift to the right in response to left lateral FOV movement. Accordingly, sequentially displaying the warped virtual objects 2510’, 2512’ in Figure 26 followed by the re-rendered virtual objects 2510”, 2512” in Figure 27 causes the rendered chess piece 2510 to appear to move partially to the right, then to move further to the right, disoccluding the cube 2512. This artifact has less effect on the realism of the mixed reality scenario for a typical user compared to the jitter artifact described above and shown in Figures 22-24. This may be due to the lack of direction change in the artifact depicted in Figures 25-27, which is perceived (if at all) as a lag rather than a jitter or wiggle with a direction change. [00101] While single distance warp using the farthest and the nearest depths of virtual objects in a FOV are both describe above, other depths in the FOV may also be used to warp rendered virtual objects. For example, in some embodiments, the single distance is the average of the distances of the nearest and farthest objects in the FOV. In some embodiments, the single distance is the mean/average of the distances of all objects in the FOV. In some embodiments, the single distance is the median of the distances of all objects in the FOV.

Multiple Discrete Depth Warp

[00102] Figures 28-31 depict multiple depth warping according to some embodiments. Figure 28 depicts the rendered virtual objects, i.e., a chess piece 2810 at a relatively nearer depth and a cube 2812 at a relatively farther depth.

[00103] Figure 29A depicts the rendered virtual objects 2810, 2812 from a top view to show the differences in depth of the rendered virtual objects 2810, 2812. The chess piece 2810 is closer to the viewer at depth D10, and the cube 2812 is farther away from the viewer at depth D12. Figure 29A also shows six discrete depth slices into which the FOV has been divided 2814, 2816, 2818, 2820, 2822, 2824. In some embodiments, these discrete depth slices 2814, 2816, 2818, 2820, 2822, 2824 correspond to depth slices at which a VR/AR/MR system is configured to display virtual content. The depth slices 2814, 2816, 2818, 2820, 2822, 2824 have limits along an optical axis. For instance, a depth slice according to some embodiments may range from 0.37 m to 1.5 m away from the user’s eye. Another depth slice according to some embodiments may include all distances greater than 1.5 m away from the user’s eye. [00104] While Figure 29A depicts six depth slices 2814, 2816, 2818, 2820, 2822, 2824 having similar thicknesses, in other embodiments, depth slices closer to the user’s eye have thinner thicknesses because the user is more sensitive to depth differences close to the user. For example, Figure 29B depicts sixe depth slices 2814’, 2816’, 2818’, 2820’, 2822’, 2824’ according to some other embodiments. In Figure 29B, each successively farther depth slice (e.g., 2816’ vs 2814’) has a greater thickness. For instance, objects at 1 m and 2 m may be located in discrete depth slices, but objects at 5 m and 10 m may be located in the same depth slice. In some embodiments, the farthest depth slice 2824’ extends to infinity. In various embodiments, the thicknesses of the depth slices can increase linearly or logarithmically (as shown in Figure 29B).

[00105] While Figure 29A depicts six depth slices 2814, 2816, 2818, 2820, 2822, 2824, in other embodiments, the number of depth slices into which a FOV is divided can correspond to the number of virtual objects in the FOV. For instance, if there are three virtual objects in a FOV, the FOV will be divided into three depth slices. While Figures 29A and 29B include six depth slices, in other embodiments, the number of depth slices can be greater than or less than six depending on the virtual scenario and available system resources.

[00106] Figure 30 depicts warping the rendered virtual objects 2810, 2812 (in Figure 29A) using a different depth for each rendered virtual object 2810, 2812 to more accurately position the warped virtual objects 2810’, 2812’. In some embodiments, the distance used to warp the relatively nearer chess piece 2810 is the far distance (“far clip”) D16 of the depth slice 2816 containing the chess piece 2810. The distance used to warp the relatively further cube 2812 is the far clip D22 of the depth slice 2822 containing most of the cube 2812. In other embodiments, the distance used to warp and object may be the middle distance or any other distance of the depth slice containing all or most or some of the virtual object.

[00107] Comparing the warped virtual objects 2810’, 2812’ in Figure 30 with the re- rendered virtual objects 2810”, 2812” in Figure 31 (i.e., the next rendered frame without user FOV movement) shows that the multiple discrete depth warp depicted in Figures 28-31 , while it reduces computational load compared to full positional warping, is still susceptible to disocclusion artifacts.

[00108] While the virtual objects 2810, 2812 shown in Figure 29A are separated by several depth slices, in other embodiments, virtual objects may be separated by distances so small that they can be warped together with minimal warping artifacts. For instance, in some embodiments, objects that are less than 0.1 m apart from each other (e.g., 1.5 m vs 1 .6 m) do not trigger multiple depth warping. In other embodiments, the threshold for multiple depth warping can be measured in diopters (e.g., only for objects more than 1 diopter apart).

Single Depth Warp Based on Eve Tracking

[00109] Figures 32-38 depict single depth warping based on eye tracking according to some embodiments. Figure 32 depicts the rendered virtual objects, i.e., a chess piece 3210 at a relatively nearer depth and a cube 3212 at a relatively farther depth.

[00110] Figure 33 depicts the rendered virtual objects 3210, 3212 from a top view to show the differences in depth of the rendered virtual objects 3210, 3212. The chess piece 3210 is closer to the viewer at depth D10, and the cube 3212 is farther away from the viewer at depth D12. Figure 33 also shows that an eye 3226 of the user is tracking to a direction 3228 that coincides with a location of the chess piece 3210. The direction of the user’s eye 3226 can be tracked, for example, using sensors/camera on an AR system 200.

[00111] Because the direction 3228 of the user’s eye 3226 has been tracked to the chess piece 3210, the depth used to warp both rendered virtual objects 3210, 3212 is the far clip D16 of the depth slice 3216 containing the chess piece 3210. The result of this warp is shown in Figure 34, where the warped virtual objects 3210’, 3212’ are generated using a depth D16 more similar to the depth D10 of the closer chess piece 3210 than the depth D12 of the farther cube 3212.

[00112] As explained above, the warped chess piece 3210’ in Figure 34 and the re-rendered chess piece 3210” in Figure 35 (i.e., the next rendered frame without user FOV movement) are in substantially the same location because the depth D16 used to warp the chess piece 3210 approximates the depth D10 of the chess piece 3210. On the other hand, the warped cube 3212’ and re-rendered cube 3212” are in different positions because the depth D16 used to warp the cube 3212 is less than the actual far depth D12 of the cube 3212. This causes the warped cube 3212’ to overly shift to the right in response to left lateral FOV movement. Accordingly, sequentially displaying the warped virtual objects 3210’, 3212’ in Figure 34 followed by the re-rendered virtual objects 3210”, 3212” in Figure 35 causes the rendered cube 3212 to appear to move to the right, then snap back to the left, resulting in the jitter artifact.

[00113] However, these embodiments use the depth D16 as the single depth for warping all rendered virtual content because the system has tracked the direction 3228 of the user’s eye 3226 to the nearer object (i.e. , the chess piece 3212). Accordingly, while the warped cube 3212’ and the re-rendered cube 3212” are displayed, the user’s focus is away from the cube 3212. The warped cube 3212’ and the re-rendered cube 3212” are shown in broken lines in Figures 34 and 35 to indicate that the user’s focus is away from the cube 3212. Consequently, even though the warp depicted in Figure 34 includes a jitter artifact, the effect of that artifact is minimized by the user’s focus being away from the cube 3212. The user’s focus being directed away from the cube 3212 is depicted in Figures 34 and 35 by rendering the warped and re-rendered cubes 3212’, 3212” using dotted lines. On the other hand, the user’s focus is directed to the chess piece 3210, which is more accurately warped into the warped chess piece 3210’.

[00114] Figure 36 depicts the rendered virtual objects 3210, 3212 from a top view similar to Figure 33. Figure 36 also shows that an eye 3226’ of the user is tracking to a direction 3228’ that coincides with a location of the cube 3212.

[00115] Because the direction 3228’ of the user’s eye 3226’ has been tracked to the cube 3212, the depth used to warp both rendered virtual objects 3210, 3212 is the far clip D22 of the depth slice 3222 containing the majority of the cube 3212. The result of this warp is shown in Figure 37, where the warped virtual objects 3210’”, 3212’” are generated using a depth D22 more similar to the depth D12 of the cube 3212 then the depth D10 of the chess piece 3210.

[00116] As explained above, the warped cube 3212”’ in Figure 37 and the re- rendered cube 3212”” in Figure 38 (i.e., the next rendered frame without user FOV movement) are in substantially the same location because the depth D22 used to warp the cube 3212 approximates the far depth D12 of the cube 3212. On the other hand, the warped chess piece 3210”’ and re-rendered chess piece 3210”” are in different positions because the depth D16 used to warp the chess piece 3210 is less than the actual near depth D10 of the chess piece 3210. This causes the warped chess piece 3210”’ to under shift to the right in response to left lateral FOV movement. Accordingly, sequentially displaying the warped virtual objects 3210”’, 3212”’ in Figure 37 followed by the re-rendered virtual objects 3210””, 3212”” in Figure 38 causes the rendered chess piece 3210 to appear to move partially to the right, then to move further to the right, disoccluding the cube 3212, resulting in the lag artifact.

[00117] However, these embodiments use the depth D22 as the single depth for warping all rendered virtual content because the system has tracked the direction 3228’ of the user’s eye 3226’ to the farther object (i.e., the cube 3212). Accordingly, while the warped chess piece 3210”’ and the re-rendered chess piece 3210”” are displayed, the user’s focus is away from the chess piece 3210. The warped chess piece 3210”’ and the re-rendered chess piece 3210”” are shown in broken lines in Figures 36 and 37 to indicate that the user’s focus is away from the chess piece 3210. Consequently, even though the warp depicted in Figure 36 includes a lag artifact, the effect of that artifact is minimized by the user’s focus away from the chess piece 3210. The user’s focus being directed away from the chess piece 3210 is depicted in Figures 37 and 38 by rendering the warped and re-rendered chess pieces 3210’, 3210” using dotted lines. On the other hand, the user’s focus is directed to the cube 3212, which is more accurately warped into the warped cube 3212”’.

[00118] While single depth warp using the far clip of a depth slice including a virtual object to which a user’s eye has been tracked is described above, the single depth based on eye tracking can be other depths associated with a virtual object. These include the near distance (“near clip”) of the depth slice including the virtual object, or any distance between the near and far clips.

Mesh Based Warp

[00119] Figures 39-45 depict warping using meshes of virtual content, for example, to reduce the computational load, according to some embodiments. Figure 39 schematically depicts the rendered virtual objects 3910, 3912 from a top view to show the differences in depth of the rendered virtual objects 3910, 3912. The chess piece 3910 is closer to the viewer at depth D1 , and the cube 3912 is farther away from the viewer at depth D2. Figure 39 also shows that each of the rendered virtual objects 3910, 3912 includes one or more pixels 3914 (see pixels 1 1 16 of primitive triangle 1 100 in Figure 1 1 ). The rendered virtual objects 3910, 3912 may also include one or more primitives. Warping each pixel 3914 of each rendered virtual objects 3910, 3912 may be computationally expensive. [00120] Figure 40 schematically depicts meshes 3910’, 3912’ formed from and approximating the rendered virtual objects 3910, 3912 (see Figure 39). The meshes 3910’, 3912’ do not include individual pixels 3914, which may reduce computational complexity for warping. The meshes can be formed from the rendered virtual objects 3910, 3912 using a grid. Further, the meshes 3910’, 3912’ include vertices 3916 that approximate the meshes 3910’, 3912’, which may further reduce computational complexity for warping, as shown in Figure 41. The meshes 3910’, 3912’ can be reconstructed from the vertices 3916 and the virtual objects 3910, 3912 can be reconstructed from the meshes 3910’, 3912’. However, the simplification and reconstruction process may introduce artifacts into the reconstructed virtual objects 3918, 3920, as shown in Figure 42.

[00121] Figure 43 depicts the rendered virtual objects, i.e. , a chess piece 3910 at a relatively nearer depth and a cube 3912 at a relatively farther depth. Figure 44 depicts the results of a mesh based warp (i.e., reconstructed chess piece 3918 and reconstructed cube 3920), and Figure 45 depicts the next frame of re-rendered virtual objects (i.e., re-rendered chess piece 3910” and re-rendered cube 3912” without user FOV movement). Because of the simplification of the rendered virtual objects 3910, 3912 into meshes 3910’, 3912’ and/or vertices 3916, the simplified virtual objects can be warped using positional warping techniques without undue computational load. While the regularly shaped cube is similar in both Figures 44 and 45, the less regularly shaped chess piece has some reconstruction artifacts in Figure 44. The size of the meshes can be adjusted to optimize reconstruction artifacts while minimizing computational load. [00122] While various warping techniques have been described individually, these techniques can be combined with each other to improve warp effectiveness without departing from the scope and spirit of the disclosure.

System Architecture Overview

[00123] Figure 46 is a block diagram of an illustrative computing system 1300 suitable for implementing an embodiment of the present disclosure. Computer system 1300 includes a bus 1306 or other communication mechanism for communicating information, which interconnects subsystems and devices, such as processor 1307, system memory 1308 (e.g., RAM), static storage device 1309 (e.g., ROM), disk drive 1310 (e.g., magnetic or optical), communication interface 1314 (e.g., modem or Ethernet card), display 131 1 (e.g., CRT or LCD), input device 1312 (e.g., keyboard), and cursor control.

[00124] According to one embodiment of the disclosure, computer system 1300 performs specific operations by processor 1307 executing one or more sequences of one or more instructions contained in system memory 1308. Such instructions may be read into system memory 1308 from another computer readable/usable medium, such as static storage device 1309 or disk drive 1310. In alternative embodiments, hard-wired circuitry may be used in place of or in combination with software instructions to implement the disclosure. Thus, embodiments of the disclosure are not limited to any specific combination of hardware circuitry and/or software. In one embodiment, the term“logic” shall mean any combination of software or hardware that is used to implement all or part of the disclosure.

[00125] The term“computer readable medium” or“computer usable medium” as used herein refers to any medium that participates in providing instructions to processor 1307 for execution. Such a medium may take many forms, including but not limited to, non- volatile media and volatile media. Non-volatile media includes, for example, optical or magnetic disks, such as disk drive 1310. Volatile media includes dynamic memory, such as system memory 1308.

[00126] Common forms of computer readable media includes, for example, floppy disk, flexible disk, hard disk, magnetic tape, any other magnetic medium, CD-ROM, any other optical medium, punch cards, paper tape, any other physical medium with patterns of holes, RAM, PROM, EPROM, FLASH-EPROM (e.g., NAND flash, NOR flash), any other memory chip or cartridge, or any other medium from which a computer can read.

[00127] In an embodiment of the disclosure, execution of the sequences of instructions to practice the disclosure is performed by a single computer system 1300. According to other embodiments of the disclosure, two or more computer systems 1300 coupled by communication link 1315 (e.g., LAN, PTSN, or wireless network) may perform the sequence of instructions required to practice the disclosure in coordination with one another.

[00128] Computer system 1300 may transmit and receive messages, data, and instructions, including program, i.e., application code, through communication link 1315 and communication interface 1314. Received program code may be executed by processor 1307 as it is received, and/or stored in disk drive 1310, or other non- volatile storage for later execution. Database 1332 in storage medium 1331 may be used to store data accessible by system 1300 via data interface 1333.

Virtual Object Depth Determination [00129] The depth of a virtual object is needed to accurately warp that virtual object. However, in some embodiments, the depth of virtual objects are not known. For instance, some applications only provide a stereo pair of images for a virtual object (e.g., for projection) and not the virtual object ' s depth. In order to accurately warp such virtual objects, a method is needed to determine the depth of such virtual objects while minimizing demands on system resources.

[00130] Figures 47 to 53 depict a method for determining/estimating the depth of a virtual object from a stereo pair of images for that virtual object. This method assumes that the first member of the stereo pair (e.g., left or right eye) is a perfect warp for the other member of the stereo pair (e.g., right or left eye) because the application rendered both members of the stereo pair using the appropriate point of view (POV). In general, the method identifies one member of the stereo pair (e.g., right eye) as the“reference eye,” and warps/re-projects the second member of the stereo pair (e.g., left eye) to the POV of the first member at one or more depths. Then the method compares the re-projected second member to the first member to determine a re-projection error at each of the one or more depths. The depth with the minimum re-projection error is then identified as the determined/estimated depth of the virtual object.

[00131] Figure 53 is a flowchart illustrating the method 5310. At step 5312, a system (e.g., a VR/AR/MR system) re-projects a first image of a stereo pair of a virtual object over a second image of the stereo pair of the virtual object at one or more depths to generate one or more combination images.

[00132] Exemplary combination images are shown in Figures 50 to 52. In those figures, the reference second image 5012 remained stationary and the test first image is re-projected 51 10, 51 10’, 51 10” at different depths over the reference second image 51 12. Because of the different depths used to re-project the test first image, the re-projected first test images 51 10, 51 10’, 51 10” are in different positions relative to the reference second image 5012.

[00133] The number of depths used in this method may be determined by the lesser of (1 ) the maximum number of depths the system can evaluate in real-time and (2) the maximum disparity in pixels between the eyes of a viewer. In other words, even if the system is capable of evaluating 100 different depths in real-time, if the maximum distance parity in pixels between the eyes of a user corresponds to 50 different depths, 50 different depths will be used in the method to identify the depth of a virtual object. In some embodiments, 64 different depths are used in the method. The maximum disparity in pixels between the eyes of the user may be a function of the interpupillary distance, the focal length, and/or the near depth plane. In some embodiments, each depth plane is evenly space such that the corresponding re-projected first test image shifts by approximately 1 pixel intervals.

[00134] Referring to Figure 53, at step 5314 the system measures a re-projection error at each depth. Re-projection errors occur when the depth plane used to re- project the first test image is a sub optimal mismatch to the depth of the virtual object (e.g., in the reference second image). The system quantitates the re-projection error at each depth.

[00135] At step 5316, the system analyzes the one or more re-projection errors corresponding to the one or more depths to identify a minimum re-projection error. The depth with the minimum re-projection error is then identified as the determined/estimated depth of the virtual object in step 5318. [00136] In order to perform these analyses in real-time, the system may divide the series of evaluations at each of the one or more depth planes into multiple frames (e.g., approximately 10 frames). The analyses may also be performed on a down sampled version of the image frame (e.g., at 25% of each dimension) to reduce the computational load. The method 5300 may be repeated a number of times to improve the accuracy of the method.

[00137] Figures 47 to 49 schematically depicts the method 5300 described above. Figure 47 shows that a 3D virtual object 4710 is re-projected from the left eye 4714 to the right eye 4716 at one or more depth planes 4712. Figure 48 shows that the method identifies a best warping plane 4718 (e.g., combination image with the minimum re-projection error) that corresponds with the depth of the virtual object 4710. Figure 49 shows that the best warping plane 4718 and its determined/estimated depth may be used by the system to more accurately warp the stereo pair of images 4714, 4716 to a new POV 4720 (e.g., resulting from your movement).

Stabilization Plane Depth Determination

[00138] For any given amount of POV movement, as a virtual object’s approaches infinity, the apparent movement of the virtual object with the POV movement approaches zero. The“stabilization plane” is defined as the depth (approaching infinity) at which the apparent movement of a virtual object with a particular POV movement approaches zero to such a degree that the apparent movement becomes unnoticeable/un-perceivable to a system viewer. For instance, system limitations in terms of display, processing, speed, etc. may render small amounts of movement (e.g., one or two pixels) unnoticeable/un-perceivable to a typical user. Identifying the depth of the stabilization plane with a particular POV movement allows the system to forgo warping of virtual objects farther than the stabilization plane with POV movements less than the particular POV movement. This optimization reduces system demands in terms of processing, memory, communications channels, etc.

[00139] As shown in Figure 54, in some embodiments, there is an inverse relationship between apparent movement of a virtual object (in terms of pixels) and the stabilization depth (in terms of diopters, which is an inverse of distance).

[00140] Figure 55 depicts a method of determining a stabilization plane depth. At step 5512, the system (e.g., a VR/AR/MR system) obtains an amount of POV movement. The amount of POV movement may be obtained from sensors on the system showing user/viewer movement, or the amount of POV movement may be a predetermined maximal POV movement value.

[00141] At step 5514, the system determines a relationship between stabilization depth and apparent virtual object movement based on the obtained POV movement. In some embodiments, a pixels versus diopters graph such as the one shown in Figure 54 may be generated.

[00142] At step 5516, the system obtains a maximum unnoticeable/un-perceivable apparent virtual object movement for the display system as described above. This value may be measured in pixels.

[00143] At step 5518, the system identifies a stabilization depth corresponding to the maximum unnoticeable/un-perceivable apparent virtual object movement as the minimum stabilization depth.

[00144] At this minimum stabilization depth, POV movement up to the amount of POV movement obtained at step 5512 will be unnoticeable/un-perceivable to a typical user of the system. As such, the system may be configured to forgo warping of any virtual objects farther than this minimum stabilization depth from the as long as POV movement remains under the POV movement obtained at step 5512. Foregoing warping of these virtual objects improves the efficiency of the system by reducing system load in terms of processing, memory, communications channels, etc.

[00145] The disclosure includes methods that may be performed using the subject devices. The methods may comprise the act of providing such a suitable device. Such provision may be performed by the user. In other words, the“providing” act merely requires the user obtain, access, approach, position, set-up, activate, power- up or otherwise act to provide the requisite device in the subject method. Methods recited herein may be carried out in any order of the recited events which is logically possible, as well as in the recited order of events.

[00146] Exemplary aspects of the disclosure, together with details regarding material selection and manufacture have been set forth above. As for other details of the present disclosure, these may be appreciated in connection with the above- referenced patents and publications as well as generally known or appreciated by those with skill in the art. The same may hold true with respect to method-based aspects of the disclosure in terms of additional acts as commonly or logically employed.

[00147] In addition, though the disclosure has been described in reference to several examples optionally incorporating various features, the disclosure is not to be limited to that which is described or indicated as contemplated with respect to each variation of the disclosure. Various changes may be made to the disclosure described and equivalents (whether recited herein or not included for the sake of some brevity) may be substituted without departing from the true spirit and scope of the disclosure. In addition, where a range of values is provided, it is understood that every intervening value, between the upper and lower limit of that range and any other stated or intervening value in that stated range, is encompassed within the disclosure.

[00148] Also, it is contemplated that any feature of the inventive variations described may be set forth and claimed independently, or in combination with any one or more of the features described herein. Reference to a singular item, includes the possibility that there are plural of the same items present. More specifically, as used herein and in claims associated hereto, the singular forms“a,”“an,”“said,” and “the” include plural referents unless the specifically stated otherwise. In other words, use of the articles allow for“at least one” of the subject item in the description above as well as claims associated with this disclosure. It is further noted that such claims may be drafted to exclude any optional element. As such, this statement is intended to serve as antecedent basis for use of such exclusive terminology as“solely,”“only” and the like in connection with the recitation of claim elements, or use of a“negative” limitation.

[00149] Without the use of such exclusive terminology, the term“comprising” in claims associated with this disclosure shall allow for the inclusion of any additional element-irrespective of whether a given number of elements are enumerated in such claims, or the addition of a feature could be regarded as transforming the nature of an element set forth in such claims. Except as specifically defined herein, all technical and scientific terms used herein are to be given as broad a commonly understood meaning as possible while maintaining claim validity.

[00150] The breadth of the present disclosure is not to be limited to the examples provided and/or the subject specification, but rather only by the scope of claim language associated with this disclosure.

[00151] In the foregoing specification, the disclosure has been described with reference to specific embodiments thereof. It will, however, be evident that various modifications and changes may be made thereto without departing from the broader spirit and scope of the disclosure. For example, the above-described process flows are described with reference to a particular ordering of process actions. However, the ordering of many of the described process actions may be changed without affecting the scope or operation of the disclosure. The specification and drawings are, accordingly, to be regarded in an illustrative rather than restrictive sense.