Title:
SYSTEM AND METHOD FOR DEFINING T-SPLINE AND T-NURCC SURFACES USING LOCAL REFINEMENTS
Document Type and Number:
WIPO Patent Application WO2004088468
Kind Code:
A3
Abstract:
A system and method is provided for defining a bi-cubic spline surface in a computing environment. One operation in the method is creating a control mesh with a substantially rectangular structure (150). A further operation is inferring from the control mesh the tensor product B-spline basis functions for each control point (152). The surface can then be computed based on the basis functions and the control mesh (154).
Inventors:
SEDERBERG THOMAS W (US)
Application Number:
PCT/US2004/009309
Publication Date:
September 29, 2005
Filing Date:
March 26, 2004
Export Citation:
Assignee:
UNIV BRIGHAM YOUNG (US)
SEDERBERG THOMAS W (US)
SEDERBERG THOMAS W (US)
International Classes:
G06F1/00; G06F17/00; G06F17/50; G06T17/00; G06T17/20; G06F; (IPC1-7): G06T17/00
Other References:
BAKENOV A. ET AL.: "Tensor Product B-Spline Surfaces with T-Junctions.", DEPARTMENT OF COMPUTER SCIENCE, BRIGHAM YOUNG UNIVERSITY., August 2001 (2001-08-01), pages 1 - 106, XP009144931
CATMULL E. ET AL.: "Recusively Generated B-Spline Surfaces on Arbitrary Topological Meshes.", COMPUTER-AIDED DESIGN., vol. 10, no. 6, November 1978 (1978-11-01), pages 350 - 355, XP001058481
WELLER F. ET AL.: "Tensor Product Spline Spaces with Knot Segments.", MATHEMATICAL METHODS FOR CURVES AND SURFACES. VANDERBILT UNIVERSITY PRESS., 1995, pages 563 - 572, XP008050764
SEDERBERG T.W. ET AL.: "T-Splines and T-NURCCs.", ACM TRANSACTIONS ON GRAPHICS., vol. 22, no. 3, July 2003 (2003-07-01), pages 477 - 478, XP002990565
SEDERBERG T.W. ET AL.: "T-Spline Simplification and Local Refinement.", ACM TRANSACTIONS ON GRAPHICS., vol. 23, no. 3, August 2004 (2004-08-01), pages 276 - 283, XP008050781
CATMULL E. ET AL.: "Recusively Generated B-Spline Surfaces on Arbitrary Topological Meshes.", COMPUTER-AIDED DESIGN., vol. 10, no. 6, November 1978 (1978-11-01), pages 350 - 355, XP001058481
WELLER F. ET AL.: "Tensor Product Spline Spaces with Knot Segments.", MATHEMATICAL METHODS FOR CURVES AND SURFACES. VANDERBILT UNIVERSITY PRESS., 1995, pages 563 - 572, XP008050764
SEDERBERG T.W. ET AL.: "T-Splines and T-NURCCs.", ACM TRANSACTIONS ON GRAPHICS., vol. 22, no. 3, July 2003 (2003-07-01), pages 477 - 478, XP002990565
SEDERBERG T.W. ET AL.: "T-Spline Simplification and Local Refinement.", ACM TRANSACTIONS ON GRAPHICS., vol. 23, no. 3, August 2004 (2004-08-01), pages 276 - 283, XP008050781
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