Title:
複数の観察されたテンソル間の改良された補間方法
Document Type and Number:
Japanese Patent JP2009524070
Kind Code:
A
Abstract:
A method of interpolation between a plurality of field gradient tensors including the steps of: accessing a plurality of field gradient data; formatting said plurality of field gradient data into 3-dimensional tensors of rank 2; determining a rotational matrix and a structural matrix for each tensor; interpolating said structural matrices; detecting errors in the raw data only apparent using the rotational component. interpolating said rotational matrices as quaternions on the surface of a unit 4-sphere; reconstructing said structural matrices and said rotational matrices to yield field gradient tensors at the interpolation points, wherein the interpolation is between two said field gradient tensors, the field gradient tensors being expressed as 3×3 matrices of values, each resolved into a rotational matrix and a structural matrix with three diagonal components.
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Inventors:
Fitzgerald, Desmond, James
Holstein, Horst
Holstein, Horst
Application Number:
JP2008551600A
Publication Date:
June 25, 2009
Filing Date:
January 24, 2007
Export Citation:
Assignee:
Desmond Fitzgerald and Associates Pty Ltd.
International Classes:
G01V7/00; G01V3/00
Domestic Patent References:
| JP2006337190A | 2006-12-14 | |||
| JP2005152175A | 2005-06-16 | |||
| JP2006528898A | 2006-12-28 | |||
| JP2006018828A | 2006-01-19 | |||
| JP2005525205A | 2005-08-25 |
Foreign References:
| US20050114032A1 | 2005-05-26 | |||
| WO2005008289A1 | 2005-01-27 | |||
| US20040172199A1 | 2004-09-02 | |||
| US6502037B1 | 2002-12-31 | |||
| US6306091B1 | 2001-10-23 | |||
| US6278948B1 | 2001-08-21 | |||
| US6270459B1 | 2001-08-07 |
Attorney, Agent or Firm:
Yuichi Yamada
Masakazu Noda
Ikeda adult
Masakazu Noda
Ikeda adult