Interpolation using radial basis functions with application...

Details Interpolation using radial basis functions with application... Interpolation using radial basis functions with application...

2005-02-15

2005-02-15

Zimmerman, Mark (Department: 2671)

Computer graphics processing and selective visual display system

Computer graphics processing

Animation

Reexamination Certificate

active

06856319

ABSTRACT:
A technique for solving an inverse-kinematic problem by interpolating solutions from examples. Example poses or motions of an object are collected and annotated. The annotations are essentially parameters for a function—i.e., the function X(p) generates degree-of-freedom values of an object that is posed in a manner that satisfies parameters p. The analytic function X is interpolated from these examples and improved automatically based on kinematic measurements. Preferably, the interpolation is created by taking a weighted sum of cardinal basis functions having linear and radial parts. Preferably, the interpolation is a weighted sum of cardinal basis functions having linear and radial portions.

REFERENCES:
patent: 6462742 (2002-10-01), Rose et al.
Rose, C.F. III, et al. “Artist-directed inverse-kinematics using radial basis function interpolation”,Eurographics, 2001, 20(3), 13 pages.
Rose, C. et al., “Verbs and Adverbs: Multidimensional motion interpolation”,IEEE Computer Graphics and Applications, Sep./Oct. 1998, 32-40.
Peter-Pike Sloan, et al., “Shape and Animation by Example”, Jul. 2000, 1-22.
Wiley, D.J. et al., “Interpolation synthesis of articulated figure motion”,IEEE Computer Graphics and Applications, 1997, 17(6), 39-45.
Zhao, J. et al., “Inverse kinematics positioning using nonlinear programming for highly articulated figures”,ACM Transactions on Graphics, 1994, 13(4), 313-336.

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