Interpolation using radial basis functions with application...

Computer graphics processing and selective visual display system – Computer graphics processing – Animation

Reexamination Certificate

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Reexamination Certificate

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07012609

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).
Rose, C. et al. “Verbs and Adverbs: Multidimensional Motion Interpolation”. IEEE Computer Graphics and Applications. Sep./Oct. 1998.
Peter-Pike Sloan, et al. “Shape and Animation by Example”. Jul. 2000.
Wiley, D. J. et al. “Interpolation Synthesis of Articulated Figure Motion”. IEEE Computer Graphics and Applications. 1997. 17(6).
Zhao, J. et al. “Inverse Kinematics Positioning using Nonlinear Programming for Highly Articulated Figures”. ACM Transactions on Graphics. 1994.

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