Rational Interpolation Skinning Surface via Continued Fractions Interpolation Based on Partial Generalized Function Inverse

Abstract

Abstract: A two-variable functions partial generalized inverse was proposed, and using the proposed partial generalized inverse, the partial inverse difference of two-variable functions was defined, and then based on the partial inverse difference. Thiele continued fraction interpolation algorithm for rational interpolation skinning surface and parameters rational interpolation spline skinning surface were proposed respectively. Interpolation recursion formula for the rational interpolation skinning surface was presented, and numerical simulation example illustrates the effectiveness of skinning surface modeling algorithm.

Key words: function generalized inverse, partial inverse difference, continued fractions, rational transfinite interpolation, skinning surface

CLC Number:

TP391.41

Zhao Huanxi. Rational Interpolation Skinning Surface via Continued Fractions Interpolation Based on Partial Generalized Function Inverse[J]. Journal of System Simulation, 2016, 28(10): 2497-2502.

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