Hermite mean value interpolation on polygons.

Rick Beatson,Michael S. Floater, Carl Emil Kåshagen

Computer Aided Geometric Design（2018）

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摘要

Hermite mean value interpolation is a method for interpolating function values and derivatives on the boundary of a domain, using boundary integrals. In this paper we specialize the interpolation to polygonal domains and show that if the boundary data is piecewise quadratic, the integrals can be found explicitly and evaluated easily.

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关键词

Transfinite interpolation,Hermite interpolation,Mean value coordinates

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