Barycentric interpolation and mappings on smooth convex domains

Symposium on Solid and Physical Modeling, pp. 111-116, 2010.

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Keywords:
convex regionintegral kernelinterpolation propertysimple methodimage deformationMore(10+)

Abstract:

In a recent paper, Warren, Schaefer, Hirani, and Desbrun proposed a simple method of interpolating a function defined on the boundary of a smooth convex domain, using an integral kernel with properties similar to those of barycentric coordinates on simplexes. When applied to vector-valued data, the interpolation can map one convex region ...More

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