Geometry

   

Inverse Distance Coordinates for Scattered Sets of Points

Authors: Jan Hakenberg

We present meshfree generalized barycentric coordinates for scattered sets of points in d-dimensional vector space. The coordinates satisfy the Lagrange property. Our derivation is based on the projection of Shepard’s popular inverse distance weights to their best fit in the subspace of coordinates with linear reproduction. The notion of distance between a pair of points is sufficient for the construction of coordinates.

Comments: 3 Pages.

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Submission history

[v1] 2020-02-07 07:01:13

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