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A multi-sided generalization of the $C^0$ Coons patch

Published 26 Feb 2020 in cs.GR and cs.CG | (2002.11347v1)

Abstract: Most multi-sided transfinite surfaces require cross-derivatives at the boundaries. Here we show a general $n$-sided patch that interpolates all boundaries based on only positional information. The surface is a weighted sum of $n$ Coons patches, using a parameterization based on Wachspress coordinates.

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