English

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

Graphics 2020-02-27 v1 Computational Geometry

Abstract

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

Cite

@article{arxiv.2002.11347,
  title  = {A multi-sided generalization of the $C^0$ Coons patch},
  author = {Péter Salvi},
  journal= {arXiv preprint arXiv:2002.11347},
  year   = {2020}
}
R2 v1 2026-06-23T13:54:13.448Z