English

S-patch: Modification of the Hermite parametric patch

Graphics 2022-12-23 v1

Abstract

A new modification of the Hermite cubic rectangular patch is proposed: the S-Patch, which is based on the requirement that diagonal curves must be of degree 3 instead of degree 6 as it is in the case of the Hermite patch. Theoretical derivation of conditions is presented and some experimental results as well. The S-Patch is convenient for applications, where different tessellation of the u-v domain is needed, boundary and diagonal curves of different degrees are not acceptable.

Cite

@article{arxiv.2212.11875,
  title  = {S-patch: Modification of the Hermite parametric patch},
  author = {Vaclav Skala and Vit Ondracka},
  journal= {arXiv preprint arXiv:2212.11875},
  year   = {2022}
}

Comments

Draft of the paper: S-Patch: Modification of the Hermite Parametric Patch, ICGG 2010 conference, Kyoto, Japan, 2010

R2 v1 2026-06-28T07:49:17.310Z