A circular parameterization for multi-sided patches
Computational Geometry
2023-05-15 v1
Abstract
Most genuine multi-sided surface representations depend on a 2D domain that enables a mapping between local parameters and global coordinates. The shape of this domain ranges from regular polygons to curved configurations, but the simple circular domain - to the best of our knowledge - has not been investigated yet. Here we fill this gap, and introduce a parameter mapping ideal for use with periodic boundaries. It is based on circular arcs and satisfies constraints often needed in actual surface formulations. The proposed method is demonstrated through a corner-based variant of Generalized B\'ezier patches.
Keywords
Cite
@article{arxiv.2305.07534,
title = {A circular parameterization for multi-sided patches},
author = {Péter Salvi},
journal= {arXiv preprint arXiv:2305.07534},
year = {2023}
}