BS-Patch: Constrained Bezier Parametric Patch
Abstract
Bezier parametric patches are used in engineering practice quite often, especially in CAD/CAM systems oriented to mechanical design. In many cases quadrilateral meshes are used for tessellation of parameters domain. We propose a new modification of the Bezier cubic rectangular patch, the BS-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 Bezier patch. Theoretical derivation of conditions is presented and some experimental results as well. The BS-Patch is convenient for applications where for different tessellation of the u-v domain different degrees of diagonal curves are not acceptable.
Keywords
Cite
@article{arxiv.2212.11986,
title = {BS-Patch: Constrained Bezier Parametric Patch},
author = {Vaclav Skala and Vit Ondracka},
journal= {arXiv preprint arXiv:2212.11986},
year = {2022}
}
Comments
Draft of the paper: WSEAS Trans.on Mathematics, E-ISSN 2224-2880, No.5, Vol.12, pp.598-607, 2013. arXiv admin note: text overlap with arXiv:2212.11875