Conversion of matrix weighted rational B\'{e}zier curves to rational B\'{e}zier curves
Numerical Analysis
2020-01-31 v2 Numerical Analysis
Abstract
Matrix weighted rational B\'{e}zier curves can represent complex curve shapes using small numbers of control points and clear geometric definitions of matrix weights. Explicit formulae are derived to convert matrix weighted rational B\'{e}zier curves in 2D or 3D space to rational B\'{e}zier curves. A method for computing the convex hulls of matrix weighted rational B\'{e}zier curves is given as a conjecture.
Keywords
Cite
@article{arxiv.2001.10942,
title = {Conversion of matrix weighted rational B\'{e}zier curves to rational B\'{e}zier curves},
author = {Xunnian Yang},
journal= {arXiv preprint arXiv:2001.10942},
year = {2020}
}
Comments
6 pages, 2 figures