Triangular domain extension of linear Bernstein-like trigonometric polynomial basis

@article{Shen2009TriangularDE,
title={Triangular domain extension of linear Bernstein-like trigonometric polynomial basis},
author={Wan-qiang Shen and Guo-Zhao Wang},
journal={Journal of Zhejiang University SCIENCE C},
year={2009},
volume={11},
pages={356-364}
}

In computer aided geometric design (CAGD), the Bernstein-Bézier system for polynomial space including the triangular domain is an important tool for modeling free form shapes. The Bernstein-like bases for other spaces (trigonometric polynomial, hyperbolic polynomial, or blended space) has also been studied. However, none of them was extended to the triangular domain. In this paper, we extend the linear trigonometric polynomial basis to the triangular domain and obtain a new Bernstein-like basis… CONTINUE READING