Curve implicitization in the bivariate tensor-product Bernstein basis
数值分析
2007-05-23 v1
摘要
The approach to curve implicitization through Sylvester and Bezout resultant matrices and bivariate interpolation in the usual power basis is extended to the case of Bernstein-Bezoutian matrices constructed when the polynomials are given in the Bernstein basis. The coefficients of the implicit equation are also computed in the bivariate tensor-product Bernstein basis, and their computation involves the bidiagonal factorization of the inverses of certain totally positive matrices.
引用
@article{arxiv.math/0512448,
title = {Curve implicitization in the bivariate tensor-product Bernstein basis},
author = {Ana Marco and Jose-Javier Martinez},
journal= {arXiv preprint arXiv:math/0512448},
year = {2007}
}
备注
11 pages