Bases for shape preserving curves

Journal of Numerical Analysis and Approximation Theory

Francesca Pitolli¹ 

[1] Universita di Roma “La Sapienza”, Italy;

关键词: total positivity;    shape preserving;    optimal bases;   

DOI  :  

来源: DOAJ

【 摘 要 】

The shape preserving properties of a curve in \(\mathbb{R}^2\) depend on the properties of the function basis we use in its representation. Both sign consistent and totally positive bases have shape preserving properties useful in Computer Aided Geometric Design. Some of the most useful properties are lightened and some examples of shape preserving bases are given.

【 授权许可】

Unknown