Quantum ( q , h )-Bézier surfaces based on bivariate ( q , h )-blossoming

Ilija Jegdić; Plamen Simeonov; Vasilis Zafiris

首页> 外文期刊>Demonstratio Mathematica >Quantum ( q , h )-Bézier surfaces based on bivariate ( q , h )-blossoming

【24h】

Quantum ( q , h )-Bézier surfaces based on bivariate ( q , h )-blossoming

机译：Quantum ( q , h )-Bézier surfaces based on bivariate ( q , h )-blossoming

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相关主题

摘要

We introduce the ( q , h )-blossom of bivariate polynomials, and we define the bivariate ( q , h )-Bernstein polynomials and ( q , h )-Bézier surfaces on rectangular domains using the tensor product. Using the ( q , h )-blossom, we construct recursive evaluation algorithms for ( q , h )-Bézier surfaces and we derive a dual functional property, a Marsden identity, and a number of other properties for bivariate ( q , h )-Bernstein polynomials and ( q , h )-Bézier surfaces. We develop a subdivision algorithm for ( q , h )-Bézier surfaces with a geometric rate of convergence. Recursive evaluation algorithms for quantum ( q , h )-partial derivatives of bivariate polynomials are also derived.

著录项

来源
《Demonstratio Mathematica》 |2019年第1期|451-466|共16页
作者
Ilija Jegdić; Plamen Simeonov; Vasilis Zafiris;
展开▼
作者单位

Texas Southern University;

University of Houston – Downtown;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类
关键词
Bézier surface; bivariate (q; h)-blossom; h)-Bernstein basis; Marsden identity; quantum differentiation; recursive evaluation; subdivision;

Quantum ( q , h )-Bézier surfaces based on bivariate ( q , h )-blossoming

摘要

著录项

相关主题

期刊订阅