﻿ Applications of Lupas q-analogue Bernstein Operator in CAGD-大连理工大学数学科学学院（新）

# Applications of Lupas q-analogue Bernstein Operator in CAGD

2017年08月31日 10:10  点击：[]

学术报告

报告题目：Applications of Lupas q-analogue Bernstein Operator in CAGD

报告人：韩力文  教授   河北师范大学数学与信息科学学院

报告时间：201797日下午15:30

报告地点：创新园大厦A1101

报告校内联系人：朱春钢  教授     联系电话84708351-8315

报告摘要: Bernstein polynomials and B&eacute;zier curves/surfaces are of fundamental importance for Computer Aided Geometric Design (CAGD). Recently, the rapid development of q-calculus has led to the discovery of new generalizations of Bernstein polynomials involving q-integers. In 1987, Romanian mathematician Alexandru Lupas introduced the first q-analogue of Bernstein polynomials. Regrettably, the operators proposed by Lupas remained unnoticed for a long while due to the very limited availability of his article published in regional conference proceedings. Today, this situation has changed and Lupas q-analogues become one of the most popular q-analogues of the Bernstein polynomials.

In this talk, the applications of Lupas q-analogue Bernstein operator in CAGD will be discussed. New generalizations of BernsteinB&eacute;zier curves and surfaces based on Lupas q-analogue Bernstein operator are introduced and their geometric characteristic and some applications are discussed. Moreover, Lupas q-analogue Bernstein operator are used to implement more stable barycentric rational interpolation.

报告人简介：韩力文，河北师范大学数学与信息科学学院，教授。1993年被保送至吉林大学数学系国家理科基地班学习，本硕博连读，2002年获理学博士学位。1999年至2003年，在吉林大学数学学院任教，2003年被引进至河北师范大学。200310月，荣获中国计算数学学会首次设立的中国计算数学学会优秀青年论文竞赛二等奖。主持完成国家体育总局科研项目和河北省自然科学基金各一项，发表论文30余篇。目前主要从事计算机辅助几何设计与计算几何的研究工作，曾先后应邀赴瑞士卢加诺大学、加拿大里贾纳大学和香港浸会大学合作研究。中国应用数学学会几何设计与计算专委会委员，《Journal of Computational and Applied Mathematics》、《Result in Mathematics》和《Journal of Applied  Mathematics and Computing》等杂志审稿人。大连理工大学数学科学学院

2017831

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