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：2017年9月7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 Bézier 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 Bernstein–Bézier 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。2003年10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。437ccm必赢国际首页欢迎您

2017年8月31日