演讲人：韩力文 教授,  河北师范大学数学学院

地点：知新楼 B1032

时间：2018年5月11日下午15:30-16:30

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

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 operators are used to implement more stable barycentric rational interpolation.

邀请人：胡锡俊