Abstract
In this paper,we present a class of novel Bernstein-like basis functions,which is an extension of classical Bernstein basis functions.The properties of this group of bases are analyzed and the Bézier-like curve with two shape parameters h1,h2 is defined.The basis functions and Bézier-like curves have properties similar to cubic Bernstein basis functions and cubic Bézier curves,respectively.Furthermore,we construct Bézier-like curves with energy constraints and consider the C1 and G1 Hermite interpolation with minimal energy.Finally,some representative examples show the applicability and effectiveness of the proposed method.
基金项目
National Natural Science Foundation of China(11801225)
University Science Research Project of Jiangsu Province(18KJB110005)
NETL
NSTL
万方数据