一类T-Bézier三角曲面渐渐迭代算法  

Progressive iterative algorithm for triangular T-Bézier surfaces

作　　者：陈素根[1] 

机构地区：[1]安庆师范学院数学与计算科学学院,安徽安庆246133

出　　处：《计算机工程与应用》2014年第19期152-155,共4页Computer Engineering and Applications

基　　金：安徽省高等学校省级自然科学研究项目(No.KJ2012B089;No.KJ2012B088);安庆师范学院青年科研基金(No.KJ201018;No.KJ201017)

摘　　要：渐进迭代逼近在散乱点数据的拟合及逆向工程中有重要应用,研究了一类T-Bézier三角曲面的渐进迭代算法;提出了T-Bézier三角曲面渐进迭代算法,并分析了算法的收敛性;基于2-范数给出了渐进迭代算法的逼近误差。最后,举例说明了该算法的有效性及应用。The progressive iterative algorithm has important application in fitting scatted data points and reverse engineering,this paper studies the progressive iterative algorithm for a kind of triangular T-Bézier surface. Firstly, the paper presents the progressive iterative algorithm for triangular T-Bézier surface, and then the convergence is analyzed. Secondly, the approximation error in L2-norm is calculated. Finally, some numerical examples are given to illustrate the effectiveness and its application of this algorithm.

关 键 词：计算机应用 渐进迭代 T-Bézier三角曲面 散乱点数据拟合 逼近 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]