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.
出处
《计算机工程与应用》
CSCD
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)
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
computer application
progressive iterative
triangular T-Bézier surface
fitting scatted data points
approximation
