Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (19): 152-155.

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Progressive iterative algorithm for triangular T-Bézier surfaces

CHEN Sugen   

  1. School of Mathematics & Computational Science, Anqing Teachers College, Anqing, Anhui 246133, China
  • Online:2014-10-01 Published:2014-09-29

一类T-Bézier三角曲面渐渐迭代算法

陈素根   

  1. 安庆师范学院 数学与计算科学学院,安徽 安庆 246133

Abstract: 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.

Key words: computer application, progressive iterative, triangular T-Bézier surface, fitting scatted data points, approximation

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。

关键词: 计算机应用, 渐进迭代, T-Bé, zier三角曲面, 散乱点数据拟合, 逼近