Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (19): 152-155.
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CHEN Sugen
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陈素根
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
CHEN Sugen. Progressive iterative algorithm for triangular T-Bézier surfaces[J]. Computer Engineering and Applications, 2014, 50(19): 152-155.
陈素根. 一类T-Bézier三角曲面渐渐迭代算法[J]. 计算机工程与应用, 2014, 50(19): 152-155.
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http://cea.ceaj.org/EN/Y2014/V50/I19/152