一类T-Bézier三角曲面渐渐迭代算法

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.