Preconditioned progressive iterative approximation for triangular Bezier patches and its application
Preconditioned progressive iterative approximation for triangular Bezier patches and its application
复制标题
三角形Bezier面片的预处理渐进迭代逼近及其应用
DOI：
10.1016/j.cam.2019.112389
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发表时间：
2020
影响因子：
2.4
通讯作者：
Li Juncheng
中科院分区：
文献类型：
--
作者：
Liu Chengzhi;Han Xuli;Li Juncheng
本文提出了一种三角Bézier曲面片的预条件渐进迭代逼近方法。首先，对角补偿约简被用于设计预条件子。给出了预条件子的一些性质。讨论了预条件子LU分解迭代法的有效性。然后利用预条件渐进迭代逼近方法逼近有理三角Bézier曲面片。数值算例表明，与现有的渐进迭代逼近方法相比，该方法在收敛速度上有很大的提高。
In this paper, we propose a preconditioned progressive iterative approximation for triangular Bézier patches. Firstly, the diagonally compensated reduction is used in designing the preconditioner. Some properties of the preconditioner are shown. The validity of the presented iterative method by using LU factorization of the preconditioner is discussed. Then the preconditioned progressive iterative approximation is used to approximate rational triangular Bézier patches. The given numerical examples show that the proposed method achieves a great improvement on the convergence rate compared to the existing progressive iterative approximation.