Paper Info
Title
Preconditioned progressive iterative approximation for triangular Bézier patches and its application.
Abstract
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.
Year
DOI
Venue
2020
10.1016/j.cam.2019.112389
Journal of Computational and Applied Mathematics
Keywords
Field
DocType
Diagonally compensated reduction,Progressive iterative approximation,Triangular Bézier patch,Gauss Legendre quadrature
Diagonal,Applied mathematics,Iterative approximation,Preconditioner,Mathematical analysis,Iterative method,Bézier curve,Rate of convergence,LU decomposition,Mathematics
Journal
Volume
ISSN
Citations 
366
0377-0427
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Chengzhi Liu100.68
Xuli Han215922.91
Juncheng Li321.39