摘要
根据复变函数中的保角变换,研究了基于模拟电荷法的单连通区域的数值保角变换法.针对约束方程的求解问题采用双共轭梯度稳定法,求得模拟电荷,构造了近似保角变换函数.用数值实验说明了本文算法的有效性,并将该保角变换法应用于图像变换中,将图像通过保角变换并显示出变换后的图像.
According to the conformal mapping of complex function, we study the numerical conformal mapping of a single connected domain based on the charge simulation method. In order to solve the constraint equation, the bicgstab method is used to obtain the charge points, and the approximate conformal mapping function is constructed. Numerical results show that the proposed method is effective. In this paper, the method is applied to the image transformation and the transformed image is displayed through the conformal mapping.
作者
吴爽
吕毅斌
王樱子
万鹏
WU Shuang;LYU Yibin;WANGYingzi;WAN Peng(Faculty of Science,Kumning University of Science and Technology,Kumning 650500,China;Computer Center,Kumning Univmsity of Science and Technology,Kumning 650500,China)
出处
《河南科学》
2018年第10期1505-1510,共6页
Henan Science
基金
国家自然科学基金资助项目(11461037)
关键词
模拟电荷法
数值保角变换
双共轭梯度稳定法
正方形边界
图像变换
charge simulation method
numerical conformal mapping
bicgstab method
square boundary
imagetransformation
