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有限单元法是近几十年来解决结构力学问题的成功的工具之一.本文利用有限元法的基本思想,解决图象处理中的亮度插值问题.文中讨论了三角形单元和矩形单元及其插值函数(形函数)的构造方法,并对有限元解的收敛性及误差进行了分析,从而得出了亮度插值问题的最佳解答.
The finite element method is one of the successful tools to solve the structural mechanics problems in recent decades.This paper uses the basic idea of the finite element method to solve the problem of the luminance interpolation in the image processing.In this paper, the triangular and rectangular elements and their interpolation functions (Shape function). The convergence and error of the finite element solution are analyzed, and the best solution to the problem of brightness interpolation is obtained.