基于一类偏微分方程的图像放大法

在分析常见的图像插值放大方法和已有的偏微分方程图像放大方法不足之处的基础上，根据图像放大特点，利用图像放大过程中边缘的可预知性，并注意到图像放大的偏微分方程理论模型，提出一类新的基于偏微分方程的图像放大方法，这是一类线性、具有定向扩散性质的偏微分方程模型，它在非边缘区域表现为线性各向同性扩散，在边缘上则演变成几乎是沿边缘方向的一维扩散．实验及统计结果表明，该方法是一种快速且有效的图像放大方法．

Image zooming based on a type of partial differential equations

In this paper,we analyze the deficiency in usual interpolation and the known partial differential equations methods for image zooming.Based on the feature of image zooming,the predictable of the edge for zoomed image and referred to the theoretical model of partial differential equations in image zooming,we propose a new type of partial differential equations model for image zooming.The equation is a type of oriented diffusion linear partial differential equations.The model yields an isotropioc linear diffu...