基于P.Perona和J.Malik方程的图像放大

Image enlargement based on the P.Perona and J.Malik's equations

偏微分方程在图像去噪、重建等图像处理领域中都已经有了较多较好的应用,基于一种全新的图像放大方法,即基于偏微分方程的图像放大法,该方法主要是利用热传导原理,建立热传导过程的数学模型,实现图像放大的目的.提出了一种基于P.Perona和J.M alik方程的图像放大的算法.数值离散采用直观的有限差分格式,实验在M atlab环境下进行.实验结果表明该法在放大过程中保持了图像的特征,也说明了该算法实现图像放大的有效性.

Partial Differential Equations have been applied affectively and widely in the realm of image processing such as noises removal and reconstruction. The fundamental approach of the paper is a totally new image enlargement method which is grounded on parital differential equation. In accordance with the heat conduction principle to great extent, it sets up the mathematical model, thus rearithm concerning the image enlargment based on the P. Perona and J. Malik＇s equations. Numerical discrete adopts the intuitive finite difference scheme and the experimient is carride on under the environment of Matlab. The experimental results show thar our algorithm preserves the features of the image and demonstrates the validity of the new method for realizing images enlargment.