基于偏微分的图像放大算法研究

在研究图片放大算法中,分析了现有的运用偏微分算法在图像法大中的不足,利用图像放大过程中的边缘信息可预知性,本文提出一种新的基于偏微分方程的图像放大算法,这种算法通过将图像边缘检测、平滑处理,然后采用三次样条插值算法对边缘进行相应倍数的放大,并通过对可能出现的锯齿边缘进行细化处理;将处理过的边缘作为放大图像的边缘,从而可以将源图像的边缘很好的保持下来,避免了偏微分方程放大过程中出现的边缘模糊现象。实验结果显示,该方法是一种能够很好的保存图像的边缘信息的图像放大算法。

Study of Image Enlarge Algorithm Based on Partial Differential Equation

In the course of the research on image zooming,we analyze the drawback of existing methods on image zooming.Taking advantage of the predictable of the edge information in the process of image zooming,this article proposed an image zooming algorithm based on partial differential equations.The algorithm first conduct edge detecting,image smoothing then properly zoomed the edge use three times spline interpolation algorithm.By dealing with the possible jagged edge and take the processed edge as the edge of zoomed image,the edge of source image can be well reserved and avoid the phenomenon of edge blur in the amplification process of partial differential equations.The experimental results show that the method is a good algorithm for keeping edge information of image magnification.