插值与高阶微分方程联用的图像放大模型

Image enlargement model by combination of interpolation and the high order partial differential equations

基于P.Perona和J.Malik方程的图像放大的算法对于图像的放大具有一定的效果,但是这种算法有它的局限性。插值与高阶微分方程联用的图像放大模型是在高阶Yu-Li You和M.Kaveh方程图像处理模型的数值实现中嵌入插值实现算法,从而可以得到一个比较完整的图像放大模型的实现算法.实验结果表明,此模型用于图像放大能够达到较好的效果.放大的效果图像没有出现灰暗的现象,也没有出现块效应.而且在放大倍数逐渐增大时,效果也保持得比较好.同时对带噪声的图像进行放大,并没有将噪声放大,反而有去除噪声的效果.

The algorithm concerning the image enlargement based on the P.Perona and J.Malik equations has some effects on the image enlargement.However,such kind of algorithm has its limitations.Image enlargement model by combination of interpolation and the high order partial differential equations is to insert the interpolation algorithm into the value realization of the high-order Yu-Li You and M.Kaveh equations image processing model,thus to attain a complete algorithm about image enlargement.The experiment results show that this model,when used in image enlargement,can attain a rather satisfying result.There are no gray phenomena and no blocking artifacts in enlarging effect images.Moreover,the effects remain good even if the enlargement multiple increases gradually.The noise is not expanded as the image with noise is enlarged;instead,the noise is eliminated.