图像处理的一种有限脊波自适应方法  

An Adaptive Method of the Finite Ridgelet Transform for Image Processing

作　　者：白键[1] 冯象初[1] 

机构地区：[1]西安电子科技大学理学院应用数学系,陕西西安710071

出　　处：《电子学报》2006年第6期1058-1061,共4页Acta Electronica Sinica

摘　　要：有限脊波变换方法是脊波变换的一种数字化实现方法,其核心是有限Radon变换的实现.本文针对有限Radon变换中每一斜率投影的排序问题,利用Besov空间光滑模理论,在时域构造了一种光滑性判别函数,以判别函数值最小的序作为最优序,从而给出了一种新的自适应排序算法.用该算法对图像进行压缩和去噪,得到了很好的效果.The finite ridgelet transform is one of the digital methods of ridgelet transform. The key is implementation of the finite Radon transform. The sequencing problem of each slope projection in finite Radon transform is studied on this paper. We use the theory of modulus of smoothness of Besov space and construct a smooth discriminant function in time domain. The optimal sequence has the smallest functional value, so a new adaptive sequencing algorithm is proposed. When applying it to the image compression and denoising, the good results are obtained.

关 键 词：RADON变换 脊波变换 BESOV空间 光滑模 

分 类 号：O172[理学—数学] TP393[理学—基础数学]