基于脊波变换的图像压缩算法An Image Compression Algorithm Based on Ridgelet Transformation
张选德,宋国乡
摘要(Abstract)：
自然图像包括大量的具有明显“直线边缘”的图像,而且边缘表示了图像的主要信息。利用脊波对“直线奇异”的良好刻画,针对具有直线特征的图像,设计基于脊波变换的有损压缩算法。首先对图像进行脊波变换,然后对变换系数进行标量量化、扫描、游程编码和熵编码。仿真实验表明,与基于小波变换的JPEG 2000压缩算法相比,该算法能获得更高的压缩率,同时保持较高的信噪比。
关键词(KeyWords)： 脊波变换;图像压缩;稀疏逼近;直线奇异
基金项目(Foundation):
作者(Author): 张选德,宋国乡
参考文献(References)：
- [1]Vetterli M,Kovacevic J.Wavelets and Subband Coding.Prentice Hall,1995.
- [2]Candès E J,Donoho D L.Ridgelets:a Key to Higher Di-mensional Intermittency.Phil.Trans.R.Soc.Lond.A.,1999,357:2 495 2 509.
- [3]Anestiès Antoniadis,University Joseph Fourier MultiscaleGeometric Analysis Thoughts and Applications(aSummary)Technical Report,February,2005.
- [4]Candès E J.Ridgelets:Theory and Applications[D].USA:Department of Statistics,Stanford University,1998.
- [5]Candès E J.Harmonic Analysis of Neural Networks.Appl.Comput.Harmon.Anal.,1999,(6):197 218.
- [6]Donoho D L.Orthonormal Ridgelets and Linear Singulari-ties.Technical Report,Statistics,Stanford,SIAM J.Math.Anal.1998.
- [7]Donoho D,Ana Georgina Flesia.Digital Ridgelet transformBased on True Ridge Function.Jan.2002.
- [8]Averbuch A,Coifman R R,Donoho D L,et al.Fast SlantStank:A notion of Radon Transform for Data in a CartesianGrid which is Rapidly Computible,Algebraically Exact,Geo-metrically Faithful and Invertible to Appear:SIAM J.Sci.Comp.
- [9]http://www-stat.stanford.edu/~beamlab/