摘要
方向性小波理论为图像处理提供了一种新的稀疏表示方法,能够更有效地捕捉图像中的几何结构。本文从基的特征入手,比较了方向性小波与传统小波在逼近图像几何边缘时的不同之处;总结了近年来该领域内提出的几种主要理论,以Ridgelet变换为例说明了方向性小波理论的基本原理。实验演示了Contourlet变换和小波变换的非线性逼近性能和去噪效果。最后指出了该领域进一步研究的方向。
The directional wavelet theory provides a novel sparse representation method for image processing, and it can capture geometrical image structures more efficiently. Beginning with the characteristics of basis, the paper compares the differences between directional wavelets and traditional wavelets when approximating geometrical edges in an image. Several important theories of the field proposed in recent years are summarized, and the ridgelet transform is taken as an example to explain the basic principle of the directional wavelet theory. Numerical experiments demonstrate the nonlinear approximation performance and denoising effect of directional wavelets and traditional wavelets. Finally, the paper points out the further research directions.
出处
《计算机工程与科学》
CSCD
2007年第7期51-54,共4页
Computer Engineering & Science
