一种新的全相位Contourlet离散变换在图像去噪中的应用

侯正信; 任亮; 郭旭静

doi:10.11834/jig.20080505

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专辑

一种新的全相位Contourlet离散变换在图像去噪中的应用
The Application of a New All Phase Contourlet Discrete Transform on Image Denoising
2008年13卷第5期页码：870-875
纸质出版：2008
DOI： 10.11834/jig.20080505
稿件说明：

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侯正信, 任亮, 郭旭静. 一种新的全相位Contourlet离散变换在图像去噪中的应用[J]. 中国图象图形学报, 2008,13(5):870-875. DOI： 10.11834/jig.20080505.

The Application of a New All Phase Contourlet Discrete Transform on Image Denoising[J]. Journal of Image and Graphics, 2008, 13(5): 870-875. DOI： 10.11834/jig.20080505.

摘要

为了实现更为优秀的利用Contourlet来实现的图像去噪，以MATLAB为仿真工具，提出了一种新的全相位Contourlet离散变换，其多级分解和重构继承了已有的基于全相位DCT(APDCT)子带滤波和全相位IDCT(APIDCT)内插的全相位Contourlet，其方向滤波则是采用一种基于DCT的全相位方向滤波器组(APDFB)。APDFB具有良好的方向选择性，而且重构算法简单，只要将各个方向图像直接相加即可。实验结果表明，将新的全相位Contourlet离散变换应用在图像去噪中，与原Contourlet相比，在信噪比有所提高的同时，图像视觉效果也更好。

Abstract

This paper proposes a bran new discrete transform called AP Contourlet (All Phase Contourlet)

the multi scale decomposition and reconstruction of which are based on the APDCT (All Phase DCT) sub band filtering and the APIDCT (All Phase IDCT) interpolation for optimizing denoising effection of Contourlet. In addition

a kind of all phase directional filter bank (APDFB) based on DCT is used for directional filtering of the AP Contourlet. The APDFB is possessed of excellent directional selectivity

and reconstruction algorithm is so simple that only adding the directional images is needed. Experiments in image de noising have shown that the performance of the proposed AP Contourlet is obviously superior to the conventional Contourlet both in vision and in signal to noise ratio (SNR).