用小波系数估计图像边缘方向的相干增强扩散图像降噪算法

赵佰秋; 黄凤岗; 唐立群

doi:10.11834/jig.20071210

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专辑

用小波系数估计图像边缘方向的相干增强扩散图像降噪算法
An Image De-noising Algorithm Based on Coherence Enhancing Diffusion: Use Wavelet Coefficients to Estimate Image Edge
2007年12卷第12期页码：2096
纸质出版：2007
DOI： 10.11834/jig.20071210
稿件说明：

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赵佰秋, 黄凤岗, 唐立群. 用小波系数估计图像边缘方向的相干增强扩散图像降噪算法[J]. 中国图象图形学报, 2007,12(12):2096. DOI： 10.11834/jig.20071210.

An Image De-noising Algorithm Based on Coherence Enhancing Diffusion: Use Wavelet Coefficients to Estimate Image Edge[J]. Journal of Image and Graphics, 2007, 12(12): 2096. DOI： 10.11834/jig.20071210.

摘要

在分析相干增强扩散方法和小波阈值收缩方法之间关系的基础上

给出了相干增强扩散在小波分析意义下的解释

同时解释了相干增强扩散方法与小波阈值收缩方法在图像性质上的等价性。针对相干增强扩散计算扩散矩阵较慢的缺点

提出了一种用小波系数估计图像边缘方向的相干增强扩散图像降噪算法。仿真试验结果表明

该扩散算子可以很好地定位图像边缘

较好地运用了小波的时频分析功能。

Abstract

Firstly

this paper analyzed the relationship between coherence enhancing diffusion and wavelet shrinkage.Then

it interpreted that the interpretation of the coherence enhancing diffusion under wavelet analysis and the equivalency between coherence enhancing diffusion and wavelet shrinkage in image attribute.Finally

it gave an image de-noising algorithm of coherence enhancing diffusion

which used wavelet coefficients to estimate the image edge according to the wavelet's time-frequent analysis function.Experimental results showed that the presented diffusion factor can orient image edge accurately

and the presented algorithm can reduce the noise effectively.

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路面图像增强的多偏微分方程融合法