基于特征驱动的双向耦合扩散 方程的图像去噪和边缘锐化

付树军; 阮秋琦; 王文洽

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基于特征驱动的双向耦合扩散方程的图像去噪和边缘锐化

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- 基于特征驱动的双向耦合扩散方程的图像去噪和边缘锐化
- Feature-oriented coupled bidirectional flow equation for image denoising and edge sharpening
- 光学精密工程 2006年14卷第2期页码：315-319
- 作者机构：
  
  1. 山东大学数学与系统科学学院,山东济南,250100
  2. 北京交通大学信息科学研究所北京,100044
- 作者简介：
- 基金信息：
- DOI：
  中图分类号： TP391.41
- 收稿日期：2005-11-12，
  
  修回日期：2006-01-18，
  
  网络出版日期：2006-04-30，
  
  纸质出版日期：2006-04-30
- 稿件说明：
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付树军, 阮秋琦, 王文洽. 基于特征驱动的双向耦合扩散方程的图像去噪和边缘锐化[J]. 光学精密工程, 2006,14(2):315-319.

FU Shu-jun, RUAN Qiu-qi, WANG Wen-qia. Feature-oriented coupled bidirectional flow equation for image denoising and edge sharpening[J]. Optics and precision engineering, 2006, 14(2): 315-319.
付树军, 阮秋琦, 王文洽. 基于特征驱动的双向耦合扩散方程的图像去噪和边缘锐化[J]. 光学精密工程, 2006,14(2):315-319. DOI：

FU Shu-jun, RUAN Qiu-qi, WANG Wen-qia. Feature-oriented coupled bidirectional flow equation for image denoising and edge sharpening[J]. Optics and precision engineering, 2006, 14(2): 315-319. DOI：

摘要

提出了一个新的能够同时去除图像噪声和锐化边缘的扩散方程模型。根据图像特征

例如边缘

纹理和局部细节

这个特征驱动的双向耦合扩散模型沿着等照度线(边缘)的梯度方向从前向扩散转变为后向(逆)扩散; 而相反地沿切线方向实施前向扩散。为了消除前向力和后向力之间的冲突

将扩散方程分裂为一种耦合的形式; 同时为了保持图像特征

利用图像的方向导数局部地调整非线性扩散系数。实验结果显示

本文算法能够在去除图像噪声的同时

有力地增强图像的特征。

Abstract

A new type of diffusion process simultaneously denoising and sharpening images was considered. According to the image features such as edges

textures

and fine parts

the feature-oriented coupled bidirectional flow process could switch from a forward diffusion to a backward (inverse) one along the normal directions to the isophote lines (edges)

while a forward diffusion was performed along the tangent directions. To eliminate the conflict between the backward and the forward force

the diffusion process was splitted into a coupled scheme. In order to enhance image features

the nonlinear diffusion coefficients were locally adjusted according to the directional derivatives of the image. Experimental results demonstrate that the algorithm can substantially enhance features on denoising smoother areas of the image.

关键词

Keywords

references

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