Image Decomposition by Curvelet Transform

BAI Jian; FENG Xiang-chu

您当前的位置：

首页 >

文章列表页 >

Image Decomposition by Curvelet Transform

更新时间：2025-07-16

- Image Decomposition by Curvelet Transform
- Acta Electronica Sinica Vol. 35, Issue 1, Pages: 123-126(2007)
- 作者机构：
  
  西安电子科技大学理学院应用数学系,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911.73
- Published：2007
- 稿件说明：
移动端阅览
BAI Jian, FENG Xiang-chu. Image Decomposition by Curvelet Transform[J]. Acta Electronica Sinica, 2007, 35(1): 123-126.
DOI：

BAI Jian, FENG Xiang-chu. Image Decomposition by Curvelet Transform[J]. Acta Electronica Sinica, 2007, 35(1): 123-126. DOI：

摘要

将图像分解为卡通部分(有界变差部分)和震荡部分(文本部分)是近年来图像处理的一个重要问题.图像的卡通部分是由一个有界变差(BV)函数来刻画

相应的将BV罚项合并到变分泛函中需要解偏微分方程.Daubechies用

)

项代替BV罚项并且用小波解变分问题.按照她的方法

我们通过设计一种数字曲线波算法和一种依赖于尺度的阈值规则

从而得到了一种有效的基于数字曲线波变换的图像分解算法.我们可以看出该算法对噪声具有很强的鲁棒性并且能使图像边缘保持稳定.

Abstract

Recent years

decomposing an image into cartoon component (bounded variation component) and oscillating component (texture component) is an important problem in the field of image processing.The cartoon component of an image is modeled by a bounded variation (BV) function;the corresponding incorporation of BV penalty terms in the variational functional leads to solve PDE equations.Daubechies replaced the BV penalty term by a Besov term and wrote the problem in a wavelet framework.Following her ideas

we propose a new image decomposition algorithm based on the digital curvelet transform.By designing a digital curvelet transform algorithm and a scale-dependent thresholding rule

elegant and numerically efficient schemes are obtained.We can see that this approach is very robust to additive noise and can keep the image edges stable.

关键词

Keywords

references

Views

1074

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Wavelet Based Variational Model to Remove Multiplicative Noise

A Variational Model for Image Decomposition Based on Wavelet Method

A Sparsity Regularized Multiregion Image Segmentation Method Based on Image Decomposition

Sparsity Regularized Variational Model for Multiphase Image Segmentation

Image Restoration and Decomposition Based on Curvelet Domain

Related Author

LI Ya-feng

FENG Xiang-chu

LI Min

FENG Xiang-chu

LI Ya-feng

JIANG Ling-ling

YIN Hai-qing

Related Institution

Department of Applied Mathematics,Xidian University

Department of Computer Science, Baoji University of Arts and Science

Department of Applied MathematicsXidian UniversityXi'anShaanxi 721016China

Department of Computer ScienceBaoji University of Arts and ScienceBaojiShaanxi 721016China

School of Science,Xidian University

⁰