A Variational Model for Image Decomposition Based on Wavelet Method

LI Min; FENG Xiang-chu

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A Variational Model for Image Decomposition Based on Wavelet Method

更新时间：2025-07-16

- A Variational Model for Image Decomposition Based on Wavelet Method
- Acta Electronica Sinica Vol. 36, Issue 1, Pages: 184-187(2008)
- 作者机构：
  
  西安电子科技大学理学院,陕西,西安,710071
- 作者简介：
- 基金信息：
- DOI：
  CLC： TN911
- Published：2008
- 稿件说明：
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LI Min, FENG Xiang-chu. A Variational Model for Image Decomposition Based on Wavelet Method[J]. Acta Electronica Sinica, 2008, 36(1): 184-187.
DOI：

LI Min, FENG Xiang-chu. A Variational Model for Image Decomposition Based on Wavelet Method[J]. Acta Electronica Sinica, 2008, 36(1): 184-187. DOI：

摘要

本文从不同的角度考虑OSV模型

提出一种基于全变差和

-1

范数的图像分解变分模型.通过分析OSV模型的性质

给出该模型基于小波空间的非线性偏微分方程和迭代算法.同时

从理论上分析了该模型的极小值存在性.实验表明该方法具有可行性.

Abstract

A variational model for image decomposition based on total variation and

-1 norm is proposed

whose start is different from the OSV model.By the propertied of OSV model

the nonlinear partial differential equation and the associated iterative algorithm based on wavelet method are introduced.And the proof of the existence of minimizer for the variational model is given.Numerical results of image decomposition and denoising show that this model is feasible.

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