Sparsity Regularized Variational Model for Multiphase Image Segmentation

LI Ya-feng

doi:10.3969/j.issn.0372-2112.2013.07.014

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Sparsity Regularized Variational Model for Multiphase Image Segmentation

更新时间：2025-07-16

- Sparsity Regularized Variational Model for Multiphase Image Segmentation
- Acta Electronica Sinica Vol. 41, Issue 7, Pages: 1329-1336(2013)
- 作者机构：
  
  1. 宝鸡文理学院计算机科学系,陕西,宝鸡,721016
  2. 宝鸡文理学院计算机科学系,陕西,宝鸡,721016
- 作者简介：
- 基金信息：
  
  National Natural Science Foundation of China (No.60872138, No.61105011);Research Project of Education Department of Shaanxi Province (No.12JK0550)
- DOI：10.3969/j.issn.0372-2112.2013.07.014
  CLC： TP391
- Published：2013
- 稿件说明：
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LI Ya-feng. Sparsity Regularized Variational Model for Multiphase Image Segmentation[J]. Acta Electronica Sinica, 2013, 41(7): 1329-1336.
DOI：

LI Ya-feng. Sparsity Regularized Variational Model for Multiphase Image Segmentation[J]. Acta Electronica Sinica, 2013, 41(7): 1329-1336. DOI： 10.3969/j.issn.0372-2112.2013.07.014.

摘要

基于隶属度函数的稀疏正则化

本文提出一个新的多目标图像分割变分模型和相应求解算法.该模型和算法有以下主要优点:首先

稀疏正则可以更好地保持分割区域的边界

克服了全变差正则导致分割边界模糊的缺点.其次

利用多尺度几何分析工具可以更好地保持图像的几何形状.最后

提出算法简单、易实现、运行速度快.一系列实验结果验证了提出方法的可行性与有效性.

Abstract

Based on sparse regularization to the membership functions

this paper proposes a novel multiphase variational model and corresponding algorithm for image segmentation.The proposed model and algorithm has three main advantages.Firstly

the sparse regularizer performs better than total variation regularizer.It protects edges from oversmoothing which is a common drawback of the total variation regularizer.Secondly

the multi-scale geometric analysis tool well preserves geometric shape of the segmentation regions.Finally

the proposed algorithm is simple and has rapid running speed.A series of experimental results demonstrate the feasibility and effectiveness of the proposed method.

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Related Author

LI Ya-feng

FENG Xiang-chu

LI Zheng-wen

WANG Wei-wei

SHUI Peng-lang

LI Ya-feng

WANG Xiao-peng

Related Institution

Department of Computer Science, Baoji University of Arts and Science.

Department of Computer Science Baoji University of Arts and Science.Baoji Shaanxi China

Department of Applied Mathematics,Xidian University

Department of Applied MathematicsXidian UniversityXi'anShaanxi 721016China

Department of Computer ScienceBaoji University of Arts and ScienceBaojiShaanxi 721016China

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