用Mumford-Shah型能量泛函求约束信号的变分逼近

2008 First Workshops on Image Processing Theory, Tools and Applications Pub Date : 2008-11-01 DOI:10.1109/IPTA.2008.4743739

J. Rakotondralambo, Gérard Michaille, R. Brouzet, William Puech

{"title":"用Mumford-Shah型能量泛函求约束信号的变分逼近","authors":"J. Rakotondralambo, Gérard Michaille, R. Brouzet, William Puech","doi":"10.1109/IPTA.2008.4743739","DOIUrl":null,"url":null,"abstract":"In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image segmentation.","PeriodicalId":384072,"journal":{"name":"2008 First Workshops on Image Processing Theory, Tools and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Variational approximation of a constraint signal by a Mumford-Shah type energy functional\",\"authors\":\"J. Rakotondralambo, Gérard Michaille, R. Brouzet, William Puech\",\"doi\":\"10.1109/IPTA.2008.4743739\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image segmentation.\",\"PeriodicalId\":384072,\"journal\":{\"name\":\"2008 First Workshops on Image Processing Theory, Tools and Applications\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 First Workshops on Image Processing Theory, Tools and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IPTA.2008.4743739\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 First Workshops on Image Processing Theory, Tools and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IPTA.2008.4743739","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 1

摘要

本文的主要目的是在给定向量场约束下，建立变分模型在图像分割中的存在性结果。在一维情况下，我们给出了一个离散版本以变分的方式收敛于连续模型。最后给出了该模型在图像分割中的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Variational approximation of a constraint signal by a Mumford-Shah type energy functional

In this paper, the main objective is to establish an existence result of a variational model in image segmentation constrained by a given vector field. In the one dimensional case, we give a discrete version converging in a variational way to the continuous model. We finally describe the numerical analysis of this model with application in image segmentation.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2008 First Workshops on Image Processing Theory, Tools and Applications

自引率

0.00%

发文量