{"title":"Euclidean Paths: A New Representation of Boundary of Discrete Regions","authors":"Jean-Pierre Braquelaire, Anne Vialard","doi":"10.1006/gmip.1999.0488","DOIUrl":null,"url":null,"abstract":"<div><p>The aim of this work is to provide a means to approximate the real boundary underlying the discrete boundary of a digitized 2D region. We require that the sampling of the reconstructed boundary be exactly the discrete one. To this end, we propose a new representation of the boundary of a discrete region that we call Euclidean paths. This paper fully describes the method used to build a Euclidean path and gives several examples of applications both for image analysis and image synthesis.</p></div>","PeriodicalId":100591,"journal":{"name":"Graphical Models and Image Processing","volume":"61 1","pages":"Pages 16-43"},"PeriodicalIF":0.0000,"publicationDate":"1999-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/gmip.1999.0488","citationCount":"35","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Graphical Models and Image Processing","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1077316999904884","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 35
Abstract
The aim of this work is to provide a means to approximate the real boundary underlying the discrete boundary of a digitized 2D region. We require that the sampling of the reconstructed boundary be exactly the discrete one. To this end, we propose a new representation of the boundary of a discrete region that we call Euclidean paths. This paper fully describes the method used to build a Euclidean path and gives several examples of applications both for image analysis and image synthesis.
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