{"title":"欧几里得路径:离散区域边界的一种新表示","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":"{\"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}","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}
Euclidean Paths: A New Representation of Boundary of Discrete Regions
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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