{"title":"数字纹理中二阶统计量、连通性分析和渗透模型之间的关系","authors":"Arie Pikaz, Amir Averbuch","doi":"10.1006/gmip.1997.0462","DOIUrl":null,"url":null,"abstract":"<div><p>It can be shown that a wide family of digital textures corresponds to percolation models (Pikaz and Averbuch, 1996, Technical Report 315/96, Tel-Aviv University). Percolation models supply statistical results and theoretical background for connectivity analysis. This paper focuses on the relation between second-order statistics (which are very common in use for digital texture analysis) and connectivity analysis. The paper also presents additional evidences to the tight relation between digital textures and percolation models.</p></div>","PeriodicalId":100591,"journal":{"name":"Graphical Models and Image Processing","volume":"60 3","pages":"Pages 226-232"},"PeriodicalIF":0.0000,"publicationDate":"1998-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1006/gmip.1997.0462","citationCount":"2","resultStr":"{\"title\":\"On the Relation between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures\",\"authors\":\"Arie Pikaz, Amir Averbuch\",\"doi\":\"10.1006/gmip.1997.0462\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>It can be shown that a wide family of digital textures corresponds to percolation models (Pikaz and Averbuch, 1996, Technical Report 315/96, Tel-Aviv University). Percolation models supply statistical results and theoretical background for connectivity analysis. This paper focuses on the relation between second-order statistics (which are very common in use for digital texture analysis) and connectivity analysis. The paper also presents additional evidences to the tight relation between digital textures and percolation models.</p></div>\",\"PeriodicalId\":100591,\"journal\":{\"name\":\"Graphical Models and Image Processing\",\"volume\":\"60 3\",\"pages\":\"Pages 226-232\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1998-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1006/gmip.1997.0462\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Graphical Models and Image Processing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1077316997904627\",\"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/S1077316997904627","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Relation between Second-Order Statistics, Connectivity Analysis, and Percolation Models in Digital Textures
It can be shown that a wide family of digital textures corresponds to percolation models (Pikaz and Averbuch, 1996, Technical Report 315/96, Tel-Aviv University). Percolation models supply statistical results and theoretical background for connectivity analysis. This paper focuses on the relation between second-order statistics (which are very common in use for digital texture analysis) and connectivity analysis. The paper also presents additional evidences to the tight relation between digital textures and percolation models.
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