{"title":"平面Voronoi马赛克的细胞面积分布","authors":"H. Hermann , H. Wendrock , D. Stoyan","doi":"10.1016/0026-0800(89)90030-X","DOIUrl":null,"url":null,"abstract":"<div><p>Poisson, hard-core, and cluster point fields are used to generate numerically planar Voronoi (Dirichlet) mosaics. Type and parameter values of the point fields are closely related to the parameters of the corresponding mosaic cell-area distribution. These relationships are described quantitatively by two-dimensional parameter diagrams. The properties of a given empirical mosaic can be clearly explained by estimating a parameter set of its cell-area distribution and placing it in the corresponding parameter diagram.</p></div>","PeriodicalId":100918,"journal":{"name":"Metallography","volume":"23 3","pages":"Pages 189-200"},"PeriodicalIF":0.0000,"publicationDate":"1989-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0026-0800(89)90030-X","citationCount":"32","resultStr":"{\"title\":\"Cell-area distributions of planar Voronoi mosaics\",\"authors\":\"H. Hermann , H. Wendrock , D. Stoyan\",\"doi\":\"10.1016/0026-0800(89)90030-X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Poisson, hard-core, and cluster point fields are used to generate numerically planar Voronoi (Dirichlet) mosaics. Type and parameter values of the point fields are closely related to the parameters of the corresponding mosaic cell-area distribution. These relationships are described quantitatively by two-dimensional parameter diagrams. The properties of a given empirical mosaic can be clearly explained by estimating a parameter set of its cell-area distribution and placing it in the corresponding parameter diagram.</p></div>\",\"PeriodicalId\":100918,\"journal\":{\"name\":\"Metallography\",\"volume\":\"23 3\",\"pages\":\"Pages 189-200\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1989-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0026-0800(89)90030-X\",\"citationCount\":\"32\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Metallography\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/002608008990030X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Metallography","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/002608008990030X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Poisson, hard-core, and cluster point fields are used to generate numerically planar Voronoi (Dirichlet) mosaics. Type and parameter values of the point fields are closely related to the parameters of the corresponding mosaic cell-area distribution. These relationships are described quantitatively by two-dimensional parameter diagrams. The properties of a given empirical mosaic can be clearly explained by estimating a parameter set of its cell-area distribution and placing it in the corresponding parameter diagram.
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