{"title":"Division of a Region into Equal Areas Using Additively Weighted Power Diagrams","authors":"T. Ohyama","doi":"10.1109/ISVD.2007.20","DOIUrl":null,"url":null,"abstract":"In this paper, we apply an additively weighted power diagram to divide a region such that the area of influence of public facilities is equalized in order to achieve equality. The weights of the power diagram were changed using Newton's method in order to divide the region into equal areas and obtain its weights and partitions such that the areas are equal.","PeriodicalId":148710,"journal":{"name":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","volume":"93 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISVD.2007.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 8
Abstract
In this paper, we apply an additively weighted power diagram to divide a region such that the area of influence of public facilities is equalized in order to achieve equality. The weights of the power diagram were changed using Newton's method in order to divide the region into equal areas and obtain its weights and partitions such that the areas are equal.
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