{"title":"连续骨架的高效计算","authors":"D. Kirkpatrick","doi":"10.1109/SFCS.1979.15","DOIUrl":null,"url":null,"abstract":"An O(n lgn) algorithm is presented for the construction of skeletons of arbitrary n-line polygonal figures. This algorithm is based on an O(n lgn) algorithm for the construction of generalized Voronoi diagrams (our generalization replaces point sets by sets of line segments constrained to intersect only at end points). The generalized Voronoi diagram algorithm employs a linear time algorithm for the merging of two arbitrary (standard) Voronoi diagrams.","PeriodicalId":311166,"journal":{"name":"20th Annual Symposium on Foundations of Computer Science (sfcs 1979)","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1979-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"282","resultStr":"{\"title\":\"Efficient computation of continuous skeletons\",\"authors\":\"D. Kirkpatrick\",\"doi\":\"10.1109/SFCS.1979.15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An O(n lgn) algorithm is presented for the construction of skeletons of arbitrary n-line polygonal figures. This algorithm is based on an O(n lgn) algorithm for the construction of generalized Voronoi diagrams (our generalization replaces point sets by sets of line segments constrained to intersect only at end points). The generalized Voronoi diagram algorithm employs a linear time algorithm for the merging of two arbitrary (standard) Voronoi diagrams.\",\"PeriodicalId\":311166,\"journal\":{\"name\":\"20th Annual Symposium on Foundations of Computer Science (sfcs 1979)\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1979-10-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"282\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"20th Annual Symposium on Foundations of Computer Science (sfcs 1979)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFCS.1979.15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"20th Annual Symposium on Foundations of Computer Science (sfcs 1979)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1979.15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An O(n lgn) algorithm is presented for the construction of skeletons of arbitrary n-line polygonal figures. This algorithm is based on an O(n lgn) algorithm for the construction of generalized Voronoi diagrams (our generalization replaces point sets by sets of line segments constrained to intersect only at end points). The generalized Voronoi diagram algorithm employs a linear time algorithm for the merging of two arbitrary (standard) Voronoi diagrams.