{"title":"基于螺旋动态数据结构的动态凸包算法","authors":"Ali Sajedi Badashian, M. Razzazi","doi":"10.1109/ICCSA.2007.72","DOIUrl":null,"url":null,"abstract":"In this paper we present an effective kinetic data structure (KDS) and algorithm for efficient maintenance of convex hull of moving points in 2d space. Given n objects continuously moving in the plane we present an efficient algorithm for maintaining their convex hull. Our algorithm considers cases based on status of a constant number of points. We show that our algorithm's time and space complexity are at most linear. A simulation program developed for testing the algorithm confirms the claim.","PeriodicalId":386960,"journal":{"name":"2007 International Conference on Computational Science and its Applications (ICCSA 2007)","volume":"29 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Kinetic Convex Hull Algorithm Using Spiral Kinetic Data Structure\",\"authors\":\"Ali Sajedi Badashian, M. Razzazi\",\"doi\":\"10.1109/ICCSA.2007.72\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present an effective kinetic data structure (KDS) and algorithm for efficient maintenance of convex hull of moving points in 2d space. Given n objects continuously moving in the plane we present an efficient algorithm for maintaining their convex hull. Our algorithm considers cases based on status of a constant number of points. We show that our algorithm's time and space complexity are at most linear. A simulation program developed for testing the algorithm confirms the claim.\",\"PeriodicalId\":386960,\"journal\":{\"name\":\"2007 International Conference on Computational Science and its Applications (ICCSA 2007)\",\"volume\":\"29 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-08-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2007 International Conference on Computational Science and its Applications (ICCSA 2007)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCSA.2007.72\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 International Conference on Computational Science and its Applications (ICCSA 2007)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCSA.2007.72","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Kinetic Convex Hull Algorithm Using Spiral Kinetic Data Structure
In this paper we present an effective kinetic data structure (KDS) and algorithm for efficient maintenance of convex hull of moving points in 2d space. Given n objects continuously moving in the plane we present an efficient algorithm for maintaining their convex hull. Our algorithm considers cases based on status of a constant number of points. We show that our algorithm's time and space complexity are at most linear. A simulation program developed for testing the algorithm confirms the claim.