{"title":"几何约束系统的数值冗余性","authors":"Yan-Tao Li, Shimin Hu, Jiaguang Sun","doi":"10.1109/PCCGA.2001.962864","DOIUrl":null,"url":null,"abstract":"Determining redundant constraints is a critical task for geometric constraint solvers, since it dramatically affects the solution speed, accuracy, and stability. The paper attempts to determine the numerical redundancies of three-dimensional geometric constraint systems via a disturbance method. The constraints are translated into some unified forms and added to a constraint system incrementally. The redundancy of a constraint can then be decided by disturbing its value. We also prove that graph reduction methods can be used to accelerate the determination process.","PeriodicalId":387699,"journal":{"name":"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2001-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"On the numerical redundancies of geometric constraint systems\",\"authors\":\"Yan-Tao Li, Shimin Hu, Jiaguang Sun\",\"doi\":\"10.1109/PCCGA.2001.962864\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Determining redundant constraints is a critical task for geometric constraint solvers, since it dramatically affects the solution speed, accuracy, and stability. The paper attempts to determine the numerical redundancies of three-dimensional geometric constraint systems via a disturbance method. The constraints are translated into some unified forms and added to a constraint system incrementally. The redundancy of a constraint can then be decided by disturbing its value. We also prove that graph reduction methods can be used to accelerate the determination process.\",\"PeriodicalId\":387699,\"journal\":{\"name\":\"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/PCCGA.2001.962864\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/PCCGA.2001.962864","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the numerical redundancies of geometric constraint systems
Determining redundant constraints is a critical task for geometric constraint solvers, since it dramatically affects the solution speed, accuracy, and stability. The paper attempts to determine the numerical redundancies of three-dimensional geometric constraint systems via a disturbance method. The constraints are translated into some unified forms and added to a constraint system incrementally. The redundancy of a constraint can then be decided by disturbing its value. We also prove that graph reduction methods can be used to accelerate the determination process.