{"title":"构造立体几何:符号计算方法","authors":"L. Leff, D. Yun","doi":"10.1145/32439.32464","DOIUrl":null,"url":null,"abstract":"A method of parameterizing an object that is represented by constructive solid geometry (CSG) is provided. A method is developed for generating the constraint equations on the parameters which provides a sufficient condition so that the object remains geometrically similar as the parameters are varied. A canonical form for objects represented by CSG is developed. These are applied to the problem of geometric optimization which is part of Computer Aided Engineering.","PeriodicalId":314618,"journal":{"name":"Symposium on Symbolic and Algebraic Manipulation","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1986-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Constructive solid geometry: a symbolic computation approach\",\"authors\":\"L. Leff, D. Yun\",\"doi\":\"10.1145/32439.32464\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A method of parameterizing an object that is represented by constructive solid geometry (CSG) is provided. A method is developed for generating the constraint equations on the parameters which provides a sufficient condition so that the object remains geometrically similar as the parameters are varied. A canonical form for objects represented by CSG is developed. These are applied to the problem of geometric optimization which is part of Computer Aided Engineering.\",\"PeriodicalId\":314618,\"journal\":{\"name\":\"Symposium on Symbolic and Algebraic Manipulation\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1986-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Symposium on Symbolic and Algebraic Manipulation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/32439.32464\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Symposium on Symbolic and Algebraic Manipulation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/32439.32464","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Constructive solid geometry: a symbolic computation approach
A method of parameterizing an object that is represented by constructive solid geometry (CSG) is provided. A method is developed for generating the constraint equations on the parameters which provides a sufficient condition so that the object remains geometrically similar as the parameters are varied. A canonical form for objects represented by CSG is developed. These are applied to the problem of geometric optimization which is part of Computer Aided Engineering.
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