{"title":"第七章:多面体的向量表示","authors":"M. Rosenman, R. Stouffs","doi":"10.1109/GMAI.2008.17","DOIUrl":null,"url":null,"abstract":"This paper presents a vector representation for polyhedra. Unlike coordinate representations, vector representations do not require fixing the polyhedra in a coordinate space to derive various properties or carry out various processes. The paper shows how the representation of primitive polyhedra can be used in a cellular construction of complex polyhedra through the gluing of counteractive faces. Counteractive faces are faces which have equal but opposite vector loops.","PeriodicalId":393559,"journal":{"name":"2008 3rd International Conference on Geometric Modeling and Imaging","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Chapter 7: A Vector Representation for Polyhedra\",\"authors\":\"M. Rosenman, R. Stouffs\",\"doi\":\"10.1109/GMAI.2008.17\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a vector representation for polyhedra. Unlike coordinate representations, vector representations do not require fixing the polyhedra in a coordinate space to derive various properties or carry out various processes. The paper shows how the representation of primitive polyhedra can be used in a cellular construction of complex polyhedra through the gluing of counteractive faces. Counteractive faces are faces which have equal but opposite vector loops.\",\"PeriodicalId\":393559,\"journal\":{\"name\":\"2008 3rd International Conference on Geometric Modeling and Imaging\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-07-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2008 3rd International Conference on Geometric Modeling and Imaging\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/GMAI.2008.17\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 3rd International Conference on Geometric Modeling and Imaging","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GMAI.2008.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This paper presents a vector representation for polyhedra. Unlike coordinate representations, vector representations do not require fixing the polyhedra in a coordinate space to derive various properties or carry out various processes. The paper shows how the representation of primitive polyhedra can be used in a cellular construction of complex polyhedra through the gluing of counteractive faces. Counteractive faces are faces which have equal but opposite vector loops.
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