{"title":"三维不变量与二维不变量的关系","authors":"S. Maybank","doi":"10.1109/WVRS.1995.476852","DOIUrl":null,"url":null,"abstract":"Polynomial relations are established between the invariants of certain mixed sets of points and lines and the invariants of their projected images. The relations are obtained using the properties of a rational curve, in fact a twisted cubic, which is a covariant of the given set of points and lines.","PeriodicalId":447791,"journal":{"name":"Proceedings IEEE Workshop on Representation of Visual Scenes (In Conjunction with ICCV'95)","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"19","resultStr":"{\"title\":\"Relation between 3D invariants and 2D invariants\",\"authors\":\"S. Maybank\",\"doi\":\"10.1109/WVRS.1995.476852\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Polynomial relations are established between the invariants of certain mixed sets of points and lines and the invariants of their projected images. The relations are obtained using the properties of a rational curve, in fact a twisted cubic, which is a covariant of the given set of points and lines.\",\"PeriodicalId\":447791,\"journal\":{\"name\":\"Proceedings IEEE Workshop on Representation of Visual Scenes (In Conjunction with ICCV'95)\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"19\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings IEEE Workshop on Representation of Visual Scenes (In Conjunction with ICCV'95)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/WVRS.1995.476852\",\"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 IEEE Workshop on Representation of Visual Scenes (In Conjunction with ICCV'95)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/WVRS.1995.476852","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Polynomial relations are established between the invariants of certain mixed sets of points and lines and the invariants of their projected images. The relations are obtained using the properties of a rational curve, in fact a twisted cubic, which is a covariant of the given set of points and lines.