{"title":"在投影矩阵P/sup k//spl rarr/P/sup 2/上，k=3，…以及它们在计算机视觉中的应用","authors":"L. Wolf, A. Shashua","doi":"10.1109/ICCV.2001.937547","DOIUrl":null,"url":null,"abstract":"Projection matrices from projective spaces P/sup 3/ to P/sup 2/ have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings P/sup k//spl rarr/P/sup 2/, k=4,5,6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new projection matrices and methods for extracting the (non-rigid) structure and motion for each application.","PeriodicalId":429441,"journal":{"name":"Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"15","resultStr":"{\"title\":\"On projection matrices P/sup k//spl rarr/P/sup 2/, k=3,...,6, and their applications in computer vision\",\"authors\":\"L. Wolf, A. Shashua\",\"doi\":\"10.1109/ICCV.2001.937547\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Projection matrices from projective spaces P/sup 3/ to P/sup 2/ have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings P/sup k//spl rarr/P/sup 2/, k=4,5,6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new projection matrices and methods for extracting the (non-rigid) structure and motion for each application.\",\"PeriodicalId\":429441,\"journal\":{\"name\":\"Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"15\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICCV.2001.937547\",\"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 Eighth IEEE International Conference on Computer Vision. ICCV 2001","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICCV.2001.937547","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On projection matrices P/sup k//spl rarr/P/sup 2/, k=3,...,6, and their applications in computer vision
Projection matrices from projective spaces P/sup 3/ to P/sup 2/ have long been used in multiple-view geometry to model the perspective projection created by the pin-hole camera. In this work we introduce higher-dimensional mappings P/sup k//spl rarr/P/sup 2/, k=4,5,6 for the representation of various applications in which the world we view is no longer rigid. We also describe the multi-view constraints from these new projection matrices and methods for extracting the (non-rigid) structure and motion for each application.
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