{"title":"两个独立平移平面投影图像的仿射三维重建","authors":"Lior Wolf, A. Shashua","doi":"10.1109/ICCV.2001.937630","DOIUrl":null,"url":null,"abstract":"Consider two views of a multi-body scene consisting of k planar bodies moving in pure translation one relative to the other. We show that the fundamental matrices, one per body, live in a 3-dimensional subspace, which when represented as a step-3 extensor is the common transversal on the collection of extensors defined by the homograph matrices H/sub 1/,...,H/sub k/ of the moving planes. We show that as much as five bodies are necessary for recovering the common transversal from the homograph matrices, from which we show how to recover the fundamental matrices and the affine calibration between the two cameras.","PeriodicalId":429441,"journal":{"name":"Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Affine 3-D reconstruction from two projective images of independently translating planes\",\"authors\":\"Lior Wolf, A. Shashua\",\"doi\":\"10.1109/ICCV.2001.937630\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Consider two views of a multi-body scene consisting of k planar bodies moving in pure translation one relative to the other. We show that the fundamental matrices, one per body, live in a 3-dimensional subspace, which when represented as a step-3 extensor is the common transversal on the collection of extensors defined by the homograph matrices H/sub 1/,...,H/sub k/ of the moving planes. We show that as much as five bodies are necessary for recovering the common transversal from the homograph matrices, from which we show how to recover the fundamental matrices and the affine calibration between the two cameras.\",\"PeriodicalId\":429441,\"journal\":{\"name\":\"Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001\",\"volume\":\"51 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-07-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"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.2001.937630\",\"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.2001.937630","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Affine 3-D reconstruction from two projective images of independently translating planes
Consider two views of a multi-body scene consisting of k planar bodies moving in pure translation one relative to the other. We show that the fundamental matrices, one per body, live in a 3-dimensional subspace, which when represented as a step-3 extensor is the common transversal on the collection of extensors defined by the homograph matrices H/sub 1/,...,H/sub k/ of the moving planes. We show that as much as five bodies are necessary for recovering the common transversal from the homograph matrices, from which we show how to recover the fundamental matrices and the affine calibration between the two cameras.