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Conference Paper: 1D camera geometry and Its application to circular motion estimation
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Title1D camera geometry and Its application to circular motion estimation
 
AuthorsZhang, G
Zhang, H
Wong, KKY
 
Issue Date2006
 
CitationThe 17th British Machine Vision Conference (BMVC), Edinburgh, U.K., 4-7 September 2006. In Proceedings of the British Machine Vision Conference, 2006, v. 1, p. 67-76 [How to Cite?]
 
AbstractThis paper describes a new and robust method for estimating circular motion geometry from an uncalibrated image sequence. Under circular motion, all the camera centers lie on a circle, and the mapping of the plane containing this circle to the horizon line in the image can be modelled as a 1D projection. A 2×2 homography is introduced in this paper to relate the projections of the camera centers in two 1D views. It is shown that the two imaged circular points and the rotation angle between the two views can be derived directly from the eigenvectors and eigenvalues of such a homography respectively. The proposed 1D geometry can be nicely applied to circular motion estimation using either point correspondences or silhouettes. The method introduced here is intrinsically a multiple view approach as all the sequence geometry embedded in the epipoles is exploited in the computation of the homography for a view pair. This results in a robust method which gives accurate estimated rotation angles and imaged circular points. Experimental results are presented to demonstrate the simplicity and applicability of the new method.
 
DC FieldValue
dc.contributor.authorZhang, G
 
dc.contributor.authorZhang, H
 
dc.contributor.authorWong, KKY
 
dc.date.accessioned2011-08-24T02:14:11Z
 
dc.date.available2011-08-24T02:14:11Z
 
dc.date.issued2006
 
dc.description.abstractThis paper describes a new and robust method for estimating circular motion geometry from an uncalibrated image sequence. Under circular motion, all the camera centers lie on a circle, and the mapping of the plane containing this circle to the horizon line in the image can be modelled as a 1D projection. A 2×2 homography is introduced in this paper to relate the projections of the camera centers in two 1D views. It is shown that the two imaged circular points and the rotation angle between the two views can be derived directly from the eigenvectors and eigenvalues of such a homography respectively. The proposed 1D geometry can be nicely applied to circular motion estimation using either point correspondences or silhouettes. The method introduced here is intrinsically a multiple view approach as all the sequence geometry embedded in the epipoles is exploited in the computation of the homography for a view pair. This results in a robust method which gives accurate estimated rotation angles and imaged circular points. Experimental results are presented to demonstrate the simplicity and applicability of the new method.
 
dc.description.naturepostprint
 
dc.description.otherThe 17th British Machine Vision Conference (BMVC), Edinburgh, U.K., 4-7 September 2006. In Proceedings of the British Machine Vision Conference, 2006, v. 1, p. 67-76
 
dc.identifier.citationThe 17th British Machine Vision Conference (BMVC), Edinburgh, U.K., 4-7 September 2006. In Proceedings of the British Machine Vision Conference, 2006, v. 1, p. 67-76 [How to Cite?]
 
dc.identifier.epage76
 
dc.identifier.hkuros132383
 
dc.identifier.spage67
 
dc.identifier.urihttp://hdl.handle.net/10722/137143
 
dc.identifier.volume1
 
dc.languageeng
 
dc.relation.ispartofProceedings of the British Machine Vision Conference
 
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License
 
dc.title1D camera geometry and Its application to circular motion estimation
 
dc.typeConference_Paper
 
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<description.abstract>This paper describes a new and robust method for estimating circular motion geometry from an uncalibrated image sequence. Under circular motion, all the camera centers lie on a circle, and the mapping of the plane containing this circle to the horizon line in the image can be modelled as a 1D projection. A 2&#215;2 homography is introduced in this paper to relate the projections of the camera centers in two 1D views. It is shown that the two imaged circular points and the rotation angle between the two views can be derived directly from the eigenvectors and eigenvalues of such a homography respectively. The proposed 1D geometry can be nicely applied to circular motion estimation using either point correspondences or silhouettes. The method introduced here is intrinsically a multiple view approach as all the sequence geometry embedded in the epipoles is exploited in the computation of the homography for a view pair. This results in a robust method which gives accurate estimated rotation angles and imaged circular points. Experimental results are presented to demonstrate the simplicity and applicability of the new method.</description.abstract>
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