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Article: Epipolar geometry from profiles under circular motion

TitleEpipolar geometry from profiles under circular motion
Authors
KeywordsApparent contours
Circular motion
Epipolar geometry
Profiles
Structure and motion
Issue Date2001
PublisherI E E E. The Journal's web site is located at http://www.computer.org/tpami
Citation
Ieee Transactions On Pattern Analysis And Machine Intelligence, 2001, v. 23 n. 6, p. 604-616 How to Cite?
AbstractThis paper addresses the problem of motion estimation from profiles (also known as apparent contours) of an object rotating on a turntable in front of a single camera. Its main contribution is the development of a practical and accurate technique for solving this problem from profiles alone, which is precise enough to allow for the reconstruction of the shape of the object. No correspondences between points or lines are necessary, although the method proposed can be used equally when these features are available without any further adaptation. Symmetry properties of the surface of revolution swept out by the rotating object are exploited to obtain the image of the rotation axis and the homography relating epipolar lines in two views in a robust and elegant way. These, together with geometric constraints for images of rotating objects, are then used to obtain first the image of the horizon, which is the projection of the plane that contains the camera centers, and then the epipoles, thus fully determining the epipolar geometry of the image sequence. The estimation of the epipolar geometry by this sequential approach (image of rotation axis-homography-image of the horizon-epipoles) avoids many of the problems usually found in other algorithms for motion recovery from profiles. In particular, the search for the epipoles, by far the most critical step, is carried out as a simple one-dimensional optimization problem. The initialization of the parameters is trivial and completely automatic for all stages of the algorithm. After the estimation of the epipolar geometry, the Euclidean motion is recovered using the fixed intrinsic parameters of the camera obtained either from a calibration grid or from self-calibration techniques. Finally, the spinning object is reconstructed from its profiles using the motion estimated in the previous stage. Results from real data are presented, demonstrating the efficiency and usefulness of the proposed methods.
Persistent Identifierhttp://hdl.handle.net/10722/43661
ISSN
2023 Impact Factor: 20.8
2023 SCImago Journal Rankings: 6.158
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorMendonça, PRSen_HK
dc.contributor.authorWong, KYKen_HK
dc.contributor.authorCipolla, Ren_HK
dc.date.accessioned2007-03-23T04:51:29Z-
dc.date.available2007-03-23T04:51:29Z-
dc.date.issued2001en_HK
dc.identifier.citationIeee Transactions On Pattern Analysis And Machine Intelligence, 2001, v. 23 n. 6, p. 604-616en_HK
dc.identifier.issn0162-8828en_HK
dc.identifier.urihttp://hdl.handle.net/10722/43661-
dc.description.abstractThis paper addresses the problem of motion estimation from profiles (also known as apparent contours) of an object rotating on a turntable in front of a single camera. Its main contribution is the development of a practical and accurate technique for solving this problem from profiles alone, which is precise enough to allow for the reconstruction of the shape of the object. No correspondences between points or lines are necessary, although the method proposed can be used equally when these features are available without any further adaptation. Symmetry properties of the surface of revolution swept out by the rotating object are exploited to obtain the image of the rotation axis and the homography relating epipolar lines in two views in a robust and elegant way. These, together with geometric constraints for images of rotating objects, are then used to obtain first the image of the horizon, which is the projection of the plane that contains the camera centers, and then the epipoles, thus fully determining the epipolar geometry of the image sequence. The estimation of the epipolar geometry by this sequential approach (image of rotation axis-homography-image of the horizon-epipoles) avoids many of the problems usually found in other algorithms for motion recovery from profiles. In particular, the search for the epipoles, by far the most critical step, is carried out as a simple one-dimensional optimization problem. The initialization of the parameters is trivial and completely automatic for all stages of the algorithm. After the estimation of the epipolar geometry, the Euclidean motion is recovered using the fixed intrinsic parameters of the camera obtained either from a calibration grid or from self-calibration techniques. Finally, the spinning object is reconstructed from its profiles using the motion estimated in the previous stage. Results from real data are presented, demonstrating the efficiency and usefulness of the proposed methods.en_HK
dc.format.extent1860616 bytes-
dc.format.extent25600 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherI E E E. The Journal's web site is located at http://www.computer.org/tpamien_HK
dc.relation.ispartofIEEE Transactions on Pattern Analysis and Machine Intelligenceen_HK
dc.rights©2001 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.-
dc.subjectApparent contoursen_HK
dc.subjectCircular motionen_HK
dc.subjectEpipolar geometryen_HK
dc.subjectProfilesen_HK
dc.subjectStructure and motionen_HK
dc.titleEpipolar geometry from profiles under circular motionen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0162-8828&volume=23&issue=6&spage=604&epage=616&date=2001&atitle=Epipolar+geometry+from+profiles+under+circular+motionen_HK
dc.identifier.emailWong, KYK:kykwong@cs.hku.hken_HK
dc.identifier.authorityWong, KYK=rp01393en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/34.927461en_HK
dc.identifier.scopuseid_2-s2.0-0035362278en_HK
dc.identifier.hkuros71225-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0035362278&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume23en_HK
dc.identifier.issue6en_HK
dc.identifier.spage604en_HK
dc.identifier.epage616en_HK
dc.identifier.isiWOS:000169037600005-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridMendonça, PRS=6701829174en_HK
dc.identifier.scopusauthoridWong, KYK=24402187900en_HK
dc.identifier.scopusauthoridCipolla, R=7006935878en_HK
dc.identifier.issnl0162-8828-

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