3D aspects of 2D epipolar geometry

dc.contributor.author	Καλησπεράκης, Ηλίας	el
dc.contributor.author	Καρράς, Γιώργος	el
dc.contributor.author	Γραμματικόπουλος, Λάζαρος	el
dc.date.accessioned	2015-05-24T15:36:28Z
dc.date.available	2015-05-24T15:36:28Z
dc.date.issued	2015-05-24
dc.identifier.uri	http://hdl.handle.net/11400/11039
dc.rights	Αναφορά Δημιουργού-Μη Εμπορική Χρήση-Όχι Παράγωγα Έργα 3.0 Ηνωμένες Πολιτείες	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.source	www.isprs.org	en
dc.subject	Calibration
dc.subject	Epipolar geometry
dc.subject	Διαμέτρηση
dc.subject	Επιπολική γεωμετρία
dc.subject	Τρισδιάστατα μοντέλα
dc.title	3D aspects of 2D epipolar geometry	en
heal.type	journalArticle
heal.classification	Topography
heal.classification	Geometry
heal.classification	Τοπογραφία
heal.classification	Γεωμετρία
heal.classificationURI	http://skos.um.es/unescothes/C04078
heal.classificationURI	http://id.loc.gov/authorities/subjects/sh85054133
heal.classificationURI	N/A-Τοπογραφία
heal.classificationURI	N/A-Γεωμετρία
heal.language	en
heal.access	free
heal.publicationDate	2006
heal.bibliographicCitation	Kalisperakis, I., Karras, G. and Grammatikopoulos, L. (2006) 3D aspects of 2D epipolar geometry. "Photogrammetry, Remote Sensing & Spatial Information Sciences", 26 (3), p.255-259	en
heal.abstract	Relative orientation in a stereo pair (establishing 3D epipolar geometry) is generally described as a rigid body transformation, with one arbitrary translation component, between two formed bundles of rays. In the uncalibrated case, however, only the 2D projective pencils of epipolar lines can be established from simple image point homologies. These may be related to each other in infinite variations of perspective positions in space, each defining different camera geometries and relative orientation of image bundles. It is of interest in photogrammetry to also approach the 3D image configurations embedded in 2D epipolar geometry in a Euclidean (rather than a projective-algebraic) framework. This contribution attempts such an approach initially in 2D to propose a parameterization of epipolar geometry; when fixing some of the parameters, the remaining ones correspond to a ‘circular locus’ for the second epipole. Every point on this circle is related to a specific direction on the plane representing the intersection line of image planes. Each of these points defines, in turn, a circle as locus of the epipole in space (to accommodate all possible angles of intersection of the image planes). It is further seen that knowledge of the lines joining the epipoles with the respective principal points suffices for establishing the relative position of image planes and the direction of the base line in model space; knowledge of the actual position of the principal points allows full relative orientation and camera calibration of central perspective cameras. Issues of critical configuration are also addressed. Possible future tasks include study of different a priori knowledge as well as the case of the image triplet.	en
heal.journalName	Photogrammetry, Remote Sensing & Spatial Information Sciences	en
heal.journalType	peer-reviewed
heal.fullTextAvailability	true