About: Joint Orientation of Epipoles

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Není k dispozici (cs) It is known that epipolar constraint can be augmented with orientation by formulating it in the oriented projective geometry. This oriented epipolar constraint requires knowing the orientations (signs of overall scales) of epipoles and fundamental matrix. The current belief is that these orientations cannot be obtained from the fundamental matrix only and that additional information is needed, typically, a single correct point correspondence. In contrary to this, we show that fundamental matrix alone encodes orientation of epipoles up to their common scale sign. We present two formulations of this fact. The algebraic formulation gives a closed formula to compute the second epipole from fundamental matrix and the first epipole. The geometric formulation is in terms of the conic formed by intersections of corresponding epipolar lines in the common image plane; we show that the epipoles always lie on different antipodal components of the spherical interpretation of this conic. Further, we It is known that epipolar constraint can be augmented with orientation by formulating it in the oriented projective geometry. This oriented epipolar constraint requires knowing the orientations (signs of overall scales) of epipoles and fundamental matrix. The current belief is that these orientations cannot be obtained from the fundamental matrix only and that additional information is needed, typically, a single correct point correspondence. In contrary to this, we show that fundamental matrix alone encodes orientation of epipoles up to their common scale sign. We present two formulations of this fact. The algebraic formulation gives a closed formula to compute the second epipole from fundamental matrix and the first epipole. The geometric formulation is in terms of the conic formed by intersections of corresponding epipolar lines in the common image plane; we show that the epipoles always lie on different antipodal components of the spherical interpretation of this conic. Further, we (en)
Title	Není k dispozici (cs) Joint Orientation of Epipoles Joint Orientation of Epipoles (en)
skos:prefLabel	Není k dispozici (cs) Joint Orientation of Epipoles Joint Orientation of Epipoles (en)
skos:notation	RIV/68407700:21230/03:03091289!RIV07-GA0-21230___
http://linked.open.../vavai/riv/strany	73 ; 82
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(GA102/01/0971), P(GA102/02/1539), P(GA102/03/0440), P(ME 412), Z(MSM 212300013)
http://linked.open...vai/riv/dodaniDat	2007
http://linked.open...aciTvurceVysledku	Pajdla, Tomáš Chum, Ondřej Werner, Tomáš
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta elektrotechnická
http://linked.open...dnocenehoVysledku	611687
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/03:03091289
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	epipolar geometry; orientation; steiner conic (en)
http://linked.open.../riv/klicoveSlovo	epipolar geometry orientation steiner conic
http://linked.open...ontrolniKodProRIV	[AD5A0CD4B245]
http://linked.open...v/mistoKonaniAkce	Norwich
http://linked.open...i/riv/mistoVydani	London
http://linked.open...i/riv/nazevZdroje	BMVC 2003: Proceedings of the 14th British Machine Vision Conference
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	3 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Omnidirectional Vision Recognition of faces (in unconstrained environments) from a single example image Recognizing human activities for automated video surveillance http://linked.opendata.cz/resource/domain/vavai/projekt/ME%20412
http://linked.open...UplatneniVysledku	2003
http://linked.open...iv/tvurceVysledku	Pajdla, Tomáš Chum, Ondřej Werner, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2003-09-09 (xsd:date)
http://linked.open...n/vavai/riv/zamer	http://linked.opendata.cz/resource/domain/vavai/zamer/MSM%20212300013
number of pages	10 (xsd:int)
http://purl.org/ne...btex#hasPublisher	British Machine Vision Association
https://schema.org/isbn	1-901725-23-5
http://localhost/t...ganizacniJednotka	21230

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