About: Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	In this paper we provide new fast and simple solutions to two important minimal problems in computer vision, the five-point relative pose problem and the six-point focal length problem. We show that these two problems can easily be formulated as polynomial eigenvalue problems of degree three and two and solved using standard efficient numerical algorithms. Our solutions are somewhat more stable than state-of-the-art solutions by Nister and Stewenius and are in some sense more straightforward and easier to implement since polynomial eigenvalue problems are well studied with many efficient and robust algorithms available. The quality of the solvers is demonstrated in experiments. In this paper we provide new fast and simple solutions to two important minimal problems in computer vision, the five-point relative pose problem and the six-point focal length problem. We show that these two problems can easily be formulated as polynomial eigenvalue problems of degree three and two and solved using standard efficient numerical algorithms. Our solutions are somewhat more stable than state-of-the-art solutions by Nister and Stewenius and are in some sense more straightforward and easier to implement since polynomial eigenvalue problems are well studied with many efficient and robust algorithms available. The quality of the solvers is demonstrated in experiments. (en) In this paper we provide new fast and simple solutions to two important minimal problems in computer vision, the five-point relative pose problem and the six-point focal length problem. We show that these two problems can easily be formulated as polynomial eigenvalue problems of degree three and two and solved using standard efficient numerical algorithms. Our solutions are somewhat more stable than state-of-the-art solutions by Nister and Stewenius and are in some sense more straightforward and easier to implement since polynomial eigenvalue problems are well studied with many efficient and robust algorithms available. The quality of the solvers is demonstrated in experiments. (cs)
Title	Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems (en) Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems (cs)
skos:prefLabel	Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems (en) Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems (cs)
skos:notation	RIV/68407700:21230/08:03150844!RIV09-MSM-21230___
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(MSM6840770038)
http://linked.open...vai/riv/dodaniDat	2009
http://linked.open...aciTvurceVysledku	Kúkelová, Zuzana Bujňák, Martin Pajdla, 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	387447
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/08:03150844
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	5pt problem; 6pt problem; minimal problems; polynomial eigenvalue problem; relative pose (en)
http://linked.open.../riv/klicoveSlovo	minimal problems 5pt problem 6pt problem polynomial eigenvalue problem relative pose
http://linked.open...ontrolniKodProRIV	[7B4E43600D2B]
http://linked.open...v/mistoKonaniAkce	Leeds
http://linked.open...i/riv/mistoVydani	London
http://linked.open...i/riv/nazevZdroje	BMVC 2008: Proceedings of the 19th 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...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Bujňák, Martin Kúkelová, Zuzana Pajdla, Tomáš
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2008-09-01 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Decision Making and Control for Manufacturing III
number of pages	10 (xsd:int)
http://purl.org/ne...btex#hasPublisher	British Machine Vision Association
https://schema.org/isbn	978-1-901725-36-0
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems

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