About: Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present a method for solving systems of polynomial equations appearing in computer vision. This method is based on polynomial eigenvalue solvers and is more straightforward and easier to implement than the state-of-the-art Grobner basis method since eigenvalue problems are well studied, easy to understand, and efficient and robust algorithms for solving these problems are available. We provide a characterization of problems that can be efficiently solved as polynomial eigenvalue problems (PEPs) and present a resultant-based method for transforming a system of polynomial equations to a polynomial eigenvalue problem. We propose techniques that can be used to reduce the size of the computed polynomial eigenvalue problems. To show the applicability of the proposed polynomial eigenvalue method, we present the polynomial eigenvalue solutions to several important minimal relative pose problems. We present a method for solving systems of polynomial equations appearing in computer vision. This method is based on polynomial eigenvalue solvers and is more straightforward and easier to implement than the state-of-the-art Grobner basis method since eigenvalue problems are well studied, easy to understand, and efficient and robust algorithms for solving these problems are available. We provide a characterization of problems that can be efficiently solved as polynomial eigenvalue problems (PEPs) and present a resultant-based method for transforming a system of polynomial equations to a polynomial eigenvalue problem. We propose techniques that can be used to reduce the size of the computed polynomial eigenvalue problems. To show the applicability of the proposed polynomial eigenvalue method, we present the polynomial eigenvalue solutions to several important minimal relative pose problems. (en)
Title	Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision (en)
skos:prefLabel	Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision (en)
skos:notation	RIV/68407700:21230/12:00196130!RIV13-MSM-21230___
http://linked.open...avai/predkladatel	Fakulta elektrotechnická
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(7E10046), Z(MSM6840770038)
http://linked.open...iv/cisloPeriodika	7
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Pajdla, Tomáš Kúkelová, Zuzana
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
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	159587
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/12:00196130
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Structure from motion; relative camera pose; minimal problems; polynomial eigenvalue problems (en)
http://linked.open.../riv/klicoveSlovo	Structure from motion minimal problems relative camera pose polynomial eigenvalue problems
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[7212847817D2]
http://linked.open...i/riv/nazevZdroje	IEEE Transactions on Pattern Analysis and Machine Intelligence
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Planetary Robotics Vision Scout
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	34
http://linked.open...iv/tvurceVysledku	Kúkelová, Zuzana Pajdla, Tomáš Bujnak, M.
http://linked.open...ain/vavai/riv/wos	000304138300010
http://linked.open...n/vavai/riv/zamer	Decision Making and Control for Manufacturing III
issn	0162-8828
number of pages	13 (xsd:int)
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Polynomial Eigenvalue Solutions to Minimal Problems in Computer Vision

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