About: A Minimal Solution to Radial Distortion Autocalibration

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	Simultaneous estimation of radial distortion, epipolar geometry and relative camera pose can be formulated as a minimal problem and solved from a minimal number of image points. Finding the solution to this problem leads to solving a system of algebraic equations. In this paper we provide two different solutions to the problem of estimating radial distortion and epipolar geometry from eight point correspondences in two images. Unlike previous algorithms, which were able to solve the problem from nine correspondences only, we enforce the determinant of the fundamental matrix be zero. This leads to a system of eight quadratic and one cubic equations in nine variables. We first simplify this system by eliminating six of these variables and then solve the system by two alternative techniques. The first one is based on the Gröbner basis method and the second one on the polynomial eigenvalue computation. We demonstrate that our solutions are efficient, robust and practical by experiments. Simultaneous estimation of radial distortion, epipolar geometry and relative camera pose can be formulated as a minimal problem and solved from a minimal number of image points. Finding the solution to this problem leads to solving a system of algebraic equations. In this paper we provide two different solutions to the problem of estimating radial distortion and epipolar geometry from eight point correspondences in two images. Unlike previous algorithms, which were able to solve the problem from nine correspondences only, we enforce the determinant of the fundamental matrix be zero. This leads to a system of eight quadratic and one cubic equations in nine variables. We first simplify this system by eliminating six of these variables and then solve the system by two alternative techniques. The first one is based on the Gröbner basis method and the second one on the polynomial eigenvalue computation. We demonstrate that our solutions are efficient, robust and practical by experiments. (en)
Title	A Minimal Solution to Radial Distortion Autocalibration A Minimal Solution to Radial Distortion Autocalibration (en)
skos:prefLabel	A Minimal Solution to Radial Distortion Autocalibration A Minimal Solution to Radial Distortion Autocalibration (en)
skos:notation	RIV/68407700:21230/11:00187135!RIV12-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	12
http://linked.open...vai/riv/dodaniDat	2012
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	183896
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/11:00187135
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	minimal problems; radial distortion; Gröbner bases; polynomial eigenvalue problems (en)
http://linked.open.../riv/klicoveSlovo	minimal problems Gröbner bases polynomial eigenvalue problems radial distortion
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[94F7960AB080]
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	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Planetary Robotics Vision Scout
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	33
http://linked.open...iv/tvurceVysledku	Kúkelová, Zuzana Pajdla, Tomáš
http://linked.open...ain/vavai/riv/wos	000295980000008
http://linked.open...n/vavai/riv/zamer	Decision Making and Control for Manufacturing III
issn	0162-8828
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1109/TPAMI.2011.86
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	A Minimal Solution to Radial Distortion Autocalibration A Minimal Solution to Radial Distortion Autocalibration

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