About: Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A number of minimal problems of structure from motion for cameras with radial distortion have recently been studied and solved in some cases. These problems are known to be numerically very challenging and in several cases there exist no known practical algorithm yielding solutions in floating point arithmetic. We make some crucial observations concerning the floating point implementation of Gröbner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate on simulated and real experiments that these two problems can be efficiently solv A number of minimal problems of structure from motion for cameras with radial distortion have recently been studied and solved in some cases. These problems are known to be numerically very challenging and in several cases there exist no known practical algorithm yielding solutions in floating point arithmetic. We make some crucial observations concerning the floating point implementation of Gröbner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate on simulated and real experiments that these two problems can be efficiently solv (en) A number of minimal problems of structure from motion for cameras with radial distortion have recently been studied and solved in some cases. These problems are known to be numerically very challenging and in several cases there exist no known practical algorithm yielding solutions in floating point arithmetic. We make some crucial observations concerning the floating point implementation of Gröbner basis computations and use these new insights to formulate fast and stable algorithms for two minimal problems with radial distortion previously solved in exact rational arithmetic only: (i) simultaneous estimation of essential matrix and a common radial distortion parameter for two partially calibrated views and six image point correspondences and (ii) estimation of fundamental matrix and two different radial distortion parameters for two uncalibrated views and nine image point correspondences. We demonstrate on simulated and real experiments that these two problems can be efficiently solv (cs)
Title	Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion (en) Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion (cs)
skos:prefLabel	Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion (en) Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion (cs)
skos:notation	RIV/68407700:21230/08:03149972!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 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	367686
http://linked.open...ai/riv/idVysledku	RIV/68407700:21230/08:03149972
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Gröbner basis; minimal problems; radial distortion (en)
http://linked.open.../riv/klicoveSlovo	minimal problems radial distortion Gröbner basis
http://linked.open...ontrolniKodProRIV	[149CFFEAD171]
http://linked.open...v/mistoKonaniAkce	Anchorage, Alaska
http://linked.open...i/riv/mistoVydani	Medison
http://linked.open...i/riv/nazevZdroje	CVPR 2008: Proceedings of the 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	5 (xsd:int)
http://linked.open...UplatneniVysledku	2008
http://linked.open...iv/tvurceVysledku	Kúkelová, Zuzana Pajdla, Tomáš Byröd, M. Josephson, K. Äström, K.
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open...ain/vavai/riv/wos	000259736802039
http://linked.open.../riv/zahajeniAkce	2008-06-24 (xsd:date)
http://linked.open...n/vavai/riv/zamer	Decision Making and Control for Manufacturing III
issn	1063-6919
number of pages	8 (xsd:int)
http://purl.org/ne...btex#hasPublisher	Omnipress
https://schema.org/isbn	978-1-4244-2242-5
http://localhost/t...ganizacniJednotka	21230
is http://linked.open...avai/riv/vysledek of	Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion

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