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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F10%3A00162858%21RIV11-MSM-21230___
rdf:type
skos:Concept n11:Vysledek
dcterms:description
A number of minimal problems of structure from motion for cameras with radial distortion have recently been solved. These problems are known to be numerically very challenging and in several cases there were no practical algorithms yielding solutions in FP. We make some crucial observations concerning the floating point implementation of Groebner 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 that these two problems can be efficiently solved in floating point arithmetic in simulated and real experiments. A number of minimal problems of structure from motion for cameras with radial distortion have recently been solved. These problems are known to be numerically very challenging and in several cases there were no practical algorithms yielding solutions in FP. We make some crucial observations concerning the floating point implementation of Groebner 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 that these two problems can be efficiently solved in floating point arithmetic in simulated and real experiments.
dcterms: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
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
skos:notation
RIV/68407700:21230/10:00162858!RIV11-MSM-21230___
n5:aktivita
n19:R n19:P n19:Z
n5:aktivity
P(7E09062), R, Z(MSM6840770038)
n5:cisloPeriodika
2
n5:dodaniDat
n9:2011
n5:domaciTvurceVysledku
n13:6245269 n13:6349390
n5:druhVysledku
n18:J
n5:duvernostUdaju
n8:S
n5:entitaPredkladatele
n12:predkladatel
n5:idSjednocenehoVysledku
258817
n5:idVysledku
RIV/68407700:21230/10:00162858
n5:jazykVysledku
n15:eng
n5:klicovaSlova
radial distortion calibration; minimal problems; Groebner basis
n5:klicoveSlovo
n6:minimal%20problems n6:Groebner%20basis n6:radial%20distortion%20calibration
n5:kodStatuVydavatele
US - Spojené státy americké
n5:kontrolniKodProRIV
[C9E17B3D17CE]
n5:nazevZdroje
Computer Vision and Image Understanding
n5:obor
n16:JD
n5:pocetDomacichTvurcuVysledku
2
n5:pocetTvurcuVysledku
5
n5:projekt
n17:7E09062
n5:rokUplatneniVysledku
n9:2010
n5:svazekPeriodika
114
n5:tvurceVysledku
Pajdla, Tomáš Josephson, K. Äström, K. Byröd, M. Kúkelová, Zuzana
n5:wos
000274337400007
n5:zamer
n10:MSM6840770038
s:issn
1077-3142
s:numberOfPages
11
n14:organizacniJednotka
21230