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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F08%3A03149972%21RIV09-MSM-21230___
rdf:type
skos:Concept n21:Vysledek
dcterms: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 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
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 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 Fast and Robust Numerical Solutions to Minimal Problems for Cameras with Radial Distortion
skos:notation
RIV/68407700:21230/08:03149972!RIV09-MSM-21230___
n4:aktivita
n7:Z
n4:aktivity
Z(MSM6840770038)
n4:dodaniDat
n18:2009
n4:domaciTvurceVysledku
n8:6245269 n8:6349390
n4:druhVysledku
n16:D
n4:duvernostUdaju
n12:S
n4:entitaPredkladatele
n15:predkladatel
n4:idSjednocenehoVysledku
367686
n4:idVysledku
RIV/68407700:21230/08:03149972
n4:jazykVysledku
n17:eng
n4:klicovaSlova
Gröbner basis; minimal problems; radial distortion
n4:klicoveSlovo
n11:radial%20distortion n11:minimal%20problems n11:Gr%C3%B6bner%20basis
n4:kontrolniKodProRIV
[149CFFEAD171]
n4:mistoKonaniAkce
Anchorage, Alaska
n4:mistoVydani
Medison
n4:nazevZdroje
CVPR 2008: Proceedings of the 2008 IEEE Computer Society Conference on Computer Vision and Pattern Recognition
n4:obor
n5:JD
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
5
n4:rokUplatneniVysledku
n18:2008
n4:tvurceVysledku
Pajdla, Tomáš Kúkelová, Zuzana Äström, K. Josephson, K. Byröd, M.
n4:typAkce
n14:WRD
n4:wos
000259736802039
n4:zahajeniAkce
2008-06-24+02:00
n4:zamer
n20:MSM6840770038
s:issn
1063-6919
s:numberOfPages
8
n10:hasPublisher
Omnipress
n19:isbn
978-1-4244-2242-5
n9:organizacniJednotka
21230