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Statements

Subject Item
n2:RIV%2F68407700%3A21230%2F07%3A03135394%21RIV08-MSM-21230___
rdf:type
skos:Concept n16:Vysledek
dcterms:description
Many vision tasks require efficient solvers of systems of polynomial equations. Epipolar geometry and relative camera pose computation are tasks which can be formulated as minimal problems which lead to solving systems of algebraic equations. Often, these systems are not trivial and therefore special algorithms have to be designed to achieve numerical robustness and computational efficiency. In this work we suggest improvements of current techniques for solving systems of polynomial equations suitable for some vision problems. We introduce two tricks. The first trick helps to reduce the number of variables and degrees of the equations. The second trick can be used to replace computationally complex construction of Gröbner basis by a simpler procedure. We demonstrate benefits of our technique by providing a solution to the problem of estimating radial distortion and epipolar geometry from eight correspondences in two images. Unlike previous algorithms, which were able to solve the probl Many vision tasks require efficient solvers of systems of polynomial equations. Epipolar geometry and relative camera pose computation are tasks which can be formulated as minimal problems which lead to solving systems of algebraic equations. Often, these systems are not trivial and therefore special algorithms have to be designed to achieve numerical robustness and computational efficiency. In this work we suggest improvements of current techniques for solving systems of polynomial equations suitable for some vision problems. We introduce two tricks. The first trick helps to reduce the number of variables and degrees of the equations. The second trick can be used to replace computationally complex construction of Gröbner basis by a simpler procedure. We demonstrate benefits of our technique by providing a solution to the problem of estimating radial distortion and epipolar geometry from eight correspondences in two images. Unlike previous algorithms, which were able to solve the probl Many vision tasks require efficient solvers of systems of polynomial equations. Epipolar geometry and relative camera pose computation are tasks which can be formulated as minimal problems which lead to solving systems of algebraic equations. Often, these systems are not trivial and therefore special algorithms have to be designed to achieve numerical robustness and computational efficiency. In this work we suggest improvements of current techniques for solving systems of polynomial equations suitable for some vision problems. We introduce two tricks. The first trick helps to reduce the number of variables and degrees of the equations. The second trick can be used to replace computationally complex construction of Gröbner basis by a simpler procedure. We demonstrate benefits of our technique by providing a solution to the problem of estimating radial distortion and epipolar geometry from eight correspondences in two images. Unlike previous algorithms, which were able to solve the probl
dcterms:title
Solving polynomial equations for minimal problems in computer vision Solving polynomial equations for minimal problems in computer vision Solving polynomial equations for minimal problems in computer vision
skos:prefLabel
Solving polynomial equations for minimal problems in computer vision Solving polynomial equations for minimal problems in computer vision Solving polynomial equations for minimal problems in computer vision
skos:notation
RIV/68407700:21230/07:03135394!RIV08-MSM-21230___
n3:strany
12;19
n3:aktivita
n17:Z
n3:aktivity
Z(MSM6840770038)
n3:dodaniDat
n9:2008
n3:domaciTvurceVysledku
n7:6245269 n7:6349390
n3:druhVysledku
n11:D
n3:duvernostUdaju
n21:S
n3:entitaPredkladatele
n14:predkladatel
n3:idSjednocenehoVysledku
450986
n3:idVysledku
RIV/68407700:21230/07:03135394
n3:jazykVysledku
n10:eng
n3:klicovaSlova
Gröbner basis; minimal problems; radial distortion
n3:klicoveSlovo
n5:radial%20distortion n5:Gr%C3%B6bner%20basis n5:minimal%20problems
n3:kontrolniKodProRIV
[4E31F2D11211]
n3:mistoKonaniAkce
St. Lambrecht
n3:mistoVydani
Graz
n3:nazevZdroje
CVWW 2007: Proceedings of the 12th Computer Vision Winter Workshop
n3:obor
n19:JD
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n9:2007
n3:tvurceVysledku
Pajdla, Tomáš Kúkelová, Zuzana
n3:typAkce
n15:WRD
n3:zahajeniAkce
2007-02-06+01:00
n3:zamer
n13:MSM6840770038
s:numberOfPages
8
n20:hasPublisher
Verlag der Technischen Universität Graz
n12:isbn
978-3-902465-60-3
n18:organizacniJednotka
21230