Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F08%3A03150844" target="_blank" >RIV/68407700:21230/08:03150844 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems

Original language description

In this paper we provide new fast and simple solutions to two important minimal problems in computer vision, the five-point relative pose problem and the six-point focal length problem. We show that these two problems can easily be formulated as polynomial eigenvalue problems of degree three and two and solved using standard efficient numerical algorithms. Our solutions are somewhat more stable than state-of-the-art solutions by Nister and Stewenius and are in some sense more straightforward and easierto implement since polynomial eigenvalue problems are well studied with many efficient and robust algorithms available. The quality of the solvers is demonstrated in experiments.

Czech name

Polynomial Eigenvalue Solutions to the 5-pt and 6-pt Relative Pose Problems

Czech description

In this paper we provide new fast and simple solutions to two important minimal problems in computer vision, the five-point relative pose problem and the six-point focal length problem. We show that these two problems can easily be formulated as polynomial eigenvalue problems of degree three and two and solved using standard efficient numerical algorithms. Our solutions are somewhat more stable than state-of-the-art solutions by Nister and Stewenius and are in some sense more straightforward and easierto implement since polynomial eigenvalue problems are well studied with many efficient and robust algorithms available. The quality of the solvers is demonstrated in experiments.

Type

D - Article in proceedings

CEP classification

JD - Use of computers, robotics and its application

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2008

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection

BMVC 2008: Proceedings of the 19th British Machine Vision Conference

ISBN

978-1-901725-36-0

ISSN

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e-ISSN

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Number of pages

10

Pages from-to

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Publisher name

British Machine Vision Association

Place of publication

London

Event location

Leeds

Event date

Sep 1, 2008

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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