A Minimal Solution to Radial Distortion Autocalibration

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00187135" target="_blank" >RIV/68407700:21230/11:00187135 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1109/TPAMI.2011.86" target="_blank" >http://dx.doi.org/10.1109/TPAMI.2011.86</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1109/TPAMI.2011.86" target="_blank" >10.1109/TPAMI.2011.86</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A Minimal Solution to Radial Distortion Autocalibration

Popis výsledku v původním jazyce

Simultaneous estimation of radial distortion, epipolar geometry and relative camera pose can be formulated as a minimal problem and solved from a minimal number of image points. Finding the solution to this problem leads to solving a system of algebraicequations. In this paper we provide two different solutions to the problem of estimating radial distortion and epipolar geometry from eight point correspondences in two images. Unlike previous algorithms, which were able to solve the problem from nine correspondences only, we enforce the determinant of the fundamental matrix be zero. This leads to a system of eight quadratic and one cubic equations in nine variables. We first simplify this system by eliminating six of these variables and then solve thesystem by two alternative techniques. The first one is based on the Gröbner basis method and the second one on the polynomial eigenvalue computation. We demonstrate that our solutions are efficient, robust and practical by experiments.

Název v anglickém jazyce

A Minimal Solution to Radial Distortion Autocalibration

Popis výsledku anglicky

Simultaneous estimation of radial distortion, epipolar geometry and relative camera pose can be formulated as a minimal problem and solved from a minimal number of image points. Finding the solution to this problem leads to solving a system of algebraicequations. In this paper we provide two different solutions to the problem of estimating radial distortion and epipolar geometry from eight point correspondences in two images. Unlike previous algorithms, which were able to solve the problem from nine correspondences only, we enforce the determinant of the fundamental matrix be zero. This leads to a system of eight quadratic and one cubic equations in nine variables. We first simplify this system by eliminating six of these variables and then solve thesystem by two alternative techniques. The first one is based on the Gröbner basis method and the second one on the polynomial eigenvalue computation. We demonstrate that our solutions are efficient, robust and practical by experiments.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

<a href="/cs/project/7E10046" target="_blank" >7E10046: Planetary Robotics Vision Scout</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2011

Kód důvěrnosti údajů

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

Název periodika

IEEE Transactions on Pattern Analysis and Machine Intelligence

ISSN

0162-8828

e-ISSN

—

Svazek periodika

33

Číslo periodika v rámci svazku

12

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

13

Strana od-do

2410-2422

Kód UT WoS článku

000295980000008

EID výsledku v databázi Scopus

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