A Minimal Solution to Radial Distortion Autocalibration
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
A Minimal Solution to Radial Distortion Autocalibration
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JD - Use of computers, robotics and its application
OECD FORD branch
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Result continuities
Project
<a href="/en/project/7E10046" target="_blank" >7E10046: Planetary Robotics Vision Scout</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
IEEE Transactions on Pattern Analysis and Machine Intelligence
ISSN
0162-8828
e-ISSN
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Volume of the periodical
33
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
13
Pages from-to
2410-2422
UT code for WoS article
000295980000008
EID of the result in the Scopus database
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