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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

  • Czech description

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

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

  • 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