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Closed-Form Solutions to Minimal Absolute Pose Problems with Known Vertical Direction

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F11%3A00175555" target="_blank" >RIV/68407700:21230/11:00175555 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Closed-Form Solutions to Minimal Absolute Pose Problems with Known Vertical Direction

  • Original language description

    In this paper we provide new simple closed-form solutions to two minimal absolute pose problems for the case of known vertical direction. In the first problem we estimate absolute pose of a calibrated camera from two 2D-3D correspondences and a given vertical direction. In the second problem we assume camera with unknown focal length and radial distortion and estimate its pose together with the focal length and the radial distortion from three 2D-3D correspondences and a given vertical direction. The vertical direction can be obtained either by direct physical measurement by, e.g., gyroscopes and inertial measurement units or from vanishing points constructed in images. Both our problems result in solving one polynomial equation of degree two in one variable and one, respectively two, systems of linear equations and can be efficiently solved in a closed-form. By evaluating our algorithms on synthetic and real data we demonstrate that both our solutions are fast, efficient and numerical

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    JD - Use of computers, robotics and its application

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/7E09062" target="_blank" >7E09062: Planetary Robotics Vision Ground Processing</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    ACCV 2010: Proceedings of the 10th Asian Conference on Computer Vision, Part II

  • ISBN

    978-3-642-19308-8

  • ISSN

    0302-9743

  • e-ISSN

  • Number of pages

    14

  • Pages from-to

    216-229

  • Publisher name

    Springer

  • Place of publication

    Heidelberg

  • Event location

    Queenstown

  • Event date

    Nov 8, 2010

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000295546500017