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Minimal Solvers for Rectifying from Radially-Distorted Scales and Change of Scales

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00338477" target="_blank" >RIV/68407700:21230/20:00338477 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21730/20:00338477

  • Result on the web

    <a href="https://doi.org/10.1007/s11263-019-01216-x" target="_blank" >https://doi.org/10.1007/s11263-019-01216-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11263-019-01216-x" target="_blank" >10.1007/s11263-019-01216-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Minimal Solvers for Rectifying from Radially-Distorted Scales and Change of Scales

  • Original language description

    This paper introduces the first minimal solvers that jointly estimate lens distortion and affine rectification from the image of rigidly-transformed coplanar features. The solvers work on scenes without straight lines and, in general, relax strong assumptions about scene content made by the state of the art. The proposed solvers use the affine invariant that coplanar repeats have the same scale in rectified space. The solvers are separated into two groups that differ by how the equal scale invariant of rectified space is used to place constraints on the lens undistortion and rectification parameters. We demonstrate a principled approach for generating stable minimal solvers by the Gröbner basis method, which is accomplished by sampling feasible monomial bases to maximize numerical stability. Synthetic and real-image experiments confirm that the proposed solvers demonstrate superior robustness to noise compared to the state of the art. Accurate rectifications on imagery taken with narrow to fisheye field-of-view lenses demonstrate the wide applicability of the proposed method. The method s fully automatic.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2020

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Journal of Computer Vision

  • ISSN

    0920-5691

  • e-ISSN

    1573-1405

  • Volume of the periodical

    128

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    19

  • Pages from-to

    950-968

  • UT code for WoS article

    000521783600001

  • EID of the result in the Scopus database

    2-s2.0-85082968851