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Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F21%3APU142000" target="_blank" >RIV/00216305:26210/21:PU142000 - isvavai.cz</a>

  • Result on the web

    <a href="https://link.springer.com/chapter/10.1007/978-3-030-89029-2_48#aboutcontent" target="_blank" >https://link.springer.com/chapter/10.1007/978-3-030-89029-2_48#aboutcontent</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-030-89029-2_48" target="_blank" >10.1007/978-3-030-89029-2_48</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Algorithms for Multi-conditioned Conic Fitting in Geometric Algebra for Conics

  • Original language description

    We introduce implementations of several conic fitting algorithms in Geometric algebra for conics. Particularly, we incorporate additional conditions into the optimisation problem, such as centre point position at the origin of coordinate system, axial alignment with coordinate axes, or, eventually, combination of both. We provide mathematical formulation together with the implementation in MATLAB. Finally, we present examples on a sample dataset and offer possible use of the algorithms.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2021

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Advances in Computer Graphics

  • ISBN

    978-3-030-89028-5

  • ISSN

  • e-ISSN

  • Number of pages

    13

  • Pages from-to

    645-657

  • Publisher name

    Springer, Cham

  • Place of publication

    Switzerland

  • Event location

    Geneva

  • Event date

    Sep 6, 2021

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article