Počet záznamů: 1  

Rotation of 2D orthogonal polynomials

  1. 1.
    0483250 - ÚTIA 2019 RIV NL eng J - Článek v odborném periodiku
    Yang, B. - Flusser, Jan - Kautský, J.
    Rotation of 2D orthogonal polynomials.
    Pattern Recognition Letters. Roč. 102, č. 1 (2018), s. 44-49. ISSN 0167-8655. E-ISSN 1872-7344
    Grant CEP: GA ČR GA15-16928S
    Institucionální podpora: RVO:67985556
    Klíčová slova: Rotation invariants * Orthogonal polynomials * Recurrent relation * Hermite-like polynomials * Hermite moments
    Obor OECD: Computer hardware and architecture
    Impakt faktor: 2.810, rok: 2018
    http://library.utia.cas.cz/separaty/2017/ZOI/flusser-0483250.pdf

    Orientation-independent object recognition mostly relies on rotation invariants. Invariants from moments orthogonal on a square have favorable numerical properties but they are difficult to construct. The paper presents sufficient and necessary conditions, that must be fulfilled by 2D separable orthogonal polynomi- als, for being transformed under rotation in the same way as are the monomials. If these conditions have been met, the rotation property propagates from polynomials to moments and allows a straightforward derivation of rotation invariants. We show that only orthogonal polynomials belonging to a specific class exhibit this property. We call them Hermite-like polynomials.
    Trvalý link: http://hdl.handle.net/11104/0278695

     
     
Počet záznamů: 1  

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