Počet záznamů: 1
Rotation of 2D orthogonal polynomials
- 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