Přejít k hlavnímu obsahu
top

Bibliografie

Journal Article

Rotation of 2D orthogonal polynomials

Yang B., Flusser Jan, Kautský J.

: Pattern Recognition Letters vol.102, 1 (2018), p. 44-49

: GA15-16928S, GA ČR

: Rotation invariants, Orthogonal polynomials, Recurrent relation, Hermite-like polynomials, Hermite moments

: 10.1016/j.patrec.2017.12.013

: http://library.utia.cas.cz/separaty/2017/ZOI/flusser-0483250.pdf

(eng): 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.

: JD

: 20206