Rotation of 2D orthogonal polynomials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F18%3A00483250" target="_blank" >RIV/67985556:_____/18:00483250 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.patrec.2017.12.013" target="_blank" >http://dx.doi.org/10.1016/j.patrec.2017.12.013</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.patrec.2017.12.013" target="_blank" >10.1016/j.patrec.2017.12.013</a>

Result language
angličtina
Original language name
Rotation of 2D orthogonal polynomials
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20206 - Computer hardware and architecture

Project
<a href="/en/project/GA15-16928S" target="_blank" >GA15-16928S: Invariants and adaptive representations of digital images</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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