Steerability of Hermite Kernel

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00394387" target="_blank" >RIV/67985556:_____/13:00394387 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1142/S0218001413540062" target="_blank" >http://dx.doi.org/10.1142/S0218001413540062</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218001413540062" target="_blank" >10.1142/S0218001413540062</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Steerability of Hermite Kernel

Popis výsledku v původním jazyce

Steerability is a useful and important property of ?kernel functions. It enables certain complicated operations involving orientation manipulation on images to be executed with high efficiency. Thus, we focus our attention on the steerability of Hermitepolynomials and their versions modulated by the Gaussian function with different powers, defined as the Hermite kernel. Certain special cases of such kernel, Hermite polynomials, Hermite functions and Gaussian derivatives are discussed in detail. Correspondingly, these cases demonstrate that the Hermite kernel is a powerful and effective tool for image processing. Furthermore, the steerability of the Hermite kernel is proved with the help of a property of Hermite polynomials revealing the rule concerning the product of two Hermite polynomials after coordination rotation. Consequently, any order of the Hermite kernel inherits steerability. Moreover, a couple sets of an explicit interpolation function and basis function can be directly ob

Název v anglickém jazyce

Steerability of Hermite Kernel

Popis výsledku anglicky

Steerability is a useful and important property of ?kernel functions. It enables certain complicated operations involving orientation manipulation on images to be executed with high efficiency. Thus, we focus our attention on the steerability of Hermitepolynomials and their versions modulated by the Gaussian function with different powers, defined as the Hermite kernel. Certain special cases of such kernel, Hermite polynomials, Hermite functions and Gaussian derivatives are discussed in detail. Correspondingly, these cases demonstrate that the Hermite kernel is a powerful and effective tool for image processing. Furthermore, the steerability of the Hermite kernel is proved with the help of a property of Hermite polynomials revealing the rule concerning the product of two Hermite polynomials after coordination rotation. Consequently, any order of the Hermite kernel inherits steerability. Moreover, a couple sets of an explicit interpolation function and basis function can be directly ob

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

JD - Využití počítačů, robotika a její aplikace

OECD FORD obor

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Projekt

<a href="/cs/project/GAP103%2F11%2F1552" target="_blank" >GAP103/11/1552: Momenty a momentové invarianty v analýze obrazu</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2013

Kód důvěrnosti údajů

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

Název periodika

International Journal of Pattern Recognition and Artificial Intelligence

ISSN

0218-0014

e-ISSN

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Svazek periodika

27

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

SG - Singapurská republika

Počet stran výsledku

25

Strana od-do

1354006-1-1354006-25

Kód UT WoS článku

000322395100007

EID výsledku v databázi Scopus

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