Steerability of Hermite Kernel

Result code in 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>

Result on the web

<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>

Result language

angličtina

Original language name

Steerability of Hermite Kernel

Original language description

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

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

JD - Use of computers, robotics and its application

OECD FORD branch

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Project

<a href="/en/project/GAP103%2F11%2F1552" target="_blank" >GAP103/11/1552: Moments and Moment Invariants in Image Analysis</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2013

Confidentiality

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

Name of the periodical

International Journal of Pattern Recognition and Artificial Intelligence

ISSN

0218-0014

e-ISSN

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Volume of the periodical

27

Issue of the periodical within the volume

4

Country of publishing house

SG - SINGAPORE

Number of pages

25

Pages from-to

1354006-1-1354006-25

UT code for WoS article

000322395100007

EID of the result in the Scopus database

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