About: Fast computation of Krawtchouk moments

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	The paper describes the calculation of the Krawtchouk Moments (KMs) from an image, which is a computationally demanding task. We present two original methods that use the outputs of cascaded digital filters in deriving KMs. The first approach uses the digital filter outputs to form geometric moments (GMs) and the KMs are obtained via GMs. The second method uses a direct relationship to obtain KMs from the digital filter outputs. This is possible thanks to the formulation of Krawtchouk polynomials in terms of binomial functions, which are equivalent to the digital filter outputs. In this study, the performance of the proposed techniques is compared with other existing methods of KMs calculation. The experimental study shows that the first and the second proposed techniques perform 57% and 87% faster than the recurrence method for a real image of a size 128 x 128 pixels,which performs a significant improvement. The paper describes the calculation of the Krawtchouk Moments (KMs) from an image, which is a computationally demanding task. We present two original methods that use the outputs of cascaded digital filters in deriving KMs. The first approach uses the digital filter outputs to form geometric moments (GMs) and the KMs are obtained via GMs. The second method uses a direct relationship to obtain KMs from the digital filter outputs. This is possible thanks to the formulation of Krawtchouk polynomials in terms of binomial functions, which are equivalent to the digital filter outputs. In this study, the performance of the proposed techniques is compared with other existing methods of KMs calculation. The experimental study shows that the first and the second proposed techniques perform 57% and 87% faster than the recurrence method for a real image of a size 128 x 128 pixels,which performs a significant improvement. (en)
Title	Fast computation of Krawtchouk moments Fast computation of Krawtchouk moments (en)
skos:prefLabel	Fast computation of Krawtchouk moments Fast computation of Krawtchouk moments (en)
skos:notation	RIV/67985556:_____/14:00432452!RIV15-GA0-67985556
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP103/11/1552)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Flusser, Jan
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	16495
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/14:00432452
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Krawtchouk polynomial; Krawtchouk moment; Geometric moment; Impulse response; Fast computation; Digital filter (en)
http://linked.open.../riv/klicoveSlovo	Impulse response Digital filter Fast computation Geometric moment Krawtchouk moment Krawtchouk polynomial
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[60EF56EE509B]
http://linked.open...i/riv/nazevZdroje	Information Sciences
http://linked.open...in/vavai/riv/obor	JD
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Moments and Moment Invariants in Image Analysis
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	288
http://linked.open...iv/tvurceVysledku	Flusser, Jan Honarvar Shakibaei Asli, B.
http://linked.open...ain/vavai/riv/wos	000343345500007
issn	0020-0255
number of pages	14 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ins.2014.07.046

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