About: Invariants to symmetrical convolution with application to dihedral kernel symmetry

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An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We derive invariants to convolution with a symmetrical kernel in an arbitrary dimension. They are expressed in the Fourier domain as a ratio of the Fourier transform and of the symmetrical projection of the Fourier transform. In 2D and for dihedral symmetries particularly, we newly express the invariants as moment forms suitable for practical calculations. We clearly demonstrate on real photographs, that all the derived invariants are irreplaceable in pattern recognition. We further demonstrate their invariance and discriminability. We expect there is potential to use these invariants also in other fields, including microscopy. We derive invariants to convolution with a symmetrical kernel in an arbitrary dimension. They are expressed in the Fourier domain as a ratio of the Fourier transform and of the symmetrical projection of the Fourier transform. In 2D and for dihedral symmetries particularly, we newly express the invariants as moment forms suitable for practical calculations. We clearly demonstrate on real photographs, that all the derived invariants are irreplaceable in pattern recognition. We further demonstrate their invariance and discriminability. We expect there is potential to use these invariants also in other fields, including microscopy. (en)
Title	Invariants to symmetrical convolution with application to dihedral kernel symmetry Invariants to symmetrical convolution with application to dihedral kernel symmetry (en)
skos:prefLabel	Invariants to symmetrical convolution with application to dihedral kernel symmetry Invariants to symmetrical convolution with application to dihedral kernel symmetry (en)
skos:notation	RIV/67985556:_____/13:00397178!RIV14-GA0-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GAP103/11/1552)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Boldyš, Jiří Flusser, Jan
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
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	81028
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/13:00397178
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	moment invariants; dihedral symmetry; symmetrical blur (en)
http://linked.open.../riv/klicoveSlovo	dihedral symmetry moment invariants symmetrical blur
http://linked.open...ontrolniKodProRIV	[C4923C3A029A]
http://linked.open...v/mistoKonaniAkce	Neapol
http://linked.open...i/riv/mistoVydani	Berlin
http://linked.open...i/riv/nazevZdroje	Image Analysis and Processing – ICIAP 2013
http://linked.open...in/vavai/riv/obor	BD
http://linked.open...ichTvurcuVysledku	2 (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	2013
http://linked.open...iv/tvurceVysledku	Boldyš, Jiří Flusser, Jan
http://linked.open...vavai/riv/typAkce	EUR - Evropská
http://linked.open.../riv/zahajeniAkce	2013-09-11 (xsd:date)
number of pages	10 (xsd:int)
http://bibframe.org/vocab/doi	10.1007/978-3-642-41184-7_38
http://purl.org/ne...btex#hasPublisher	Springer-Verlag
https://schema.org/isbn	978-3-642-41183-0

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