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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F12%3A43898299%21RIV13-MSM-23520___
rdf:type
skos:Concept n14:Vysledek
dcterms:description
Studying convolutions of hypersurfaces (especially of curves and surfaces) has become an active research area in recent years. The main characterization from the point of view of convolutions is their convolution degree, which is an affine invariant associated to a hypersurface describing the complexity of the shape with respect to the operation of convolution. We will focus on the two simplest classes of planar algebraic curves with respect to the operation of convolution, namely on the curves with the convolution degree one (so called LN curves) and two. We will present an algebraic analysis of these curves, provide their decomposition, and study their properties. Studying convolutions of hypersurfaces (especially of curves and surfaces) has become an active research area in recent years. The main characterization from the point of view of convolutions is their convolution degree, which is an affine invariant associated to a hypersurface describing the complexity of the shape with respect to the operation of convolution. We will focus on the two simplest classes of planar algebraic curves with respect to the operation of convolution, namely on the curves with the convolution degree one (so called LN curves) and two. We will present an algebraic analysis of these curves, provide their decomposition, and study their properties.
dcterms:title
Algebraic Curves of Low Convolution Degree Algebraic Curves of Low Convolution Degree
skos:prefLabel
Algebraic Curves of Low Convolution Degree Algebraic Curves of Low Convolution Degree
skos:notation
RIV/49777513:23520/12:43898299!RIV13-MSM-23520___
n14:predkladatel
n15:orjk%3A23520
n3:aktivita
n10:Z n10:S
n3:aktivity
S, Z(MSM4977751301)
n3:cisloPeriodika
6920
n3:dodaniDat
n17:2013
n3:domaciTvurceVysledku
n7:1043161 n7:5711223
n3:druhVysledku
n5:J
n3:duvernostUdaju
n8:S
n3:entitaPredkladatele
n6:predkladatel
n3:idSjednocenehoVysledku
121642
n3:idVysledku
RIV/49777513:23520/12:43898299
n3:jazykVysledku
n19:eng
n3:klicovaSlova
Algebraic curve, convolution, convolution degree. LN curves, QN curves
n3:klicoveSlovo
n13:convolution%20degree.%20LN%20curves n13:Algebraic%20curve n13:QN%20curves n13:convolution
n3:kodStatuVydavatele
DE - Spolková republika Německo
n3:kontrolniKodProRIV
[E878E718690B]
n3:nazevZdroje
Lecture Notes in Computer Science
n3:obor
n4:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:rokUplatneniVysledku
n17:2012
n3:svazekPeriodika
2012
n3:tvurceVysledku
Vršek, Jan Lávička, Miroslav
n3:zamer
n20:MSM4977751301
s:issn
0302-9743
s:numberOfPages
16
n18:doi
10.1007/978-3-642-27413-8_45
n11:organizacniJednotka
23520