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  • 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. (en)
Title
  • Algebraic Curves of Low Convolution Degree
  • Algebraic Curves of Low Convolution Degree (en)
skos:prefLabel
  • Algebraic Curves of Low Convolution Degree
  • Algebraic Curves of Low Convolution Degree (en)
skos:notation
  • RIV/49777513:23520/12:43898299!RIV13-MSM-23520___
http://linked.open...avai/predkladatel
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  • S, Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 6920
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 121642
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  • RIV/49777513:23520/12:43898299
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  • Algebraic curve, convolution, convolution degree. LN curves, QN curves (en)
http://linked.open.../riv/klicoveSlovo
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  • DE - Spolková republika Německo
http://linked.open...ontrolniKodProRIV
  • [E878E718690B]
http://linked.open...i/riv/nazevZdroje
  • Lecture Notes in Computer Science
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
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  • 2012
http://linked.open...iv/tvurceVysledku
  • Lávička, Miroslav
  • Vršek, Jan
http://linked.open...n/vavai/riv/zamer
issn
  • 0302-9743
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-27413-8_45
http://localhost/t...ganizacniJednotka
  • 23520
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