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Description
  • Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the implicit support function representation for this purpose which can in certain cases considerably simplify this task. We describe possible strategies and demonstrate them on a simple example. We also exploit the implicit support function for a features-preserving approximation of the graph topologically equivalent to the curve. This contribution is meant as a first step towards an algorithm combining classical approaches with the dual description via the support function.
  • Describing the topology of real algebraic curves is a classical problem in computational algebraic geometry. It is usually based on algebraic techniques applied directly to the curve equation. We use the implicit support function representation for this purpose which can in certain cases considerably simplify this task. We describe possible strategies and demonstrate them on a simple example. We also exploit the implicit support function for a features-preserving approximation of the graph topologically equivalent to the curve. This contribution is meant as a first step towards an algorithm combining classical approaches with the dual description via the support function. (en)
Title
  • Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves
  • Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves (en)
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  • Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves
  • Exploiting the Implicit Support Function for a Topologically Accurate Approximation of Algebraic Curves (en)
skos:notation
  • RIV/00216208:11320/14:10289164!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, S
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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  • 16087
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/14:10289164
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  • Algebraic Curves; Implicit Support Function (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [DED47DFD2DA5]
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  • Oslo
http://linked.open...i/riv/mistoVydani
  • Berlin Heidelberg
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  • Mathematical Methods for Curves and Surfaces
http://linked.open...in/vavai/riv/obor
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http://linked.open...UplatneniVysledku
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  • Blažková, Eva
  • Šír, Zbyněk
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number of pages
http://bibframe.org/vocab/doi
  • 10.1007/978-3-642-54382-1_4
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  • Springer-Verlag
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  • 978-3-642-54381-4
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  • 11320
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