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  • Hypo/epicycloids (shortly HE-cycloids) are well-known curves, in detail studied in classical geometry. Hence, one may wonder what new can be said about these traditional geometric objects. It has been proved recently, cf. [12], that all rational HE-cycloids are curves with rational offsets, i.e. they belong to the class of rational Pythagorean hodograph curves. In this paper, we present an algorithm for G1 Hermite interpolation with hypo/epicycloidal arcs which results from their support function representation.
  • Hypo/epicycloids (shortly HE-cycloids) are well-known curves, in detail studied in classical geometry. Hence, one may wonder what new can be said about these traditional geometric objects. It has been proved recently, cf. [12], that all rational HE-cycloids are curves with rational offsets, i.e. they belong to the class of rational Pythagorean hodograph curves. In this paper, we present an algorithm for G1 Hermite interpolation with hypo/epicycloidal arcs which results from their support function representation. (en)
Title
  • Hermite interpolation with HE-splines
  • Hermite interpolation with HE-splines (en)
skos:prefLabel
  • Hermite interpolation with HE-splines
  • Hermite interpolation with HE-splines (en)
skos:notation
  • RIV/49777513:23520/09:00501819!RIV10-MSM-23520___
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  • Z(MSM4977751301)
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  • 317027
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  • RIV/49777513:23520/09:00501819
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  • Hypocycloids; epicycloids; Pythagorean hodograph curves; rational offsets; support function; Hermite interpolation (en)
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  • [A9D8F0C72C7C]
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  • Proceedings of the 29th Conference on Geometry and Graphics
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  • Bastl, Bohumír
  • Lávička, Miroslav
  • Šír, Zbyněk
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  • Polyglot
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  • 80-86195-61-9
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  • 23520
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