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Hermite interpolation with HE-splines

Result description

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.

Keywords

HypocycloidsepicycloidsPythagorean hodograph curvesrational offsetssupport functionHermite interpolation

The result's identifiers

Alternative languages

  • Result language

    angličtina

  • Original language name

    Hermite interpolation with HE-splines

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2009

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the 29th Conference on Geometry and Graphics

  • ISBN

    80-86195-61-9

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

  • Publisher name

    Polyglot

  • Place of publication

    Liberec

  • Event location

    Doubice

  • Event date

    Sep 10, 2009

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article