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Pythagorean hodograph curves of degree four

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10389287" target="_blank" >RIV/00216208:11320/18:10389287 - isvavai.cz</a>

  • Result on the web

    <a href="https://2018.csgg.cz/files/csgg_2018.pdf" target="_blank" >https://2018.csgg.cz/files/csgg_2018.pdf</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Pythagorean hodograph curves of degree four

  • Original language description

    All Euclidean similitudes and reparameterizations of planar curves with Pyhtagorean Hodograph (PH curves) can be induced by Euclidean similitudes and reparameterizations of their preimage. We exploit this fact in order to describe the explicit and implicit form of all planar PH curves of degree 4. We also classify these curves with respect to the type and distribution of their singularities. Our results are illustrated by examples.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA17-01171S" target="_blank" >GA17-01171S: Invariant differential operators and their applications in geometric modelling and control theory</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2018

  • 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 Czech-Slovak conference on geometry and graphics 2018

  • ISBN

    978-80-214-5652-5

  • ISSN

  • e-ISSN

    neuvedeno

  • Number of pages

    6

  • Pages from-to

    245-250

  • Publisher name

    Vysoké učení technické v Brně

  • Place of publication

    Brno

  • Event location

    Blansko

  • Event date

    Sep 10, 2018

  • Type of event by nationality

    EUR - Evropská akce

  • UT code for WoS article