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On de Casteljau-type algorithms for rational Bezier curves

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10317224" target="_blank" >RIV/00216208:11320/15:10317224 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0377042715000497" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0377042715000497</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cam.2015.01.037" target="_blank" >10.1016/j.cam.2015.01.037</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    On de Casteljau-type algorithms for rational Bezier curves

  • Original language description

    We consider the space of rational functions of degree n with a common denominator. It is shown that-in addition to the standard rational de Casteljau algorithm-the corresponding rational Bézier curves admit up to n! different de Casteljau-type algorithms, depending on the ordering of the elementary factors of the polynomial. Our observations generalize recent results of Han et al. (2014).

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2015

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Computer Aided Geometric Design

  • ISSN

    0167-8396

  • e-ISSN

  • Volume of the periodical

    2015

  • Issue of the periodical within the volume

    288

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    7

  • Pages from-to

    244-250

  • UT code for WoS article

    000356733800020

  • EID of the result in the Scopus database

    2-s2.0-84929192087