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Rational hypersurfaces with rational convolutions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F07%3A00000098" target="_blank" >RIV/49777513:23520/07:00000098 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Rational hypersurfaces with rational convolutions

  • Original language description

    The aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational convolutions generally, or in some special cases. Examples of such hypersurfaces are presented and their properties are discussed.We also aim to examine links between well-known curves and surfaces (PH/PN or LN) and objects defined and explored in this article. In addition, the paper brings a proof that the convolution surfaces of non-developable quadratic Bézier surfaces and an arbitrary rational surface are always rational.

  • Czech name

    Racionální nadplochy s racionálními konvolucemi

  • Czech description

    Příspěvek se zaměřuje na studium racionálních nadploch, k nimž lze sestrojit konvoluci s racionálním popisem - ať už obecně, nebo alespoň ve speciálních případech. V článku jsou uvedeny příklady takovýchto objektů a jsou zdůrazněny vztahy k již existujícím třídám křivek a ploch (např. PH/PN nebo LN).

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

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • 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

  • Issue of the periodical within the volume

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    17

  • Pages from-to

    410

  • UT code for WoS article

  • EID of the result in the Scopus database