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Surfaces with piecewise linear support functions over spherical triangulations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F07%3A00004967" target="_blank" >RIV/00216208:11320/07:00004967 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Surfaces with piecewise linear support functions over spherical triangulations

  • Original language description

    Given a smooth surface patch we construct an approximating piecewise linear structure. More precisely, we produce a mesh for which virtually all vertices have valency three. We present two methods for the construction of meshes whose facets are tangent to the original surface. These two methods can deal with elliptic and hyperbolic surfaces, respectively. In order to describe and to derive the construction, which is based on a projective duality, we use the socalled support function representation of the surface and of the mesh, where the latter one has a piecewise linear support function.

  • Czech name

    Plochy s počástech lineární opěrnou funkcí.

  • Czech description

    Studujeme plochy s počástech lineární opěrnou funkcí.

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

    2007

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    The Mathematics of Surfaces XII

  • ISBN

    978-3-540-73842-8

  • ISSN

  • e-ISSN

  • Number of pages

    22

  • Pages from-to

    42-63

  • Publisher name

    Springer

  • Place of publication

    Berlin / Heideberg

  • Event location

    Berlin / Heideberg

  • Event date

    Jan 1, 2007

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article