• DocumentCode
    3173655
  • Title

    The Projective Linear Transition Map for Constructing Smooth Surfaces

  • Author

    Peters, Jög ; Fan, Jianhua

  • Author_Institution
    Dept. of C.I.S.E., Univ. of Florida, Gainesville, FL, USA
  • fYear
    2010
  • fDate
    21-23 June 2010
  • Firstpage
    124
  • Lastpage
    130
  • Abstract
    We exhibit the essentially unique projective linear (rational linear) reparameterization for constructing Cs surfaces of genus g>0. Conversely, for quadrilaterals and isolated vertices of valence 8, we show constructively for s=1,2 that this map yields a projective linear spline space for surfaces of genus greater or equal to 1. This establishes the reparametrization to be the simplest possible transition map.
  • Keywords
    mesh generation; splines (mathematics); projective linear spline space; projective linear transition map; quad meshes; smooth surface construction; unique projective linear reparameterization; Geometry; Shape; Spline; Topology; G^s geometric continuity; free-form spline surface; non-zero genus; quad meshes; reparameterization; topology; unique rational linear transition map;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Shape Modeling International Conference (SMI), 2010
  • Conference_Location
    Aix-en-Provence
  • Print_ISBN
    978-1-4244-7259-8
  • Electronic_ISBN
    978-1-4244-7260-4
  • Type

    conf

  • DOI
    10.1109/SMI.2010.26
  • Filename
    5521455
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3173655