• DocumentCode
    1202077
  • Title

    Geodesics-based one-to-one parameterization of 3D triangle meshes

  • Author

    Lee, Haeyoung ; Tong, Yiying ; Desbrun, Mathieu

  • Author_Institution
    Hongik Univ., South Korea
  • Volume
    12
  • Issue
    1
  • fYear
    2005
  • Firstpage
    27
  • Lastpage
    33
  • Abstract
    Digital geometry is a new data type for multimedia applications. To foster the use of 3D geometry, we introduce a piecewise linear parameterization of 3D surfaces that we can use for texture mapping, morphing, remeshing, and geometry imaging. Our method guarantees one-to-one mapping without foldovers in a geometrically intuitive way.
  • Keywords
    computational geometry; differential geometry; image morphing; image texture; mesh generation; multimedia computing; piecewise linear techniques; surface texture; 3D geometry; 3D surfaces; 3D triangle meshes; digital geometry; geodesics; geometry imaging; morphing; multimedia applications; one-to-one mapping; one-to-one parameterization; piecewise linear parameterization; remeshing; texture mapping; Computational efficiency; Convergence; Ear; Equations; Geometry; Gold; Linear systems; Mesh generation; Shape; Sparse matrices;
  • fLanguage
    English
  • Journal_Title
    MultiMedia, IEEE
  • Publisher
    ieee
  • ISSN
    1070-986X
  • Type

    jour

  • DOI
    10.1109/MMUL.2005.5
  • Filename
    1377100