• DocumentCode
    2313868
  • Title

    Axiomatic scalar data interpolation on manifolds

  • Author

    Sander, Oliver ; Caselles, Vicent ; Bertalmio, Marcelo

  • Author_Institution
    Dept. de Tecnologia, Univ. Pompeu Fabra, Barcelona, Spain
  • Volume
    3
  • fYear
    2003
  • fDate
    14-17 Sept. 2003
  • Abstract
    We discuss possible algorithms for interpolating data given in a set of curves and/or points in a surface in R3. We propose a set of basic assumptions to be satisfied by the interpolation algorithms which lead to a set of models in terms of possibly degenerate elliptic partial differential equations. The absolute minimal Lipschitz extension model (AMLE) is singled out and studied in more detail. We show experiments illustrating the interpolation of data on the sphere and the torus.
  • Keywords
    image processing; interpolation; partial differential equations; set theory; absolute minimal Lipschitz extension model; axiomatic scalar data interpolation; elliptic partial differential equations; interpolation algorithms; sphere; torus; Displays; Image coding; Image processing; Interpolation; Level set; Partial differential equations; Stability; Viscosity;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Image Processing, 2003. ICIP 2003. Proceedings. 2003 International Conference on
  • ISSN
    1522-4880
  • Print_ISBN
    0-7803-7750-8
  • Type

    conf

  • DOI
    10.1109/ICIP.2003.1247336
  • Filename
    1247336
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2313868