• DocumentCode
    398651
  • Title

    A second-order PDE technique to construct distance functions with more accurate derivatives

  • Author

    Manay, S. ; Yezzi, Anthony

  • Author_Institution
    Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA
  • Volume
    1
  • fYear
    2003
  • fDate
    14-17 Sept. 2003
  • Abstract
    In this paper we demonstrate the use of an anisotropic PDE to improve the behavior of first and second derivatives of a distance function. We begin by deriving a property of these derivatives and showing a natural relationship between this property and the antigeometric heat flow. We then construct a PDE that combines a known first-order PDE with the antigeometric flow and then demonstrate its effectiveness with a discrete simulation.
  • Keywords
    image processing; partial differential equations; anisotropic PDE; antigeometric heat flow; distance function derivative; second-order PDE technique; Anisotropic magnetoresistance; Computational modeling; Image registration; Laplace equations; Level set; Smoothing methods;
  • 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.2003.1247102
  • Filename
    1247102