• DocumentCode
    1305526
  • Title

    The support cone: a representational tool for the analysis of boundaries and their interactions

  • Author

    Dorst, Leo ; van den Boorngaard, R.

  • Author_Institution
    Amsterdam Univ., Netherlands
  • Volume
    22
  • Issue
    2
  • fYear
    2000
  • fDate
    2/1/2000 12:00:00 AM
  • Firstpage
    174
  • Lastpage
    178
  • Abstract
    We present a directional boundary representation which deals locally and consistently with the boundary´s “inside”. We show that collision and wave propagation are reduced to addition on the spectrum of directions, and we derive transformation laws for differential geometrical properties such as directed curvature
  • Keywords
    boundary-value problems; differential geometry; edge detection; mathematical morphology; transforms; Gauss map; Huygens wave propagation; Legendre transform; boundary representation; collision detection; differential geometry; directed curvature; directional boundary; mathematical morphology; slope transforms; Acoustic propagation; Algorithm design and analysis; Application software; Gaussian processes; Geometry; Morphology; Object detection; Radar detection; Robots; Shape;
  • fLanguage
    English
  • Journal_Title
    Pattern Analysis and Machine Intelligence, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0162-8828
  • Type

    jour

  • DOI
    10.1109/34.825755
  • Filename
    825755