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Hierarchical Description of Image Structure

  • J. J. Koenderink
  • A. J. van Doorn
Conference paper
  • 210 Downloads
Part of the Springer Series in Optical Sciences book series (SSOS, volume 31)

Abstract

Let the image be given as a smooth illuminance distribution . Then we define the ε-level set as . The boundary of the ε-level set is just the ε isophote. We require that the image is generic, that is, stable against infinitesimal perturbations (any real image is generic!). A regular point of the image is a point at which does not vanish, if , is a critical point and a critical level. For a generic image the critical points are isolated and all critical levels are distinct.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1982

Authors and Affiliations

  • J. J. Koenderink
    • 1
  • A. J. van Doorn
    • 1
  1. 1.Department of Medical and Physiological Physics Physics LaboratoryState University UtrechtUtrechtThe Netherlands

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