Mathematical Morphology in Polar-Logarithmic Coordinates. Application to Erythrocyte Shape Analysis

  • Miguel A. Luengo-Oroz
  • Jesús Angulo
  • Georges Flandrin
  • Jacques Klossa
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3523)


We present in this paper the application of mathematical morphology operators through a transformation of the Cartesian image into another geometric space, i.e. pol-log image. The conversion into polar-logarithmic coordinates as well as the derived cyclic morphology provides satisfying results in image analysis applied to round objects or spheroid-shaped 3D-object models. As an example of application, an algorithm for the shape analysis of the shape of red blood cells is given.


Mathematical Morphology Binary Mask Cartesian Space Morphological Operator Radial Sense 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Miguel A. Luengo-Oroz
    • 1
  • Jesús Angulo
    • 1
  • Georges Flandrin
    • 2
  • Jacques Klossa
    • 3
  1. 1.Centre de Morphologie MathématiqueEcole des Mines de ParisFontainebleauFrance
  2. 2.Unité de TélémédecineHôpital Universitaire NeckerParis
  3. 3.TRIBVN CompanyParisFrance

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