Mathematical morphology in polar-logarithmic coordinates. application to erythrocyte shape analysis

Authors:
Miguel A. Luengo-Oroz;Jesús Angulo;Georges Flandrin;Jacques Klossa
Affiliations:
Centre de Morphologie Mathématique, Ecole des Mines de Paris, Fontainebleau, France;Centre de Morphologie Mathématique, Ecole des Mines de Paris, Fontainebleau, France;Unité de Télémédecine, Hôpital Universitaire Necker, Paris;TRIBVN Company, Paris, France
Venue:
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Year:
2005

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Abstract

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.