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

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. © Springer-Verlag Berlin Heidelberg 2005.