Summary: 1090 IEEE TRANSACTIONS ON IMAGE PROCESSING, VOL. 18, NO. 5, MAY 2009
Cyclic Mathematical Morphology in
Miguel Angel Luengo-Oroz and Jesús Angulo
Abstract--We propose in this paper to perform mathematical
morphology operators in a geometric transformation of an image.
As a result of this procedure, processing images with regular
structuring elements in the transformed domain is equivalent
to working with deformed structuring elements in the original
representation. More specifically, the conversion into polar-loga-
rithmic coordinates provides satisfying results in image analysis
applied to round objects, if they are roughly origin-centered. We
have illustrated the interest of the derived cyclic morphology with
two pattern recognition examples: erythrocyte shape analysis and
multiscale description of iris textures.
Index Terms--Circular opening, granulometric iris code, polar-
logarithmic coordinates, radial skeleton, red blood cell shape anal-
ysis, spatially variant mathematical morphology.
TRANSLATION, rotation, and scale invariant represen-