title: Cyclic mathematical morphology in polar-logarithmic representation.
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-logarithmic 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.
authors.affiliation: Biomedical Image Technologies Lab of ETSI Telecomunicación, Universidad Politécnica de Madrid, 28040 Madrid, Spain. maluengo@die.upm.es
authors.forename: Miguel Angel
authors.initials: MA
authors.lastname: Luengo-Oroz
authors.forename: Jesús
authors.initials: J
authors.lastname: Angulo