Cyclic mathematical morphology in polar-logarithmic representation

Miguel Angel Luengo-Oroz 1 Jesus Angulo 2
1 CIBER-BBN - Biomedical Image Technologies, Biomedical Research Center
2 CMM - Centre de Morphologie Mathématique
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.
Keywords : Circular opening Granulometric iris code Polar-logarithmic coordinates Radial skeleton Red blood cell shape analysis Spatially variant mathematical morphology
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IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2009, Volume 18 (Issue 5), pp.1090-1096. <10.1109/TIP.2009.2013078>
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00835942
Contributeur : Sylvie Lavigne <>
Soumis le : jeudi 20 juin 2013 - 10:59:00
Dernière modification le : mardi 12 septembre 2017 - 11:41:36

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Miguel Angel Luengo-Oroz, Jesus Angulo. Cyclic mathematical morphology in polar-logarithmic representation. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2009, Volume 18 (Issue 5), pp.1090-1096. <10.1109/TIP.2009.2013078>. <hal-00835942>

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