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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.
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https://hal-mines-paristech.archives-ouvertes.fr/hal-00835942
Contributor : Sylvie Lavigne <>
Submitted on : Thursday, June 20, 2013 - 10:59:00 AM
Last modification on : Thursday, September 24, 2020 - 4:38:04 PM

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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, 18 (5), pp.1090-1096. ⟨10.1109/TIP.2009.2013078⟩. ⟨hal-00835942⟩

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