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Morphological operators for images valued on the sphere

Abstract : The lack of a natural ordering on the sphere presents an inherent problem when defining morphological operators extended to unit sphere. We analyze here the notion of averaging over the unit sphere to obtain a local origin which can used to formulate ordering based operators. The notion of local supremum and infimum is introduced, which allows to define the dilation and erosion for images valued on the sphere. The algorithms are illustrated using polarimetric images.
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https://hal-supelec.archives-ouvertes.fr/hal-00783122
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Submitted on : Thursday, January 31, 2013 - 2:49:12 PM
Last modification on : Tuesday, June 15, 2021 - 4:20:14 PM

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Joana Frontera-Pons, Jesus Angulo. Morphological operators for images valued on the sphere. 2012 19th IEEE International Conference on Image Processing (ICIP 2012), Sep 2012, Lake Buena Vista, United States. pp.113-116, ⟨10.1109/ICIP.2012.6466808⟩. ⟨hal-00783122⟩

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