Variable Structuring Element Based Fuzzy Morphological Operations for Single Viewpoint Omnidirectional Images

Olivier Strauss 1 Frédéric Comby 1
1 ICAR - Image & Interaction
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : Morphological tools can provide transformations suitable for real projective images, but the camera and objects to be analyzed have to be positioned in such a manner that a regular mesh on the objects projects a regular mesh on the image. A morphological modification of the image is thus the projection of an equivalent operation on the object. Otherwise, due to perspective effects, a morphological operation on the image is not the projection of an equivalent operation on the objects to be analyzed. With catadioptric omnidirectional images, it is almost impossible to place the sensor such that a regular mesh on the scene projects a regular mesh on the image. Nevertheless, with proper calibration of a central catadioptric system, the projection of a regular structuring element in a scene can be determined for each point on the image. The aim of this paper is to present new morphological operators that use this projective property. These operators make use of a structuring element of varying shape. Since this varying shape cannot be represented as a binary union of pixels, we propose to use a fuzzy extension of the classical gray-level morphology to account for this phenomenon. This fuzzy extension is performed via fuzzy integrals.
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https://hal-lirmm.ccsd.cnrs.fr/lirmm-00166925
Contributeur : Olivier Strauss <>
Soumis le : lundi 13 août 2007 - 10:09:21
Dernière modification le : jeudi 11 janvier 2018 - 06:26:18
Document(s) archivé(s) le : jeudi 8 avril 2010 - 19:02:13

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Olivier Strauss, Frédéric Comby. Variable Structuring Element Based Fuzzy Morphological Operations for Single Viewpoint Omnidirectional Images. Pattern Recognition, Elsevier, 2007, 40 (12), pp.3578-3596. 〈http://www.sciencedirect.com/〉. 〈10.1016/j.patcog.2007.05.003〉. 〈lirmm-00166925〉

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