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Proceedings Paper

Advanced mathematical morphology: from an algebraic to a stochastic point of view (Invited Paper)
Author(s): Francoise J. Preteux
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Paper Abstract

In this paper, Mathematical Morphology (M.M.) foundations as an algebraic, topological and geometrical theory are recalled within both a deterministic and a stochastic framework. Some new developments such as morphological filtering, Boolean model, topographical distance and fuzzy measurements, ifiustrate the relevance of these mathematical foundations. Starting from the notion of hierarchical process, we define a stochastic morphology and develop the concept of stochastic morphological operators. The example of the stochastic averaging operator is presented and its equivalence with simulated annealing stated. Moreover, we introduce stochastic operators based on specific energy functionals and show that they allow to consider statistical and soft morphologies as limiting or special cases of stochastic morphology.

Paper Details

Date Published: 1 June 1992
PDF: 15 pages
Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60631
Show Author Affiliations
Francoise J. Preteux, Ecole Nationale Superieure des Telecommunications (France)

Published in SPIE Proceedings Vol. 1769:
Image Algebra and Morphological Image Processing III
Paul D. Gader; Edward R. Dougherty; Jean C. Serra, Editor(s)

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