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Proceedings Paper

Learning the identity with basic morphological operators (potato peeler algorithm)
Author(s): Juliette Mattioli; Michel Schmitt
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Paper Abstract

Let f denote an image and F a morphological operator depending on a set of parameters {mj}. The purpose of this paper is to find a set of parameters which satisfies the equation F(f,m) equals f where F is one of the two basic morphological operator: erosion or dilation. It is obvious that there exists a trivial solution m of f equals F(f,m), which is given by m(x) equals 0 if x equals 0 and m(x) equals -(infinity) otherwise. Our approach is to consider this problem as an optimization problem: `find the best set of parameters which minimizes the error between the desired image f and the output filtered image F(f,m)'. Among various possible approaches, we have chosen a specific one introduced by Ph. Salembier for adaptative structuring elements. In our problem, we prove that Salembier algorithms always converge toward a solution distinct from m.

Paper Details

Date Published: 30 June 1994
PDF: 10 pages
Proc. SPIE 2300, Image Algebra and Morphological Image Processing V, (30 June 1994); doi: 10.1117/12.179213
Show Author Affiliations
Juliette Mattioli, Thomson-CSF (France)
Michel Schmitt, Thomson-CSF (France)

Published in SPIE Proceedings Vol. 2300:
Image Algebra and Morphological Image Processing V
Edward R. Dougherty; Paul D. Gader; Michel Schmitt, Editor(s)

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