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Proceedings Paper

Morphological gradients
Author(s): Jean-Francois Rivest; Pierre Soille; Serge Beucher
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Paper Abstract

Object boundaries are generally characterized by grey level intensity transitions. In order to detect these variations, gradient masks are widely used, and this paper surveys the morphological framework of gradient operators. Morphological gradients are based on the difference between extensive and anti-extensive transformations. For instance dilations and erosions with structuring elements containing their origin belong to this class of transformations. Generally, these gradients are used in segmentation applications with edge finders such as sequential searches, thresholdings or the watershed transformation. The robustness of this latter transformation allows more tolerances for the construction of a gradient operator. After a short introduction to gradients in digital images the gradients available in mathematical morphology are presented: Beucher, internal and external, thick, regularized, directional, and thinning/thickening gradients. Applicability and performance of each gradient are briefly evaluated, followed by a generalization of the morphological framework of gradient operators to other digital sources.

Paper Details

Date Published: 1 April 1992
PDF: 12 pages
Proc. SPIE 1658, Nonlinear Image Processing III, (1 April 1992); doi: 10.1117/12.58373
Show Author Affiliations
Jean-Francois Rivest, Ecole des Mines de Paris (France)
Pierre Soille, Ecole des Mines de Paris (France)
Serge Beucher, Ecole des Mines de Paris (France)

Published in SPIE Proceedings Vol. 1658:
Nonlinear Image Processing III
Edward R. Dougherty; Jaakko T. Astola; Charles G. Boncelet, Editor(s)

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