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Journal of Electronic Imaging

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

We survey the framework of morphological edge detection. Morphological gradients are hybrid operators: they are constructed with set and arithmetic operations. After a short introduction to gradients in digital images, we present the gradients available in mathematical morphology: morphological gradients, half gradients, and directional gradients. These gradients are based on dilations and erosions. We present a new directional gradient based on graytone thinning/thickening and a new multiscale gradient called the regularized gradient. Morphological gradients have a considerable advantage with respect to classical edge detection paradigms: they are easier to generalize to any type of space in which dilation can be defined. We describe the gradient operators in image sequences, 3-D images, and graphs. We propose a new operator on graphs, the mosaic gradient.

Paper Details

Date Published: 1 October 1993
PDF: 11 pages
J. Electron. Imag. 2(4) doi: 10.1117/12.159642
Published in: Journal of Electronic Imaging Volume 2, Issue 4
Show Author Affiliations
Jean-Francois Rivest, Univ. of Ottawa (Canada)
Pierre Soille, Ecole des Mines de Paris (France)
Serge Beucher, Ecole des Mines de Paris (France)

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