Morphological gradients

Jean-Francois Rivest; Pierre Soille; Serge Beucher

doi:10.1117/12.159642

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.

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Jean-Francois Rivest, Jean-Francois Rivest, Pierre Soille, Pierre Soille, Serge Beucher, Serge Beucher, } "Morphological gradients," Journal of Electronic Imaging 2(4), (1 October 1993). https://doi.org/10.1117/12.159642 . Submission:

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