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Proceedings Paper

Fast dilation and erosion of time-varying grey-valued images with uncertainty
Author(s): Phillip A. Laplante; Charles Robert Giardina
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Paper Abstract

Two of the most important basic morphological operations used in image filtering are erosion and dilation. In this paper the authors consider the case when a finite image is part of a pixel display which changes ate discrete times. Taking advantage of the fact that not all pixels will change from time t to time t + 1, they develop two important algorithms for computing the dilation and erosion of such images in o(n2) less time then with brute force. These results hold also for translation and rotation and can be extended to opening and closing of images by structuring elements. These results are also extended to images which contain multi-uncertain values, that is, the extended fuzzy pointing set. The advantages of these fast operations are obvious in on-the-fly image processing schemes such as real-time filtering of images.

Paper Details

Date Published: 1 July 1991
PDF: 8 pages
Proc. SPIE 1568, Image Algebra and Morphological Image Processing II, (1 July 1991); doi: 10.1117/12.46124
Show Author Affiliations
Phillip A. Laplante, Fairleigh Dickinson Univ. (United States)
Charles Robert Giardina, City Univ. of New York (United States)

Published in SPIE Proceedings Vol. 1568:
Image Algebra and Morphological Image Processing II
Paul D. Gader; Edward R. Dougherty, Editor(s)

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