Morphological Convolution Operations For Image Processing

M. M. Gupta; B. De Baets

doi:10.1117/12.970127

1 November 1989 Morphological Convolution Operations For Image Processing

M. M. Gupta, B. De Baets

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Proceedings Volume 1199, Visual Communications and Image Processing IV; (1989) https://doi.org/10.1117/12.970127
Event: 1989 Symposium on Visual Communications, Image Processing, and Intelligent Robotics Systems, 1989, Philadelphia, PA, United States

Abstract

Mathematical morphological operations are an important class of operations in image processing, development of machine vision systems and other similar applications. In this paper we present a general framework for morphological convolution operations. In the conventional convolution integral (summation) there are several basic mathematical steps (such as shifting, multiplication and integration) which are used to convolve the input signals or images with the ,weighting function (kernel) of a dynamic system. In this study we generalize the operational steps to include the broader meaning of multiplication operation by confluence operation, and integral operation by aggregation operation. Some of these operations are similar to that found in the biological vision system both at the retinal and visual cortex levels. This generalization leads to both deterministic and fuzzy types of morphological operations.

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M. M. Gupta and B. De Baets "Morphological Convolution Operations For Image Processing", Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); https://doi.org/10.1117/12.970127

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KEYWORDS

Convolution

Image processing

Binary data

Visual communications

Signal processing

Image filtering

Fuzzy logic

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