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Theory of Matrix Morphology
June 1992 (vol. 14 no. 6)
pp. 636-652

The current concept of mathematical morphology (called scalar morphology here) is extended to a matrix morphology formalism. A formal definition of matrix morphology on binary images is followed by a complete pictorial example of a nontrivial application. Binary matrix morphology is extended to gray-scale matrix morphology using a traditional development. General window transforms are expressed in terms of matrices. An application to character recognition is given.

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Index Terms:
pattern recognition; picture processing; binary matrix morphology; image analysis; scalar morphology; binary images; gray-scale matrix morphology; character recognition; character recognition; matrix algebra; pattern recognition; picture processing
S.S. Wilson, "Theory of Matrix Morphology," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 14, no. 6, pp. 636-652, June 1992, doi:10.1109/34.141554
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