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Theoretical aspects of gray-level morphology

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1 Author(s)
H. J. A. M. Heijmans ; Centre for Math. & Comput. Sci., Amsterdam, Netherlands

After a brief discussion of the extension of mathematical morphology to complete lattices, the space of gray-level functions is considered and the concept of a threshold set is introduced. It is shown how one can use binary morphological operators and thresholding techniques to build a large class of gray-level morphological operators. Particular attention is given to the class of so-called flat operators, i.e. operators which commute with thresholding. It is also shown how to define dilations and erosions with nonflat structuring elements if the gray-level set is finite. It is reported that mere truncation yields wrong results

Published in:

IEEE Transactions on Pattern Analysis and Machine Intelligence  (Volume:13 ,  Issue: 6 )