The Matheron representation theorem for gray-scale morphological filters
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- by G. Crombez
- Proc. Amer. Math. Soc. 108 (1990), 795-799
- DOI: https://doi.org/10.1090/S0002-9939-1990-1000325-9
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Abstract:
We present a new proof of the Matheron representation theorem for gray-scale morphological filters, without using either the representation theorem for subsets of the plane or the umbra transform.References
- G. Crombez, Group theoretical methods in gray-scale mathematical morphology, (preprint).
C. R. Giardina and E. R. Dougherty, Morphological methods in image and signal processing, Prentice Hall, Englewood Cliffs, New Jersey, 1988.
- G. Matheron, Random sets and integral geometry, Wiley Series in Probability and Mathematical Statistics, John Wiley & Sons, New York-London-Sydney, 1975. With a foreword by Geoffrey S. Watson. MR 0385969
- J. Serra, Image analysis and mathematical morphology, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], London, 1984. English version revised by Noel Cressie. MR 753649
Bibliographic Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 108 (1990), 795-799
- MSC: Primary 60D05; Secondary 68U10, 94A12
- DOI: https://doi.org/10.1090/S0002-9939-1990-1000325-9
- MathSciNet review: 1000325