Abstract
Mathematical Morphology is introduced as a method Image Analysis based on set theory. Two examples are treated in detail, in order to exhibit sequences of operations. Emphasis is put on the progressive loss of information. The concept of a morphological filter is then presented. After a discussion on the current equipments, the conclusion compares Mathematical Morphology with the other methods for Image Analysis.
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References
Chermant J-L., Coster M. (1985): Précis d’analyse d’image C.N.R.S., Paris, 521 p.
Hadwiger H. (1957): Vorslesungen èber inhalt Oberflèche, und Isoperimetric. Springer, Berlin, 312 p.
Koffka K. (1935): Principles of Gestalt Psychology, Harcourt, N.Y., 720 p.
Kohler W. (1929) Gestalt Psychology, Liveright (N.Y.), 403 p.
Lantuejoul Ch. (1978): ‘Détection automatique des lignes de défaut dans les eutectiques lamellaires’, rapport interne, 22 p.
Lantuejoul Ch., BEUCHER S. (1981): ‘On the use of the Geodesic metrics in Image Analysis’, j. of Micr. Vol. 121, pt. 1, pp. 39–49.
Lay B., Lantuejoul (1983): ‘Morpholog User’s Guide’, Ecole des Mines de Paris, 84 p.
Matheron G. (1967): Eléments pour une théorie des Milieux Poreux, Masson, Paris, 166 p.
Matheron G. (1975): Random sets and Integral Geometry. Wiley, 275 p.
Matheron G. (1983): ‘Filters and lattices’, rapport interne Ecole des Mines, 36 p.
Meyer F. (1979): ‘Iterative Image Transformations for an Automatic Screening of Cervical Smears’ (Journal of Histochemistry and Cytochemistry, Vol. 27, n 1, pp. 128–135).
Meyer F. (1980): ‘Empiricism or Idealism…’ (“Pattern Recognition in Practice”, E.S. Geselma and L.N. Kanal, Editors, North-Holland Publishing Co; pp. 21–33).
Meyer F. (1982): ‘The perceptual graph: a new algorithm’ (ICASSP 82. Proc., IEEE Internat. Conf. on Acoustics, Speech and Signal Processing, Paris, 3–5 May 1982, pp. 1932–1935).
Meyer F., Van Driel A. (1980): ‘Automatic Screening of Papanicolaou Stained Cervical Smear with the T.A.S.’, Microscopica Acta, Suppl. n ° 4, pp. 82–94.
Preston K., Duff M. (1985): Modern Cellular Automata Plenum Press, N.Y., 300 p.
Preteux F. (1984): ‘Détection automatisée de différents organes en coupes scanner’ (Colloque Image, GRESTI CESTA), 6 P.
Rosenfeld A., Kak A.C. (1976): Digital Picture Processing, Ac. Press, N.Y., London.
Serra J. (1982): Image Analysis and Mathematical Morphology. Ac. Press, 600 p.
Serra J. (1983): ‘Quelques semi-groupes de filtrages morphologiques’, rapport interne, Ecole des Mines, 30 p.
Serra J. (1986): Elements de théorie pour l’optigue morphologigue Doctor Thesis, Edn. of Paris, 217 p.
Serra J. (Ed.): Advances in Mathematical Morphology (to be published in 1987).
Shannon E., Weaver W. (1949): A Mathematical Theory of Communicatio, Univ. of Illinois Press.
Sternberg S.R. (1982): ‘Cellular Computers and Biochemical Image Processing’, Proc. US-France Seminar Biochemical Image Processing, Springer Verlag, New York.
Weibel E.R. (1980): Stereological methods (Vol. 1), Ac. Press, London, 416 p.
Wiener N. (1949): The extrapolation, interpolation and smoothing of stationarity time series with engineering applications, Wiley, N.Y.
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© 1988 D. Reidel Publishing Company, Dordrecht, Holland
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Serra, J. (1988). Principles of Mathematical Morphology. In: Chung, C.F., Fabbri, A.G., Sinding-Larsen, R. (eds) Quantitative Analysis of Mineral and Energy Resources. NATO ASI Series, vol 223. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4029-1_14
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DOI: https://doi.org/10.1007/978-94-009-4029-1_14
Publisher Name: Springer, Dordrecht
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