Residuated semigroups and morphological aspects of translation invariant systems

Fuzzy Sets and Systems

Volumn 90, Issue 1, 1997, Pages 69-81

  Daneshgar, Amir ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21544482569     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00116-9     Document Type: Article

References (22)

1. G. Birkhoff, Lattice Theory, AMS Colloquium Publications, Vol. XXV (AMS, New York, 2nd ed., 1967).
2. T.S. Blyth and M.F. Janowitz, Residuation Theory, International Series of Monographs in Pure and Applied Mathematics, Vol. 102 (Pergamon Press, Oxford, 1972).
3. A. Daneshgar, Duality in a generalized model for translation invariant systems, Fuzzy Sets and Systems, to appear.
4. A. Daneshgar, Reconstruction theorems in a generalized model for translation invariant systems, Fuzzy Sets and Systems, to appear.
5. A. Daneshgar, Thresholding in a generalized model for translation invariant systems, Fuzzy Sets and Systems, to appear.
6. A. Daneshgar, System theory and fuzzy sets part II: Topology and duality in translation invariant systems, Tech. Rep. 93-021 (Institute for Studies in Theoretical Physics and Mathematics (IPM), 1993).
7. A. Daneshgar, System theory and fuzzy sets part III: Basic morphological concepts in translation invariant systems, Tech. Rep. 93-039 (Institute for Studies in Theoretical Physics and Mathematics (IPM), 1993).
8. A. Daneshgar, General theory of translation invariant systems, in: C.J. Colbourn and E.S. Mahmoodian, Eds., Combinatorics Advances, Ch. 5, Mathematics and its Applications (Kluwer, Dordrecht, 1995).
9. E. Dougherty and C. Giardina, Morphological Methods in Image and Signal Processing (Prentice-Hall, Englewood Cliffs, NJ, 1988).
10. J. Goutsias and D. Schonfeld, Morphological representation of discrete and binary images, IEEE Trans. Signal Processing 39 (1991) 1369-1379.
11. U. Höhle and L.N. Stout, Foundations of fuzzy sets, Fuzzy Sets and Systems 40 (1991) 257-296.
12. E.P. Klement, U. Höhle and S.E. Rodabaugh, Eds., Applications of Category Theory to Fuzzy Subsets, in TDL Series B: Mathematical and Statistical Methods, Vol. 14 (Kluwer Academic Publishers, Dordrecht, 1992).
13. S. Maclane, Categories for the Working Mathematician, Graduate Texts in Mathematics (Springer, Berlin, 1971).
14. P. Maragos and R. Schafer, Morphological filters - part I: their set-theoretic analysis and relations to linear shift invariant filters, IEEE Trans. Acoust. Speech Signal Processing 35 (1987) 1153-1169. Also Corrections in ASSP-37 (April 1989) 597.
15. P. Maragos and R. Schafer, Morphological filters - part II: their relations to median, order-statistic and stack filters, IEEE Trans. Acoust. Speech, Signal Processing 35 (1987) 1170-1184. Also Corrections in ASSP-37 (April 1989) 597.
16. P. Maragos and R. Schafer, Morphological systems for multidimensional signal processing, Proc. IEEE 78 (1990) 690-710.
17. G. Matheron, Elements pour une Theorie des Milieux Poreux (Masson, Paris, 1967).
18. G. Matheron, Random Sets and Integral Geometry (Wiley, New York, 1975).
19. J. Serra, Image Analysis and Mathematical Morphology (Academic Press, New York, 1982).
20. J. Serra, Image Analysis and Mathematical Morphology: Theoretical Advances, Vol. 2 (Academic Press, New York, 1988).
21. J.W. Tukey, Exploratory Data Analysis (Addison-Wesley, Reading, MA, 1977).
22. O. Wyler, Lecture Notes on Topoi and Quasitopoi (World Scientific, Singapore, 1991).