Hausdorff distance and image processing

Russian Mathematical Surveys

Volumn 59, Issue 2, 2004, Pages 319-328

  Sendov, B ^a  

^a BULGARIAN ACADEMY OF SCIENCES   (Bulgaria)

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[No Author keywords available]

Indexed keywords

EID: 4344652669     PISSN: 00360279     EISSN: 14684829     Source Type: Journal    
DOI: 10.1070/RM2004v059n02ABEH000721     Document Type: Article

References (14)

1. A. Andreev and P. Marinov, "Numerical determination of the element of best Hausdorff approximation", Approximation Theory. A volume dedicated to Blagovest Sendov (B. Bojanov, ed.), DABRA, Sofia 2002, pp. 1-12.
2. M. F. Barnsley and L. P. Hurd, Fractal image compression, Peters, Wellesley 1993.
3. V. Bochev, P. Marinov, P. Nus, and T. Cecchin, "An FPGA/PLSI Hausdorff distance processor design for pattern recognition applications", International Conference on Signal Processing, Applications and Technology (Boston. 1995), ICSPAT, Boston 1995, pp. 1015-1018.
4. F. Hausdorff, Mengenlehre, W. Gruyter, Berlin 1927.
5. A. Kolmogoroff, "Über die beste Annäherung von Funktionen einer gegebenen Funktionensklasse", Ann. of Math. (2) 37 (1936), 107-110; Russian transl., "On the best approximation of functions of a given function class", Selected works of A. N. Kolmogorov, vol. I: Mathematics and mechanics, Nauka, Moscow 1985, pp. 186-189; English transl., Kluwer, Dordrecht 1991, pp. 202-205.
6. A. Kolmogoroff, "Über die beste Annäherung von Funktionen einer gegebenen Funktionensklasse", Ann. of Math. (2) 37 (1936), 107-110; Russian transl., "On the best approximation of functions of a given function class", Selected works of A. N. Kolmogorov, vol. I: Mathematics and mechanics, Nauka, Moscow 1985, pp. 186-189; English transl., Kluwer, Dordrecht 1991, pp. 202-205.
7. A. N. Kolmogorov and V. M. Tikhomirov, "ε-entropy and ε-capacity of sets in function spaces", Uspekhi Mat. Nauk 14:2 (1959), 3-86; English transl., Amer. Math. Soc. Transl. Ser. (2) 17 (1961), 227-364.
8. A. N. Kolmogorov and V. M. Tikhomirov, "ε-entropy and ε-capacity of sets in function spaces", Uspekhi Mat. Nauk 14:2 (1959), 3-86; English transl., Amer. Math. Soc. Transl. Ser. (2) 17 (1961), 227-364.
9. Bl. Sendov, "Some questions of the theory of approximations of functions and sets in the Hausdorff metric", Uspekhi Mat. Mat. 24:5 (1969), 141-178; English transl., Russian Math. Surveys 24:5 (1969), 143-183.
10. Bl. Sendov, "Some questions of the theory of approximations of functions and sets in the Hausdorff metric", Uspekhi Mat. Mat. 24:5 (1969), 141-178; English transl., Russian Math. Surveys 24:5 (1969), 143-183.
11. Bl. Sendov, Hausdorff approximations, Kluwer, Dordrecht 1990.
12. Bl. Sendov, "Integral Hausdorff distance", C. R. Acad. Bulgare Sci. 46:10 (1993), 21-24.
13. Bl. Sendov, "Mathematical modeling of real-world images", Constr. Approx. 12:1 (1996), 12-65.
14. Bl. Sendov and V. A. Popov, "On certain properties of the Hausdorff metric", Mathematica (Cluj) 8 (1966), 163-172. (Russian)