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Volumn 12, Issue 1, 1996, Pages 31-65

Mathematical modeling of real-world images

Author keywords

Completed graph; Fractal transform operator; Hausdorff continuity; Hausdorff distance; Image compression; Pixel function

Indexed keywords


EID: 0038879075     PISSN: 01764276     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02432854     Document Type: Article
Times cited : (2)

References (18)
  • 3
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    • On the widths of the space of continuous functions in the metric of Hausdorff
    • in Bulgarian
    • T. P. BOYANOV, V. A. POPOV (1970): On the widths of the space of continuous functions in the metric of Hausdorff. Godishnik Sofia Univ. Mat. Fak., 63:167-185 (in Bulgarian).
    • (1970) Godishnik Sofia Univ. Mat. Fak. , vol.63 , pp. 167-185
    • Boyanov, T.P.1    Popov, V.A.2
  • 6
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J. HUTCHINSON (1981): Fractals and self-similarity. Indiana Univ. Math. J., 30:713-747.
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 7
    • 84972560096 scopus 로고
    • A limit theorem for Markov chains in compact metric spaces with applications on products of random matrices
    • T. KAISER (1978): A limit theorem for Markov chains in compact metric spaces with applications on products of random matrices. Duke Math. J., 45:311-349.
    • (1978) Duke Math. J. , vol.45 , pp. 311-349
    • Kaiser, T.1
  • 8
    • 0000734598 scopus 로고
    • Über die beste annaherung von functionen einer functionsklasse
    • A. N. KOLMOGOROV (1936): Über die beste annaherung von functionen einer functionsklasse. Math. Ann., 37:107-111.
    • (1936) Math. Ann. , vol.37 , pp. 107-111
    • Kolmogorov, A.N.1
  • 9
    • 0001702087 scopus 로고
    • Asymptotic characteristics of certain totally bounded metric spaces
    • in Russian
    • A. N. KOLMOGOROV (1956): Asymptotic characteristics of certain totally bounded metric spaces. Dokl. Acad. Nauk SSSR, 108:385-389 (in Russian).
    • (1956) Dokl. Acad. Nauk SSSR , vol.108 , pp. 385-389
    • Kolmogorov, A.N.1
  • 10
    • 70350266491 scopus 로고
    • An axiomatic approach to certain questions in the constructive approximation theory of functions of one variable
    • in Russian
    • P. P. KOROVKIN (1969): An axiomatic approach to certain questions in the constructive approximation theory of functions of one variable. Uncen. Zap. Kaliningr. Gos. Ped. Inst., 69:91-109 (in Russian).
    • (1969) Uncen. Zap. Kaliningr. Gos. Ped. Inst. , vol.69 , pp. 91-109
    • Korovkin, P.P.1
  • 12
    • 0040701964 scopus 로고
    • Approximation of functions by algebraic polynomials with respect to a metric of Hausdorff type
    • in Bulgarian
    • BL. SENDOV (1962): Approximation of functions by algebraic polynomials with respect to a metric of Hausdorff type. Godishnik Sofia Univ. Mat. Fak., 55:1-39 (in Bulgarian).
    • (1962) Godishnik Sofia Univ. Mat. Fak. , vol.55 , pp. 1-39
    • Sendov, B.L.1
  • 13
    • 0039516709 scopus 로고
    • Certain questions in the theory of approximation of functions and sets in the Hausdorff metric
    • BL. SENDOV (1969): Certain questions in the theory of approximation of functions and sets in the Hausdorff metric, Uspekhi Mat. Nauk, 24(5):141-178 (English translation (1969): Russian Math. Surveys, 24(5): 143-183).
    • (1969) Uspekhi Mat. Nauk , vol.24 , Issue.5 , pp. 141-178
    • Sendov, B.L.1
  • 14
    • 0040108377 scopus 로고
    • English translation
    • BL. SENDOV (1969): Certain questions in the theory of approximation of functions and sets in the Hausdorff metric, Uspekhi Mat. Nauk, 24(5):141-178 (English translation (1969): Russian Math. Surveys, 24(5): 143-183).
    • (1969) Russian Math. Surveys , vol.24 , Issue.5 , pp. 143-183
  • 16
    • 0040701965 scopus 로고
    • Integral Hausdorff distance
    • BL. SENDOV (1993): Integral Hausdorff distance. C. R. Acad. Bulgare Sci., 46(10):21-24.
    • (1993) C. R. Acad. Bulgare Sci. , vol.46 , Issue.10 , pp. 21-24
    • Sendov, B.L.1
  • 17
    • 0040108373 scopus 로고
    • On certain properties of the Hausdorff metric
    • in Russian
    • BL. SENDOV, V. A. POPOV (1970): On certain properties of the Hausdorff metric. Mathematica (Cluj), 8:163-172 (in Russian).
    • (1970) Mathematica (Cluj) , vol.8 , pp. 163-172
    • Sendov, B.L.1    Popov, V.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.