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Volumn 355, Issue 1726, 1997, Pages 1017-1062

On the inverse fractal problem for two-dimensional attractors

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EID: 3142541654     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0052     Document Type: Article
Times cited : (7)

References (25)
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  • 2
    • 0022421231 scopus 로고
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    • (1985) Proc. R. Soc. Lond. A , vol.399 , pp. 243-275
    • Barnsley, M.1    Demko, S.2
  • 9
    • 38249010691 scopus 로고
    • Iterated fuzzy set systems: A new approach to the inverse problem for fractals and other sets
    • Cabrelli, C. A., Forte, B., Molter, U. M. & Vrscay, E. R. 1992 Iterated fuzzy set systems: a new approach to the inverse problem for fractals and other sets. J. Math. Analyt. Appl. 171, 79-100.
    • (1992) J. Math. Analyt. Appl. , vol.171 , pp. 79-100
    • Cabrelli, C.A.1    Forte, B.2    Molter, U.M.3    Vrscay, E.R.4
  • 13
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    • Products of random matrices and computer image generation
    • Diaconis, P. M. & Shahshahani, M. 1986 Products of random matrices and computer image generation. Contempory Math. 50, 173-182.
    • (1986) Contempory Math. , vol.50 , pp. 173-182
    • Diaconis, P.M.1    Shahshahani, M.2
  • 15
    • 0010843256 scopus 로고
    • Inverse problems in fractal construction: Moment method solution
    • Handy, C. & Mantica, G. 1990 Inverse problems in fractal construction: moment method solution. Physica D 43, 17-36.
    • (1990) Physica D , vol.43 , pp. 17-36
    • Handy, C.1    Mantica, G.2
  • 16
    • 0001265433 scopus 로고
    • Fractals and selfsimilarity
    • Hutchinson, J. 1981 Fractals and selfsimilarity. Indiana Univ. J. Math. 30, 713-747.
    • (1981) Indiana Univ. J. Math. , vol.30 , pp. 713-747
    • Hutchinson, J.1
  • 17
    • 0002927685 scopus 로고
    • Chaotic optimization and the construction of fractals: Solution of an inverse problem
    • Mantica, G. & Sloan, A. 1989 Chaotic optimization and the construction of fractals: solution of an inverse problem. Complex Systems 3, 37-62.
    • (1989) Complex Systems , vol.3 , pp. 37-62
    • Mantica, G.1    Sloan, A.2
  • 20
    • 0024303437 scopus 로고
    • An image algorithm for computing the Hausdorff distance efficiently in linear time
    • Shonkwiler, R. 1989 An image algorithm for computing the Hausdorff distance efficiently in linear time. Inf. Proc. Lett. 30, 87-89.
    • (1989) Inf. Proc. Lett. , vol.30 , pp. 87-89
    • Shonkwiler, R.1
  • 21
    • 85020807314 scopus 로고
    • Preprint 14853, Mathematics Department, White Hall, Cornell University, Ithaca, NY
    • Strichartz, R. 1993 A fractal radon inversion problem. Preprint 14853, Mathematics Department, White Hall, Cornell University, Ithaca, NY.
    • (1993) A Fractal Radon Inversion Problem
    • Strichartz, R.1
  • 22
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    • Moment and collage methods for the inverse problem of fractal construction with iterated function systems
    • June 6-8
    • Vrscay, E. R. 1990a Moment and collage methods for the inverse problem of fractal construction with iterated function systems. In Fractal 90 Conf. Lisbon, June 6-8.
    • (1990) Fractal 90 Conf. Lisbon
    • Vrscay, E.R.1
  • 23
    • 0002478952 scopus 로고
    • Iterated function systems: Theory, applications and the inverse problem
    • Fractal geometry and analysis (ed. J. Belair & S. Dubuc) Montreal, Canada, 3-21 July 1989, Dordrecht: Kluwer
    • Vrscay, E. R. 1991b Iterated function systems: theory, applications and the inverse problem. In Fractal geometry and analysis (ed. J. Belair & S. Dubuc) Proc. of the NATO Advanced Study Institute, Montreal, Canada, 3-21 July 1989, pp. 405-468. Dordrecht: Kluwer.
    • (1991) Proc. of the NATO Advanced Study Institute , pp. 405-468
    • Vrscay, E.R.1
  • 24
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    • Moment and collage methods for the inverse problem of fractal construction with iterated function systems
    • (ed. H. O. Peitgen, J. M. Henriques & L. F. Penedo). Elsevier
    • Vrscay, E. R. 1991c Moment and collage methods for the inverse problem of fractal construction with iterated function systems. Fractals in the fundamental and applied sciences (ed. H. O. Peitgen, J. M. Henriques & L. F. Penedo). Elsevier.
    • (1991) Fractals in the Fundamental and Applied Sciences
    • Vrscay, E.R.1
  • 25
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    • Iterated function systems and the inverse problem of fractal construction using moments
    • (ed. E. Kaltofen & S. M. Watt), Springer
    • Vrscay, E. R. & Roehrig, C. J. 1989 Iterated function systems and the inverse problem of fractal construction using moments. Computers and mathematics (ed. E. Kaltofen & S. M. Watt), pp. 250-259. Springer.
    • (1989) Computers and Mathematics , pp. 250-259
    • Vrscay, E.R.1    Roehrig, C.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.