Special Issue: Perspectives in Quantum Field Theory, Statistical Mechanics and Stochastics — Festschrift Dedicated to Prof. Francesco Guerra on the Occasion of His 60th BirthdayNo Access

STOCHASTIC LEARNING OF FRACTAL IMAGES

LAURA M. MORATO

Università di Verona, Dipartimento di Informatica-Settore di Matematica, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy

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and

PAOLA SIRI

Università di Verona, Dipartimento di Informatica-Settore di Matematica, Ca' Vignal 2, Strada Le Grazie 15, 37134 Verona, Italy

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https://doi.org/10.1142/S0217979204024343Cited by:0 (Source: Crossref)

Abstract

Optimal compression and decompression of fractal images can be performed by out-of-equilibrium stochastic systems which exhibit a learning behaviour. We show how stochastic systems of this type are able to learn the structure of classical fractal images in a simple situation.

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References

S. Abenda, Inverse Problems 6(6), 885 (1990), DOI: 10.1088/0266-5611/6/6/002. Crossref, Web of Science, ADS, Google Scholar
M. F. Barnsley , Fractals Everywhere ( Academic Press , San Diego , 1988 ) . Google Scholar
M. F. Barnsley and P. H. Lyman , Fractal Image Compression ( AK Peters Ltd. , Wellesley , 1992 ) . Google Scholar
J. Elton, J. Erg. Th. Dyn. Sys. 7, 481 (1987). Crossref, Web of Science, Google Scholar
B. Forte and E. R. Vrscay Fractals 3(2), 325 (1994); 3(2), 335 (1994) . Google Scholar
B. Forte and E. R. Vrscay, Adv. Appl. Prob. 3(27), 800 (1995), DOI: 10.2307/1428134. Google Scholar
E. Luttonet al., Complex Systems 5(9), 375 (1995). Google Scholar
L. M. Morato , Note Integrative per il Corso di Processi Casuali a.a. 95/96, Corso di Laurea in Scienze dell'Informazione ( Università di Verona , 1995 ) . Google Scholar
L. M. Morato and P. Siri, Adv. Appl. Prob. 33, 423 (2001), DOI: 10.1239/aap/999188322. Crossref, Web of Science, Google Scholar
L. M. Morato and P. Siri, Bull. Braz. Mat. Soc. 33(3), 77 (2002). Web of Science, Google Scholar
L. M. Morato and P. Siri, J. Appl. Prob. 41, 1 (2004). Web of Science, Google Scholar
E. R. Vrscay, Fractal Geometry and Analysis 405, (1989). Google Scholar
E. R. Vrscay and C. J. Roehring, Computers and Mathematics 250, (1989). Google Scholar