Artículo
Cabrelli, C.A.; Falsetti, M.C.; Molter, U.M. "Fractal block-coding: A functional approach for image and signal processing" (2002) Computers and Mathematics with Applications. 44(8-9):1183-1200
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Abstract:
A mathematical setting, for a method of fractal block-coding of image functions was presented. The method was based on the notion of generalized self-similarity model. Block-coding techniques along with this functional model allowed, to take advantage of local redundancy of the images. It was shown that the generalized self-similarity model could be used for the coding and reconstruction of digital signals and images.
Registro:
| Documento: | Artículo |
| Título: | Fractal block-coding: A functional approach for image and signal processing |
| Autor: | Cabrelli, C.A.; Falsetti, M.C.; Molter, U.M. |
| Filiación: | Departamento de Matemática, FCEyN, Cdad. Universitaria Pab. i, (1428) Buenos Aires, Argentina CONICET, Consejo Nacional de Investigaciones Científicas y Tecnológicas, Argentina Instituto de Desarrollo Humano, Área de Matemática, Universidad Nacional de General Sarmiento, (1663) Roca 850, San Miguel, Argentina Departamento de Matemática, FCEyN, Cdad. Universitaria, Pab. i, (1428) Buenos Aires, Argentina CONICET, Consejo Nacional de Investigaciones Científicas y Tecnológicas, Argentina |
| Palabras clave: | Block-coding; Fixed points; Fractal compression; Functional equation; Grey-level functions; Self-similarity; Fractal compression; Approximation theory; Block codes; Digital signal processing; Fractals; Image reconstruction; Mathematical operators; Theorem proving; Image coding |
| Año: | 2002 |
| Volumen: | 44 |
| Número: | 8-9 |
| Página de inicio: | 1183 |
| Página de fin: | 1200 |
| DOI: | http://dx.doi.org/10.1016/S0898-1221(02)00225-0 |
| Título revista: | Computers and Mathematics with Applications |
| Título revista abreviado: | Comput Math Appl |
| ISSN: | 08981221 |
| CODEN: | CMAPD |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08981221_v44_n8-9_p1183_Cabrelli.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08981221_v44_n8-9_p1183_Cabrelli |
Referencias:
- Cabrelli, C., Molter, U., Generalized self-similarity (1999) Journal of Mathematical Analysis and Applications, 230, pp. 251-260
- Jacquin, A.E., (1989) Image coding based on a fractal theory of iterated contractive Markov operators, Parts I and II, , Georgia Tech. Ph.D. Thesis 091389-017
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- Forte, B., Vrscay, E., Theory of generalized fractal transform (1998) Fractal Image Encoding and Analysis, , NATO ASI Series F, (Edited by Y. Fisher), Springer-Verlag, Berlin
- Forte, B., Vrscay, E., Inverse problem methods for generalized fractal transform (1998) Fractal Image Encoding and Analysis, , NATO ASI Series F, (Edited by Y. Fisher), Springer-Verlag, Berlin
- Fisher, Y., Fractal image compression with quadtrees (1995) Fractal Image Compression, pp. 55-77. , (Edited by Y. Fisher) Springer-Verlag
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Citas:
---------- APA ----------
Cabrelli, C.A., Falsetti, M.C. & Molter, U.M. (2002) . Fractal block-coding: A functional approach for image and signal processing. Computers and Mathematics with Applications, 44(8-9), 1183-1200.http://dx.doi.org/10.1016/S0898-1221(02)00225-0
---------- CHICAGO ----------
Cabrelli, C.A., Falsetti, M.C., Molter, U.M. "Fractal block-coding: A functional approach for image and signal processing" . Computers and Mathematics with Applications 44, no. 8-9 (2002) : 1183-1200.http://dx.doi.org/10.1016/S0898-1221(02)00225-0
---------- MLA ----------
Cabrelli, C.A., Falsetti, M.C., Molter, U.M. "Fractal block-coding: A functional approach for image and signal processing" . Computers and Mathematics with Applications, vol. 44, no. 8-9, 2002, pp. 1183-1200.http://dx.doi.org/10.1016/S0898-1221(02)00225-0
---------- VANCOUVER ----------
Cabrelli, C.A., Falsetti, M.C., Molter, U.M. Fractal block-coding: A functional approach for image and signal processing. Comput Math Appl. 2002;44(8-9):1183-1200.http://dx.doi.org/10.1016/S0898-1221(02)00225-0
