Abstract:
In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by T. Blu and M. Unser for the unidimensional case. Here, we will detail some definitions and will enunciate the main theorems for the r dimensional case.
Registro:
Documento: |
Conferencia
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Título: | Self-similar and multiscaling functions of dimension r |
Autor: | Fabio, M.; Serrano, E. |
Ciudad: | San Diego, CA |
Filiación: | Esc. de Ciencia y Tecnología, UNSAM, Argentina Fac. de Ciencias Exactas y Naturales, UBA, Argentina
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Palabras clave: | Causal functions; Multiscaling functions; Self-similar functions; Two-scale relations; Causal functions; Multiscaling functions; Self-similar functions; Two-scale relations; Functions; Matrix algebra; Optical resolving power; Theorem proving; Vectors; Image analysis |
Año: | 2003
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Volumen: | 5207
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Número: | 2
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Página de inicio: | 930
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Página de fin: | 935
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Título revista: | Wavelets: Applications in Signal and Image Processing X
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Título revista abreviado: | Proc SPIE Int Soc Opt Eng
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ISSN: | 0277786X
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CODEN: | PSISD
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio |
Referencias:
- Aldroubi, A., Oblique and hierarchical multiwavelet bases (1997) Appl. Comp. Harmonic Analysis, 4 (3)
- Blu, T., Unser, M., Wavelets, Fractal, and Radial Basis Funtions (2002) IEEE Trans, on Signal Process, 50 (3)
- Cammilleri, A., Serrano, E., Multiresolutian Structures Generated by Spline Multiscaling Functions (2000) Wavelet Applications in Signal and Image Processing VIII, 3813. , M. Unser, A. Aldroubi and A. Laine Eds., San Diego
- Hervé, L., Multiresoltion Analysis of multiplicity d: Applications to Dyadic Interpolation (1994) Appl. Comp. Harmonic Analysis, (1)
- Unser, M., Blu, T., Wavelets and Radial Basis Functions: A Unifying Perspective (2000) Wavelet Applications in Signal and Image Processing VIII, 3813. , M. Unser, A. Aldroubi and A. Laine Eds., San DiegoA4 - SPIE
Citas:
---------- APA ----------
Fabio, M. & Serrano, E.
(2003)
. Self-similar and multiscaling functions of dimension r. Wavelets: Applications in Signal and Image Processing X, 5207(2), 930-935.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio [ ]
---------- CHICAGO ----------
Fabio, M., Serrano, E.
"Self-similar and multiscaling functions of dimension r"
. Wavelets: Applications in Signal and Image Processing X 5207, no. 2
(2003) : 930-935.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio [ ]
---------- MLA ----------
Fabio, M., Serrano, E.
"Self-similar and multiscaling functions of dimension r"
. Wavelets: Applications in Signal and Image Processing X, vol. 5207, no. 2, 2003, pp. 930-935.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio [ ]
---------- VANCOUVER ----------
Fabio, M., Serrano, E. Self-similar and multiscaling functions of dimension r. Proc SPIE Int Soc Opt Eng. 2003;5207(2):930-935.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio [ ]