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Abstract:

In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techinques, but elemental properties of the truncated power functions. The double - scale or refinement relationship is demonstrated again from the autosimilarity property of these functions.

Registro:

Documento: Conferencia
Título:A construction of multiscaling functions for deficient spline spaces
Autor:Serrano, E.P.; Cammilleri, A.
Ciudad:San Diego, CA
Filiación:Escuela de Ciencia y Tecnología, UNSAM, Argentina
Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, UBA, Argentina
Departamento de Matemática, Facultad de Ingeniería, UBA, Argentina
Palabras clave:Multiresolution analysis; Multiscaling functions; Piecewise polynomials with multiple knots; Vector of refinable spline functions; Multiresolution analysis; Multiscaling functions; Vector of refinable spline functions; Fourier transforms; Integer programming; Polynomials; Vectors; Functions
Año:2005
Volumen:5914
Página de inicio:1
Página de fin:8
DOI: http://dx.doi.org/10.1117/12.613088
Título revista:Wavelets XI
Título revista abreviado:Proc SPIE Int Soc Opt Eng
ISSN:0277786X
CODEN:PSISD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5914_n_p1_Serrano

Referencias:

  • Blu, T., Splines: A perfect fit for signal and image processing (1999) IEEE Signal and Image Processing Mag., 16 (6)
  • Dyn, N., A construction of biorthogonal functions to B-splines with multiple knots (2000) Applied and Computational Harmonic Analysis, 8
  • Donovan, G., Geronimo, J., Hardin, D., (2000) Sqeezable, Orthogonal Basis and Adaptive Least Squares, , preprint
  • Goodman, T., Lee, S., Refinable vector of spline functions (1998) Mathematical Methods for Curves and Surfaces II, , M. Daelen et al eds., Vandelbilt Univ. Press
  • Ichige, K., Blu, T., Unser, M., (2002) Interpolation of Signals by Generalized Piecewise Linear Multiple Generators, , preprint
  • Oh, H., Lee, T., Hybrid local polynomial wavelet shrinkage: Wavelet regression with automatic boundary adjustement (2005) Computational Statiastics and Data Analysis, 48
  • Schonberg, I., (1993) Cardinal Spline Interpolation, , SIAM, Philadelphia
  • Thevenaz, P., Blu, T., Unser, M., Interpolation revisited (2000) IEEE Transactions on Medical Imaging, 19 (7)
  • 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 - The International Society for Optical Engineering

Citas:

---------- APA ----------
Serrano, E.P. & Cammilleri, A. (2005) . A construction of multiscaling functions for deficient spline spaces. Wavelets XI, 5914, 1-8.
http://dx.doi.org/10.1117/12.613088
---------- CHICAGO ----------
Serrano, E.P., Cammilleri, A. "A construction of multiscaling functions for deficient spline spaces" . Wavelets XI 5914 (2005) : 1-8.
http://dx.doi.org/10.1117/12.613088
---------- MLA ----------
Serrano, E.P., Cammilleri, A. "A construction of multiscaling functions for deficient spline spaces" . Wavelets XI, vol. 5914, 2005, pp. 1-8.
http://dx.doi.org/10.1117/12.613088
---------- VANCOUVER ----------
Serrano, E.P., Cammilleri, A. A construction of multiscaling functions for deficient spline spaces. Proc SPIE Int Soc Opt Eng. 2005;5914:1-8.
http://dx.doi.org/10.1117/12.613088