Conferencia

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Abstract:

The performance of a balanced, nonseparable orthogonal multiwavelet for edge detection is analized. We present two alternative methods to meet this objective: in the first one the normed fine detail coefficients of the multiwavelet transform are thresholded, in the other, we adapt the modulus maxima algorithm to nonseparable multiwavelets. Results are highly satisfactory.

Registro:

Documento: Conferencia
Título:A nonseparable multiwavelet for edge detection
Autor:Ruedin, A.M.C.
Ciudad:San Diego, CA
Filiación:Departamento de Computatión, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Argentina
Palabras clave:Edge; Modulus maxima; Multiwavelet; Nonseparable; Quincunx; Modulus maxima; Multiwavelet; Nonseparable; Quincunx; Algorithms; Functions; Information analysis; Mathematical models; Wavelet transforms; Image processing
Año:2003
Volumen:5207
Número:2
Página de inicio:700
Página de fin:709
Título revista:Wavelets: Applications in Signal and Image Processing X
Título revista abreviado:Proc SPIE Int Soc Opt Eng
ISSN:0277786X
CODEN:PSISD
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p700_Ruedin

Referencias:

  • Mallat, S., Zhong, S., Characterization of signals from multiscale edges (1992) IEEE Trans. Pattern Analysis Machine Intell., 14, pp. 710-732
  • Zhong, S., (1990) Edges Representation from Wavelet Transform Maxima, , PhD thesis, New York University, Sept
  • Cohen, A., Daubechies, I., Non-separable bidimensional wavelet bases (1993) Revista Matematica Iberoamericana, 9 (1), pp. 51-137
  • Kovacevic, J., Vetterli, M., Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for r n (1992) IEEE Transactions on Information Theory, 38 (2), pp. 533-555
  • Lebrun, J., Vetterli, M., Balanced multiwavelets: Theory and design (1998) IEEE Transactions on Signal Processing, 46 (4), pp. 1119-1125
  • Cotronei, M., Montefusco, L., Puccio, L., Multiwavelet analysis and signal processing IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, Special ISSUE on Multirate System, Filter Banks, Wavelets, and Applications, , to appear
  • Geronimo, J., Hardin, D., Massopust, P., Fractal functions and wavelet expansions based on several scaling functions (1994) Journal of Approximation Theory, 78, pp. 373-401
  • Lebrun, J., Vetterli, M., High order balanced multiwavelets (1998) Proc.IEEE Int. Conf. Accoust.Speech and Signal Processing
  • Ruedin, A., Nonseparable orthogonal multiwavelets with 2 and 3 vanishing moments on the quincunx grid (1999) Proceedings SPIE Wavelet Appl. Signal Image Proc. VII, 3813, pp. 455-466
  • Ruedin, A.M.C., Balanced nonseparable orthogonal multiwavelets with two and three vanishing moments on the quincunx grid (2000) Proceedings of SPIE, 4119, pp. 519-527. , Wavelet Applications in Signal and Image Processing VIII, A. Aldroubi, A. Laine, M. Unser, Editors
  • Ruedin, A.M.C., Construction of nonseparable multiwavelets for nonlinear image compression (2002) Eurasip Journal of Applied Signal Processing, 2002 (1), pp. 73-79
  • Ruedin, A.M.C., (2003) Nonseparable Multiwavelets: Construction and Applications to Image Processing, , PhD thesis, Universidad de Buenos Aires, May
  • Mallat, S., (1999) A Wavelet Tour of Signal Processing, , Academic PressA4 - SPIE

Citas:

---------- APA ----------
(2003) . A nonseparable multiwavelet for edge detection. Wavelets: Applications in Signal and Image Processing X, 5207(2), 700-709.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p700_Ruedin [ ]
---------- CHICAGO ----------
Ruedin, A.M.C. "A nonseparable multiwavelet for edge detection" . Wavelets: Applications in Signal and Image Processing X 5207, no. 2 (2003) : 700-709.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p700_Ruedin [ ]
---------- MLA ----------
Ruedin, A.M.C. "A nonseparable multiwavelet for edge detection" . Wavelets: Applications in Signal and Image Processing X, vol. 5207, no. 2, 2003, pp. 700-709.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p700_Ruedin [ ]
---------- VANCOUVER ----------
Ruedin, A.M.C. A nonseparable multiwavelet for edge detection. Proc SPIE Int Soc Opt Eng. 2003;5207(2):700-709.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p700_Ruedin [ ]