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Abstract:

To construct a very smooth nonseparable multiscaling function, we impose polynomial approximation order 2 and add new conditions on the polyphase highpass filters. We work with a dilation matrix generating quincunx lattices, and fix the index set. Other imposed conditions are orthogonal filter bank and balancing. We construct a smooth, compactly supported multiscaling function and multiwavelet, and test the system on a noisy image with good results. © Springer-Verlag Berlin Heidelberg 2007.

Registro:

Documento: Artículo
Título:Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
Autor:Ruedin, A.
Ciudad:Delft
Filiación:Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pab. I, CP 1428, Ciudad de Buenos Aires, Argentina
Palabras clave:Multiwavelets; Nonseparable; Orthogonal filterbank; Polynomial reproduction; Orthogonal filterbank; Polynomial reproduction; Polyphase highpass filters; Filter banks; Image analysis; Noise abatement; Polynomial approximation; Wavelet transforms
Año:2007
Volumen:4678 LNCS
Página de inicio:221
Página de fin:232
Título revista:9th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2007
Título revista abreviado:Lect. Notes Comput. Sci.
ISSN:03029743
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin

Referencias:

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  • Lawton, W., Lee, S., Shen, Z., Stability and orthonormality of multivariate refinable functions (1997) SIAM J. Math. Anal, 28, pp. 999-1014
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  • Ruedin, A.M.C., Balanced nonseparable orthogonal multiwavelets with two and three vanishing moments on the quincunx grid. Wavelet Appl (2000) Signal Image Proc, 8, pp. 519-527. , Proc. SPIE 4119
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Citas:

---------- APA ----------
(2007) . Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets. 9th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2007, 4678 LNCS, 221-232.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin [ ]
---------- CHICAGO ----------
Ruedin, A. "Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets" . 9th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2007 4678 LNCS (2007) : 221-232.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin [ ]
---------- MLA ----------
Ruedin, A. "Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets" . 9th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2007, vol. 4678 LNCS, 2007, pp. 221-232.
Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin [ ]
---------- VANCOUVER ----------
Ruedin, A. Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets. Lect. Notes Comput. Sci. 2007;4678 LNCS:221-232.
Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin [ ]