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Abstract:

We relate different properties of nonseparable quincunx multiwavelet systems, such as polynomial approximation order, orthonormality and balancing, to conditions on the matrix filters. We give mathematical proofs for these relationships. The results obtained are necessary conditions on the filterbank. This simplifies the design of such systems. © 2009 Springer Berlin Heidelberg.

Registro:

Documento: Artículo
Título:Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
Autor:Ruedin, A.M.C.
Ciudad:Bordeaux
Filiación:Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I., Ciudad de Buenos Aires CP 1428, Argentina
Palabras clave:Balancing; Multiwavelets; Nonseparable; Polynomial reproduction; Quincunx; Mathematical proof; Matrix filters; Multi-wavelets; Multiwavelet; Nonseparable; Orthogonality; Computer vision; Signal reconstruction; Polynomial approximation
Año:2009
Volumen:5807 LNCS
Página de inicio:54
Página de fin:65
DOI: http://dx.doi.org/10.1007/978-3-642-04697-1_6
Título revista:11th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2009
Título revista abreviado:Lect. Notes Comput. Sci.
ISSN:03029743
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v5807LNCS_n_p54_Ruedin

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Citas:

---------- APA ----------
(2009) . Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets. 11th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2009, 5807 LNCS, 54-65.
http://dx.doi.org/10.1007/978-3-642-04697-1_6
---------- CHICAGO ----------
Ruedin, A.M.C. "Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets" . 11th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2009 5807 LNCS (2009) : 54-65.
http://dx.doi.org/10.1007/978-3-642-04697-1_6
---------- MLA ----------
Ruedin, A.M.C. "Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets" . 11th International Conference on Advanced Concepts for Intelligent Vision Systems, ACIVS 2009, vol. 5807 LNCS, 2009, pp. 54-65.
http://dx.doi.org/10.1007/978-3-642-04697-1_6
---------- VANCOUVER ----------
Ruedin, A.M.C. Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets. Lect. Notes Comput. Sci. 2009;5807 LNCS:54-65.
http://dx.doi.org/10.1007/978-3-642-04697-1_6