Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets

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...

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Detalles Bibliográficos
Autor principal:	Ruedin, Ana María Clara
Publicado:	2007
Materias:	Multiwavelets Nonseparable Orthogonal filterbank Polynomial reproduction Polyphase highpass filters Filter banks Image analysis Noise abatement Polynomial approximation Wavelet transforms
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin http://hdl.handle.net/20.500.12110/paper_03029743_v4678LNCS_n_p221_Ruedin
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_03029743_v4678LNCS_n_p221_Ruedin
record_format	dspace
spelling	paper:paper_03029743_v4678LNCS_n_p221_Ruedin2023-06-08T15:28:26Z Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets Ruedin, Ana María Clara Multiwavelets Nonseparable Orthogonal filterbank Polynomial reproduction Orthogonal filterbank Polynomial reproduction Polyphase highpass filters Filter banks Image analysis Noise abatement Polynomial approximation Wavelet transforms 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. Fil:Ruedin, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2007 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin http://hdl.handle.net/20.500.12110/paper_03029743_v4678LNCS_n_p221_Ruedin
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Multiwavelets Nonseparable Orthogonal filterbank Polynomial reproduction Orthogonal filterbank Polynomial reproduction Polyphase highpass filters Filter banks Image analysis Noise abatement Polynomial approximation Wavelet transforms
spellingShingle	Multiwavelets Nonseparable Orthogonal filterbank Polynomial reproduction Orthogonal filterbank Polynomial reproduction Polyphase highpass filters Filter banks Image analysis Noise abatement Polynomial approximation Wavelet transforms Ruedin, Ana María Clara Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
topic_facet	Multiwavelets Nonseparable Orthogonal filterbank Polynomial reproduction Orthogonal filterbank Polynomial reproduction Polyphase highpass filters Filter banks Image analysis Noise abatement Polynomial approximation Wavelet transforms
description	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.
author	Ruedin, Ana María Clara
author_facet	Ruedin, Ana María Clara
author_sort	Ruedin, Ana María Clara
title	Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
title_short	Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
title_full	Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
title_fullStr	Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
title_full_unstemmed	Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
title_sort	polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets
publishDate	2007
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v4678LNCS_n_p221_Ruedin http://hdl.handle.net/20.500.12110/paper_03029743_v4678LNCS_n_p221_Ruedin
work_keys_str_mv	AT ruedinanamariaclara polyphasefilterandpolynomialreproductionconditionsfortheconstructionofsmoothbidimensionalmultiwavelets
_version_	1768544729621856256

Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets

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