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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Autor principal: Ruedin, A.
Formato: SER
Materias:
Multiwavelets
Nonseparable
Orthogonal filterbank
Polynomial reproduction
Polyphase highpass filters
Filter banks
Image analysis
Noise abatement
Polynomial approximation
Wavelet transforms
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03029743_v4678LNCS_n_p221_Ruedin
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_03029743_v4678LNCS_n_p221_Ruedin2023-10-03T15:19:00Z Polyphase filter and polynomial reproduction conditions for the construction of smooth bidimensional multiwavelets Ruedin, A. 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. SER info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, A.
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.
format SER
author Ruedin, A.
author_facet Ruedin, A.
author_sort Ruedin, A.
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
url http://hdl.handle.net/20.500.12110/paper_03029743_v4678LNCS_n_p221_Ruedin
work_keys_str_mv AT ruedina polyphasefilterandpolynomialreproductionconditionsfortheconstructionofsmoothbidimensionalmultiwavelets
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