Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets

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 filterban...

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Detalles Bibliográficos
Autor principal: Ruedin, A.M.C.
Formato: SER
Materias:
Balancing
Multiwavelets
Nonseparable
Polynomial reproduction
Quincunx
Mathematical proof
Matrix filters
Multi-wavelets
Multiwavelet
Orthogonality
Computer vision
Signal reconstruction
Polynomial approximation
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_03029743_v5807LNCS_n_p54_Ruedin
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_03029743_v5807LNCS_n_p54_Ruedin
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spelling todo:paper_03029743_v5807LNCS_n_p54_Ruedin2023-10-03T15:19:11Z Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets Ruedin, A.M.C. Balancing Multiwavelets Nonseparable Polynomial reproduction Quincunx Mathematical proof Matrix filters Multi-wavelets Multiwavelet Nonseparable Orthogonality Computer vision Signal reconstruction Polynomial approximation 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. Fil:Ruedin, A.M.C. 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_v5807LNCS_n_p54_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 Balancing
Multiwavelets
Nonseparable
Polynomial reproduction
Quincunx
Mathematical proof
Matrix filters
Multi-wavelets
Multiwavelet
Nonseparable
Orthogonality
Computer vision
Signal reconstruction
Polynomial approximation
spellingShingle Balancing
Multiwavelets
Nonseparable
Polynomial reproduction
Quincunx
Mathematical proof
Matrix filters
Multi-wavelets
Multiwavelet
Nonseparable
Orthogonality
Computer vision
Signal reconstruction
Polynomial approximation
Ruedin, A.M.C.
Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
topic_facet Balancing
Multiwavelets
Nonseparable
Polynomial reproduction
Quincunx
Mathematical proof
Matrix filters
Multi-wavelets
Multiwavelet
Nonseparable
Orthogonality
Computer vision
Signal reconstruction
Polynomial approximation
description 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.
format SER
author Ruedin, A.M.C.
author_facet Ruedin, A.M.C.
author_sort Ruedin, A.M.C.
title Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
title_short Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
title_full Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
title_fullStr Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
title_full_unstemmed Theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
title_sort theorems relating polynomial approximation, orthogonality and balancing conditions for the design of nonseparable bidimensional multiwavelets
url http://hdl.handle.net/20.500.12110/paper_03029743_v5807LNCS_n_p54_Ruedin
work_keys_str_mv AT ruedinamc theoremsrelatingpolynomialapproximationorthogonalityandbalancingconditionsforthedesignofnonseparablebidimensionalmultiwavelets
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