Estimating the joint spectral radius of a nonseparable multiwavelet

The joint spectral radius ρ of 2 matrices is related to the boundedness of all their products. Calculating ρ is known to be NP-hard. In this work we estimate the joint spectral radius associated to a bidimensional separable multiwavelet, in order to analyze its Hölder continuity. To the author'...

Descripción completa

Detalles Bibliográficos
Autor principal: Ruedin, Ana María Clara
Publicado: 2003
Materias:
Joint spectral radius
Magnification
Multiwavelet
Nonseparable
Image processing
Basis functions
Image magnification
Image synthesis
Multi-wavelet transform
Matrix algebra
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15224902_v2003-January_n_p109_Ruedin
http://hdl.handle.net/20.500.12110/paper_15224902_v2003-January_n_p109_Ruedin
Aporte de:
Aportado por : Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires .
id paper:paper_15224902_v2003-January_n_p109_Ruedin
record_format dspace
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Joint spectral radius
Magnification
Multiwavelet
Nonseparable
Image processing
Basis functions
Image magnification
Image synthesis
Joint spectral radius
Magnification
Multi-wavelet transform
Multiwavelet
Nonseparable
Matrix algebra
spellingShingle Joint spectral radius
Magnification
Multiwavelet
Nonseparable
Image processing
Basis functions
Image magnification
Image synthesis
Joint spectral radius
Magnification
Multi-wavelet transform
Multiwavelet
Nonseparable
Matrix algebra
Ruedin, Ana María Clara
Estimating the joint spectral radius of a nonseparable multiwavelet
topic_facet Joint spectral radius
Magnification
Multiwavelet
Nonseparable
Image processing
Basis functions
Image magnification
Image synthesis
Joint spectral radius
Magnification
Multi-wavelet transform
Multiwavelet
Nonseparable
Matrix algebra
description The joint spectral radius ρ of 2 matrices is related to the boundedness of all their products. Calculating ρ is known to be NP-hard. In this work we estimate the joint spectral radius associated to a bidimensional separable multiwavelet, in order to analyze its Hölder continuity. To the author's knowledge this has not been done. The analysis aims at testing the aplicability of the multiwavelet transform to those aspects of image processing where continuous basis functions perform best, such as image synthesis, image magnification and image compression. We adapt an algorithm due to Heil and Colella, that works for unidimensional wavelets, to our more complex setting, to prove that ρ < 1 , and show the performance of the multiwavelet for image magnification. © 2003 IEEE.
author Ruedin, Ana María Clara
author_facet Ruedin, Ana María Clara
author_sort Ruedin, Ana María Clara
title Estimating the joint spectral radius of a nonseparable multiwavelet
title_short Estimating the joint spectral radius of a nonseparable multiwavelet
title_full Estimating the joint spectral radius of a nonseparable multiwavelet
title_fullStr Estimating the joint spectral radius of a nonseparable multiwavelet
title_full_unstemmed Estimating the joint spectral radius of a nonseparable multiwavelet
title_sort estimating the joint spectral radius of a nonseparable multiwavelet
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15224902_v2003-January_n_p109_Ruedin
http://hdl.handle.net/20.500.12110/paper_15224902_v2003-January_n_p109_Ruedin
work_keys_str_mv AT ruedinanamariaclara estimatingthejointspectralradiusofanonseparablemultiwavelet
bdutipo_str Repositorios
_version_ 1764820567363420160

Ejemplares similares