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'...

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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:	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
spelling	paper:paper_15224902_v2003-January_n_p109_Ruedin2023-06-08T16:19:24Z Estimating the joint spectral radius of a nonseparable multiwavelet Ruedin, Ana María Clara 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 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. Fil:Ruedin, A.M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2003 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
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
_version_	1768543576582520832

Estimating the joint spectral radius of a nonseparable multiwavelet

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