Self-similar and multiscaling functions of dimension r

In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by...

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Detalles Bibliográficos
Autores principales: Fabio, M., Serrano, E.
Formato: CONF
Materias:
Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Functions
Matrix algebra
Optical resolving power
Theorem proving
Vectors
Image analysis
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0277786X_v5207_n2_p930_Fabio
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0277786X_v5207_n2_p930_Fabio
record_format dspace
spelling todo:paper_0277786X_v5207_n2_p930_Fabio2023-10-03T15:16:26Z Self-similar and multiscaling functions of dimension r Fabio, M. Serrano, E. Causal functions Multiscaling functions Self-similar functions Two-scale relations Causal functions Multiscaling functions Self-similar functions Two-scale relations Functions Matrix algebra Optical resolving power Theorem proving Vectors Image analysis In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by T. Blu and M. Unser for the unidimensional case. Here, we will detail some definitions and will enunciate the main theorems for the r dimensional case. Fil:Serrano, E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0277786X_v5207_n2_p930_Fabio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Functions
Matrix algebra
Optical resolving power
Theorem proving
Vectors
Image analysis
spellingShingle Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Functions
Matrix algebra
Optical resolving power
Theorem proving
Vectors
Image analysis
Fabio, M.
Serrano, E.
Self-similar and multiscaling functions of dimension r
topic_facet Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Causal functions
Multiscaling functions
Self-similar functions
Two-scale relations
Functions
Matrix algebra
Optical resolving power
Theorem proving
Vectors
Image analysis
description In this work we will generalize results linking multiresolution analysis structures and vectorial spaces generated from integer shifts of self-similar or radial basis functions. This connection results of a remarkable relation between causal scaling and causal radial functions, recentely exposed by T. Blu and M. Unser for the unidimensional case. Here, we will detail some definitions and will enunciate the main theorems for the r dimensional case.
format CONF
author Fabio, M.
Serrano, E.
author_facet Fabio, M.
Serrano, E.
author_sort Fabio, M.
title Self-similar and multiscaling functions of dimension r
title_short Self-similar and multiscaling functions of dimension r
title_full Self-similar and multiscaling functions of dimension r
title_fullStr Self-similar and multiscaling functions of dimension r
title_full_unstemmed Self-similar and multiscaling functions of dimension r
title_sort self-similar and multiscaling functions of dimension r
url http://hdl.handle.net/20.500.12110/paper_0277786X_v5207_n2_p930_Fabio
work_keys_str_mv AT fabiom selfsimilarandmultiscalingfunctionsofdimensionr
AT serranoe selfsimilarandmultiscalingfunctionsofdimensionr
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