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
Autor principal: Serrano, Eduardo Pedro
Publicado: 2003
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:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio
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 paper:paper_0277786X_v5207_n2_p930_Fabio
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spelling paper:paper_0277786X_v5207_n2_p930_Fabio2023-06-08T15:26:19Z Self-similar and multiscaling functions of dimension r Serrano, Eduardo Pedro 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. 2003 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio 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
Serrano, Eduardo Pedro
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.
author Serrano, Eduardo Pedro
author_facet Serrano, Eduardo Pedro
author_sort Serrano, Eduardo Pedro
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
publishDate 2003
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5207_n2_p930_Fabio
http://hdl.handle.net/20.500.12110/paper_0277786X_v5207_n2_p930_Fabio
work_keys_str_mv AT serranoeduardopedro selfsimilarandmultiscalingfunctionsofdimensionr
_version_ 1768542838747824128

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