Cardinal B-spline dictionaries on a compact interval

A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space....

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Bibliographic Details
Published in:arXiv.org 2005-01
Main Authors: Andrle, Miroslav, Rebollo-Neira, Laura
Format: Article
Language:English
Subjects:
B spline functions
Basis functions
Dictionaries
Knots
Online Access:Get full text
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Summary:A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space. This implies that cardinal spline spaces on a compact interval can be spanned by dictionaries of cardinal B-spline functions of broader support that the corresponding basis function.
ISSN:2331-8422