A construction of multiscaling functions for deficient spline spaces
In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano |
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todo:paper_0277786X_v5914_n_p1_Serrano2023-10-03T15:16:34Z A construction of multiscaling functions for deficient spline spaces Serrano, E.P. Cammilleri, A. Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techinques, but elemental properties of the truncated power functions. The double - scale or refinement relationship is demonstrated again from the autosimilarity property of these functions. Fil:Serrano, E.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cammilleri, A. 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_v5914_n_p1_Serrano |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions |
| spellingShingle |
Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions Serrano, E.P. Cammilleri, A. A construction of multiscaling functions for deficient spline spaces |
| topic_facet |
Multiresolution analysis Multiscaling functions Piecewise polynomials with multiple knots Vector of refinable spline functions Multiresolution analysis Multiscaling functions Vector of refinable spline functions Fourier transforms Integer programming Polynomials Vectors Functions |
| description |
In this work we attempt to analize the structure of the classes of deficient spline functions, that is, the ones generated by traslations on the integers of the truncated power functions. Since these classes are correlated with multiresolution structures, the main pourpose of this presentation is to design vector scaling functions, with minimal support. For this, we do not apply Fourier techinques, but elemental properties of the truncated power functions. The double - scale or refinement relationship is demonstrated again from the autosimilarity property of these functions. |
| format |
CONF |
| author |
Serrano, E.P. Cammilleri, A. |
| author_facet |
Serrano, E.P. Cammilleri, A. |
| author_sort |
Serrano, E.P. |
| title |
A construction of multiscaling functions for deficient spline spaces |
| title_short |
A construction of multiscaling functions for deficient spline spaces |
| title_full |
A construction of multiscaling functions for deficient spline spaces |
| title_fullStr |
A construction of multiscaling functions for deficient spline spaces |
| title_full_unstemmed |
A construction of multiscaling functions for deficient spline spaces |
| title_sort |
construction of multiscaling functions for deficient spline spaces |
| url |
http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano |
| work_keys_str_mv |
AT serranoep aconstructionofmultiscalingfunctionsfordeficientsplinespaces AT cammilleria aconstructionofmultiscalingfunctionsfordeficientsplinespaces AT serranoep constructionofmultiscalingfunctionsfordeficientsplinespaces AT cammilleria constructionofmultiscalingfunctionsfordeficientsplinespaces |
| _version_ |
1807317133115260928 |