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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| Autores principales: | , |
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2005
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5914_n_p1_Serrano http://hdl.handle.net/20.500.12110/paper_0277786X_v5914_n_p1_Serrano |
| Aporte de: |
| Sumario: | 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. |
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