A construction of multiscaling functions for deficient spline spaces

Eduardo P. Serrano; Ada Cammilleri

doi:10.1117/12.613088

17 September 2005 A construction of multiscaling functions for deficient spline spaces

Eduardo P. Serrano, Ada Cammilleri

Proceedings Volume 5914, Wavelets XI; 59140D (2005) https://doi.org/10.1117/12.613088
Event: Optics and Photonics 2005, 2005, San Diego, California, United States

Abstract

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 techniques, but elemental properties of the truncated power functions. The double-scale or refinement relationship is demonstrated again from the autosimilarity property of these functions.

Citation Download Citation

Eduardo P. Serrano and Ada Cammilleri "A construction of multiscaling functions for deficient spline spaces", Proc. SPIE 5914, Wavelets XI, 59140D (17 September 2005); https://doi.org/10.1117/12.613088

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