17 September 2005 A construction of multiscaling functions for deficient spline spaces
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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.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Eduardo P. Serrano, Eduardo P. Serrano, Ada Cammilleri, Ada Cammilleri, } "A construction of multiscaling functions for deficient spline spaces", Proc. SPIE 5914, Wavelets XI, 59140D (17 September 2005); doi: 10.1117/12.613088; https://doi.org/10.1117/12.613088
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