13 November 2003 Projection operators on piecewise polynomial spaces
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Abstract
We propose an approximation scheme on representation spaces which elements are piecewise polynomial functions, with deficient regularity on a pre-established grid of knots. We characterize these spaces, expose relevant properties and define appropriate bases. We design approximations methods based on orthogonal projections of a given signal, restricted to certain conditions, according with the regularity that is wished. We suggest applications for this procedure in the context of signal processing.
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Ada Cammilleri, Ada Cammilleri, Eduardo P. Serrano, Eduardo P. Serrano, "Projection operators on piecewise polynomial spaces", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.515315; https://doi.org/10.1117/12.515315
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