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Orthogonal bases of piecewise polynomial smooth functions on arbitrary partitions are constructed using techniques developed by the authors for constructing orthogonal multiwavelets. These bases are generated by a small number of functions that are translated and scaled to each of the intervals in the partition.
George C. Donovan,Jeffrey S. Geronimo, andDouglas P. Hardin
"Squeezable orthogonal bases and adaptive least squares", Proc. SPIE 3169, Wavelet Applications in Signal and Image Processing V, (30 October 1997); https://doi.org/10.1117/12.292816
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George C. Donovan, Jeffrey S. Geronimo, Douglas P. Hardin, "Squeezable orthogonal bases and adaptive least squares," Proc. SPIE 3169, Wavelet Applications in Signal and Image Processing V, (30 October 1997); https://doi.org/10.1117/12.292816