Spline prewavelets for non-uniform knots |
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Authors: | Martin D Buhmann Charles A Micchelli |
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Institution: | (1) Department of Mathematical Sciences, IBM T.J. Watson Research Center, P.O. Box 218, 10598 Yorktown Heights, NY, USA;(2) Present address: Department of Applied Mathematics and Theoretical Physics, Silver Street, CB3 9EW Cambrige, UK |
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Abstract: | Summary In this paper, we develop a framework suitable for performing a multiresolution analysis using univariate spline spaces of arbitrary degree and with non-uniform knot-sequences. To this end, we show, among other things, the existence of compactly supported prewavelets and of prewavelets that are globally supported, but decay exponentially. In each case we obtain a decomposition of a fine spline space as a sum of a coarse spline space plus a spline space spanned by prewavelets. |
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Keywords: | 65D07 |
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