Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids (Q2388181)
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| Language | Label | Description | Also known as |
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| English | Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids |
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Use of divided differences and B splines for constructing fast discrete transforms of wavelet type on nonuniform grids (English)
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8 September 2005
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The author constructs nonstandard (not necessarily orthogonal) spline wavelets on a nonuniform grid of a compact interval. These wavelets are defined as linear combinations of B-splines on two different grids. This method is similar to a lifting scheme. The unknown wavelet coefficients are chosen so that these wavelets have a prescribed number of vanishing moments, where the moments of B-splines are computed by divided differences. An application to matrix compression is given.
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spline wavelet
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wavelet
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B-spline
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divided differences
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nonuniform grid
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lifting scheme
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lifting coefficients
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matrix compression
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