Interpolating Cubic Spline Wavelet Packet on Arbitrary Partitions |
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Authors: | Jianzhong Wang |
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Institution: | (1) Department of Mathematics and Statistics, Sam Houston State University, Huntsville, Texas, 77341 |
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Abstract: | In many applications, the splines on an arbitrary partition are very useful. In this paper, a spline wavelet structure is created in the way that it provides a multiresolution approximation of the spline subspaces with arbitrary partition in the space of continuous functions on a finite interval. Based on the wavelet basis and the wavelet packet in this structure, a multi-level interpolation method is developed for decomposing a function into wavelet series and reconstructing it from its wavelet representation. |
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Keywords: | Splines wavelets wavelet packets interpolation arbitrary partitions |
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