Computational and algorithmic aspects of cardinal spline-wavelets |
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Authors: | C K Chui Wang Jianzhong |
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Institution: | (1) Department of Mathematics, Texas A&M University, 77843 College Station, TX, USA;(2) Present address: Department of Mathematics, Wuhan University, 430072 Wuhan, Hubei, P.R. of China |
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Abstract: | Pascal triangles are formulated for computing the coefficients of the B-spline series representation of the compactly supported
spline-wavelets with minimum support and their derivatives. It is shown that with the alternating signs removed, all these
sequences are totally positive. On the other hand, truncations of the reciprocal Euler-Frobenius polynomials lead to finite
sequences for orthogonal wavelet decompositions. For this purpose, sharp estimates are given in terms of the exact reconstruction
of these approximate decomposed components.
Research supported by NSF Grant DMS 89-0-01345 and ARO Contract No. DAAL 03-90-G-0091. |
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Keywords: | |
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