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Computational and algorithmic aspects of cardinal spline-wavelets

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Approximation Theory and its Applications

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.

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Author notes

  1. Wang Jianzhong

    Present address: Department of Mathematics, Wuhan University, 430072, Wuhan, Hubei, P.R. of China

Authors and Affiliations

  1. Department of Mathematics, Texas A&M University, 77843, College Station, TX, USA

    C. K. Chui & Wang Jianzhong

Authors
  1. C. K. Chui
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  2. Wang Jianzhong
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Additional information

Research supported by NSF Grant DMS 89-0-01345 and ARO Contract No. DAAL 03-90-G-0091.

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Chui, C.K., Jianzhong, W. Computational and algorithmic aspects of cardinal spline-wavelets. Approx. Theory & its Appl. 9, 53–75 (1993). https://doi.org/10.1007/BF02836151

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  • DOI: https://doi.org/10.1007/BF02836151

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