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Construction of Dual Multiple Knot B-Spline Wavelets on Interval

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Abstract

The paper is concerned with the construction of biorthogonal multiple knot B-spline(MKBS) scaling functions and multiple knot B-spline wavelet (MKBSW) basis functions. The resulting bases are on the unit interval with the desired number of vanishing wavelet moments. Moreover, in order to be the same the general structure of MKBS and MKBSW basis functions, a new basis of MKBS is introduced. This arises a significant decrease in the computational costs.

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Authors and Affiliations

  1. Mathematics Department, University of Mazandaran, Babolsar, Iran

    Ali Tavakoli

  2. Mathematics Department, University of Hormozgan, Bandar Abbas, Iran

    Maryam Esmaeili

Authors
  1. Ali Tavakoli
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  2. Maryam Esmaeili
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Correspondence to Maryam Esmaeili.

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Communicated by Davod Khojasteh Salkuyeh.

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Tavakoli, A., Esmaeili, M. Construction of Dual Multiple Knot B-Spline Wavelets on Interval. Bull. Iran. Math. Soc. 45, 843–864 (2019). https://doi.org/10.1007/s41980-018-0169-8

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  • DOI: https://doi.org/10.1007/s41980-018-0169-8

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