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<p>The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.</p>

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Lifting Modifications of Spline Wavelets with Unshifted and Shifted Supports

  • 期刊论文

  • 发表日期：

    2025年3月1日

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  • A. A. Makarov,
  • S. V. Makarova

摘要

The paper considers systems of embedded spaces of minimal splines on nonuniform grids. In order to improve the averaging properties of spline wavelets with unshifted and shifted supports, lifting modifications using a linear combination of scaling functions of a coarser or the same resolution level are applied. Simple decomposition and reconstruction formulas, which allow for an efficient computer implementation, are obtained.