Geodesic
Lifting modifications of spline wavelets with unshifted and shifted supports
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVII, Tome 534 (2024), pp. 107-127

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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. 
@article{ZNSL_2024_534_a4,
     author = {A. A. Makarov and S. V. Makarova},
     title = {Lifting modifications of spline wavelets with unshifted and shifted supports},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {107--127},
     publisher = {mathdoc},
     volume = {534},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2024_534_a4/}
}
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A. A. Makarov; S. V. Makarova. Lifting modifications of spline wavelets with unshifted and shifted supports. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXVII, Tome 534 (2024), pp. 107-127. http://geodesic.mathdoc.fr/item/ZNSL_2024_534_a4/