Abstract.
We present a generalization of the commutation formula to irregular subdivision schemes and wavelets. We show how, in the noninterpolating case, the divided differences need to be adapted to the subdivision scheme. As an example we include the construction of an entire family of biorthogonal compactly supported irregular knot B-spline wavelets starting from Lagrangian interpolation.
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September 4, 1998. Date revised: July 27, 1999. Date accepted: November 16, 2000.
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Daubechies, I., Guskov, I. & Sweldens, W. Commutation for Irregular Subdivision. Constr. Approx. 17, 479–514 (2001). https://doi.org/10.1007/s00365-001-0001-0
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DOI: https://doi.org/10.1007/s00365-001-0001-0