Commutation for Irregular Subdivision

Ingrid Daubechies       Igor Guskov       Wim Sweldens


Abstract: We present a generalization of Lemarié's commutation formula to irregular subdivision schemes and wavelets. We show how in the non-interpolating 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.

Status: Constructive Approximation, Vol. 15, Nr. 3, pp. 381-426, 2001

BiBTeX entry: 


   @article{dgs:commut,
    author = {I. Daubechies and I. Guskov and W. Sweldens},
    title = {Commutation for Irregular Subdivision},
    journal = {Constr. Approx.},
    year = {2001},
    pages = {381-426},
    volume = 15,
    number = 3
   }
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Note: This paper is a follow-up from an earlier paper "Regularity of Irregular Subdivision.''