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Level-dependent interpolatory hermite subdivision schemes and wavelets

 
: Cotronei, M.; Moosmüller, C.; Sauer, T.; Sissouno, N.

:

Constructive approximation 50 (2019), Nr.2, S.341-366
ISSN: 0176-4276 (Print)
ISSN: 1432-0940 (Online)
Englisch
Zeitschriftenaufsatz
Fraunhofer IIS ()

Abstract
We study many properties of level-dependent Hermite subdivision, focusing on schemes preserving polynomial and exponential data. We specifically consider interpolatory schemes, which give rise to level-dependent multiresolution analyses through a prediction-correction approach. A result on the decay of the associated multiwavelet coefficients, corresponding to a uniformly continuous and differentiable function, is derived. It makes use of the approximation of any such function with a generalized Taylor formula expressed in terms of polynomials and exponentials.

: http://publica.fraunhofer.de/dokumente/N-515629.html