Generalized Spline Wavelets

Plonka, G.
January 1996
Constructive Approximation;1996, Vol. 12 Issue 1, p127
Academic Journal
A generalized multiresolution of multiplicity r, generated by r linearly independent spline functions with multiple knots, is introduced. With the help of the autocorrelation symbol and the two-scale symbol of the scaling functions, spline wavelets with multiple knots can be completely characterized. New decomposition and reconstruction algorithms, based on the Fourier technique, are presented.


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