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Proceedings Paper

Harmonic spline series representation of scaling functions
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Paper Abstract

We present here an explicit time-domain representation of any compactly supported dyadic scaling function as a sum of harmonic splines. The leading term in the decomposition corresponds to the fractional splines that have recently been defined by the authors as a continuous-order generalization of the polynomial splines.

Paper Details

Date Published: 13 November 2003
PDF: 5 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.507293
Show Author Affiliations
Thierry Blu, Ecole Polytechnique Federale de Lausanne (Switzerland)
Michael A. Unser, Ecole Polytechnique Federale de Lausanne (Switzerland)


Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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