Harmonic spline series representation of scaling functions

Thierry Blu; Michael A. Unser

doi:10.1117/12.507293

13 November 2003 Harmonic spline series representation of scaling functions

Thierry Blu, Michael A. Unser

Proceedings Volume 5207, Wavelets: Applications in Signal and Image Processing X; (2003) https://doi.org/10.1117/12.507293
Event: Optical Science and Technology, SPIE's 48th Annual Meeting, 2003, San Diego, California, United States

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.

Citation Download Citation

Thierry Blu and Michael A. Unser "Harmonic spline series representation of scaling functions", Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); https://doi.org/10.1117/12.507293

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