Construction of shift-orthogonal wavelets using splines
Michael A. Unser, P. Thévenaz, Akram Aldroubi · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996
We present examples of a new type of wavelet basis functions that are orthogonal across shifts, but not across scales. The analysis functions are low order splines while the synthesis functions are polynomial splines of higher degree n2. The approximation power of these representations is essentially as good as that of the corresponding Battle- Lemarie orthogonal wavelet transform, with the difference that the present wavelet synthesis filters have a much faster decay. This last property, together with the fact that these transformation s are almost orthogonal, may be useful for image coding and data compression.