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Shift-orthogonal wavelet bases using splines

delete1996-03-01
delete14
PRE
AI
M
Michaël Unser *
P
P. Thévenaz
A
Akram Aldroubi
DOI：10.1109/97.481163delete
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Abstract

Abstract

En 中文
We present examples of a new type of wavelet basis functions that are orthogonal across shifts but not across scales. The analysis functions are piecewise linear while the synthesis functions are polynomial splines of degree n (odd). 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 transformations are almost orthogonal, may be useful for image coding applications.
Keywords:
MULTIRESOLUTION

Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

No organization information available