Wavelets on the 2-Hyperboloid

We build wavelets on the 2-Hyperboloid. First, we define dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to $SO_0(1,2)$, we define a family of hyperbolic wavelets. The continuous wavelet transform (CWT)is obtained by convolution of the scaled wavelets with the signal. This wavelet transform is proved to be invertible whenever wavelets satisfy a particular admissibility condition. Finally, the Euclidean limit of this CWT on the hyperboloid is considered.


Year:
2004
Publisher:
Ecublens
Keywords:
Note:
ITS
Laboratories:




 Record created 2006-06-14, last modified 2018-01-27

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