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Stereographic Wavelet Frames on the Sphere
research article
In this paper we exploit the Continuous Wavelet Transform (CWT) on the two dimensional sphere, introduced previously by two of us, to build associated Discrete Wavelet Frames. We first explore half-continuous frames, i.e., frames where the position remains a continuous variable, and then move on to a fully discrete theory. We introduce the notion of controlled frames, which reflects the particular nature of the underlying theory, in particular the apparent conflict between dilation and the compactness of the $S^2$ manifold. We also highlight some implementation issues and provide numerical illustrations.
Type
research article
Web of Science ID
WOS:000231764700004
Author(s)
Date Issued
2005
Published in
Volume
19
Issue
2
Start page
223
End page
252
Peer reviewed
REVIEWED
Written at
EPFL
EPFL units
Available on Infoscience
June 14, 2006
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