Discrete Wavelet Frames on the Sphere

In this paper the Continuous Wavelet Transform on the sphere is exploited to build the asociated Discrete Wavelet Frames. First, the half-continuous frames, i.e. frames where the position remains a continuous variable, is presented and then the fully discrete theory is presented. The notion of controlled frames is introduced, which reflects the particular nature of the underlying theory, particularly the apperant conflict between dilation and the compacity of the sphere. The paper is concluded with some numerical illustrations and future work.


Published in:
In proceedings of EUSIPCO 2004, Vienne, Austria
Year:
2004
Publisher:
EUSIPCO
Keywords:
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 Record created 2006-06-14, last modified 2018-03-17

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