Wavelets Theory and Its Applications by Mani Mehra

Wavelets Theory and Its Applications by Mani Mehra

Author:Mani Mehra
Language: eng
Format: epub
ISBN: 9789811325953
Publisher: Springer Singapore


where , , and

The inverse fast wavelet transform (IFWT, reconstruction procedure, reverse pyramid algorithm) can be obtained as follows:

(5.10)

Now, using (5.6) and (5.7), (5.10) becomes

(5.11)

Applying (5.11) recursively for , starting with the initial sequence gives the scaling coefficients. Some examples of discrete wavelet transform using different wavelets on flat geometries (Chap. 3) and wavelets on arbitrary manifold (Chap. 4) are given as following subsections.

5.2.1 Daubechies Wavelet Transform



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