Three Dimensional Multiresolution Analysis
Description
This function performs a level J additive decomposition of the input array using the pyramid algorithm (Mallat 1989).
Usage
1  mra.3d(x, wf, J=4, method="modwt", boundary="periodic")

Arguments
x 
A threedimensional array containing the data be to
decomposed. This must be have dyadic length in all three dimensions
(but not necessarily the same) for 
wf 
Name of the wavelet filter to use in the decomposition. By
default this is set to 
J 
Specifies the depth of the decomposition. This must be a number less than or equal to log(length(x),2). 
method 
Either 
boundary 
Character string specifying the boundary condition.
If 
Details
This code implements a threedimensional multiresolution analysis by performing the onedimensional pyramid algorithm (Mallat 1989) on each dimension of the input array. Either the DWT or MODWT may be used to compute the multiresolution analysis, which is an additive decomposition of the original array.
Value
List structure containing the filter triplets associated with the multiresolution analysis.
Author(s)
B. Whitcher
References
Mallat, S. G. (1989) A theory for multiresolution signal decomposition: the wavelet representation, IEEE Transactions on Pattern Analysis and Machine Intelligence, 11, No. 7, 674693.
Mallat, S. G. (1998) A Wavelet Tour of Signal Processing, Academic Press.
See Also
dwt.3d
, modwt.3d