MRAFXZWT - Multi-Resolution Analysis of a function F(X,Z) by Wavelet
Transform. Modified to perform different levels of resolution
analysis for each dimension and also to allow to transform
back only the lower level of resolution.
mrafxzwt [parameters] < infile > mrafile
Required Parameters:
n1= size of first (fast) dimension
n2= size of second (slow) dimension
Optional Parameters:
p1= maximum integer such that 2^p1 <= n1
p2= maximum integer such that 2^p2 <= n2
order=6 order of Daubechies wavelet used (even, 4<=order<=20)
mralevel1=3 maximum multi-resolution analysis level in dimension 1
mralevel2=3 maximum multi-resolution analysis level in dimension 2
trunc=0.0 truncation level (percentage) of the reconstruction
verbose=0 =1 to print some useful information
reconfile= reconstructed data file to write
reconmrafile= reconstructed data file in MRA domain to write
dfile= difference between infile and reconfile to write
dmrafile= difference between mrafile and reconmrafile to write
dconly=0 =1 keep only dc component of MRA
verbose=0 =1 to print some useful information
if (n1 or n2 is not integer powers of 2) specify the following:
nc1=n1/2 center of trimmed image in the 1st dimension
nc2=n2/2 center of trimmed image in the 2nd dimension
trimfile= if given, output the trimmed file
Notes:
This program performs multi-resolution analysis of an input function
f(x,z) via the wavelet transform method. Daubechies's least asymmetric
wavelets are used. The smallest wavelet coefficient retained is given
by trunc times the absolute maximum size coefficient in the MRA.
The input dimensions of the data must be expressed by (p1,p2) which
Author: Zhaobo Meng, 11/25/95, Colorado School of Mines *
Modified: Carlos E. Theodoro, 06/25/97, Colorado School of Mines *
Included options for: *
- different level of resolutionf or each dimension; *
- transform back the lower level of resolution, only. *
*
Reference: *
Daubechies, I., 1988, Orthonormal Bases of Compactly Supported *
Wavelets, Communications on Pure and Applied Mathematics, Vol. XLI, *
909-996. *