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. *