test_decreasing_2d.m

该程序为用MATLAB编写的一个小波变换工具箱

% test_decreasing_2d - test the 2D alpert transform
%
% If the Alpert basis has more than alpha vanishing moments
% (check the value of k), then the decreasing of the error
% of reconstruction with M coefficients should be like
% |f-f_M| ~ M^{-alpha/2}
%
% You have to remember that this is not a fully
% 2D wavelet construction (the transform
% is pyramidal only on 1 dimension, on 
% the other this is just a fixed polynomial basis
% with a given number of slices).
%
% Here we plot the decreasing of the error for various number of 
% slices. You can see that as the number of coefficient M 
% increases, the number of slices increases.
% This is because you need more precision also on 
% the Y direction to reconstruct the function
% (which has the same regularity both in the X and in the Y direction).
%
%   Copyright (c) 2004 Gabriel Peyr