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Multilevel 2-D wavelet reconstruction
Syntax
Description
waverec2 is a two-dimensional wavelet analysis function.
X = waverec2(C,S,'wname') performs a multilevel wavelet reconstruction of the matrix X based on the wavelet decomposition structure [C,S] (for detailed storage information, see wavedec2). 'wname' is a string containing the name of the wavelet (see wfilters for more information).
Instead of giving the wavelet name, you can give the filters. For X = waverec2(C,S,Lo_R,Hi_R), Lo_R is the reconstruction low-pass filter and Hi_R is the reconstruction high-pass filter.
waverec2 is the inverse function of wavedec2 in the sense that the abstract statement waverec2(wavedec2(X,N,'wname'),'wname') would give back X.
Remarks
Note that X = waverec2(C,S,'wname') is equivalent to X = appcoef2(C,S,'wname',0).
Examples
% The current extension mode is zero-padding (see dwtmode).
% Load original image.
load woman;
% X contains the loaded image.
% Perform decomposition at level 2
% of X using sym4.
[c,s] = wavedec2(X,2,'sym4');
% Reconstruct X from the wavelet
% decomposition structure [c,s].
a0 = waverec2(c,s,'sym4');
% Check for perfect reconstruction.
max(max(abs(X-a0)))
ans =
2.5565e-10
See Also
appcoef2, idwt2, wavedec2
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