idwt3
Single-level 3-D inverse discrete wavelet transform
Description
Examples
Single-Level Three-Dimensional Wavelet Reconstruction
Create a 3-D array.
X = reshape(1:64,4,4,4); tiledlayout(2,2) for k=1:4 nexttile imagesc(X(:,:,k)) title("k = "+num2str(k)) colorbar end
Decompose X
using the Haar wavelet.
wt = dwt3(X,"haar");
Reconstruct X
from the coefficients. Verify that the reconstructed data agrees with the original data to machine precision.
XR = idwt3(wt); dff = max(abs(X(:)-XR(:)))
dff = 3.5527e-14
Compute the reconstructed approximation, which consists of the lowpass component.
A = idwt3(wt,"aaa");
Compute the sum of all the components different from the lowpass component. Visualize the reconstruction.
D = idwt3(wt,"d"); tiledlayout(2,2) for k=1:4 nexttile imagesc(D(:,:,k)) title("k = "+num2str(k)) colorbar end
Reconstruct the component associated with lowpass in the x and z directions and highpass in the y direction.
ADA = idwt3(wt,"ada");
Input Arguments
wt
— Single-level 3-D wavelet decomposition
structure
Single-level 3-D wavelet decomposition, specified as a structure with these fields:
sizeINI | Size of the three-dimensional array
|
mode | Name of the wavelet transform extension mode. |
filters | Structure with four fields:
|
dec | 2-by-2-by-2 cell array containing the coefficients of the decomposition.
The
|
type
— Type of reconstruction
character vector | string scalar
Type of reconstruction, specified as a character vector or string scalar.
Valid values of type
are these:
A group of three characters
'xyz'
, one per direction, with each character selected in the set {'a'
,'d'
,'l'
,'h'
} or in the corresponding uppercase set {'A'
,'D'
,'L'
,'H'
}, where'A'
(or'L'
) is a lowpass filter and'D'
(or'H'
) is a highpass filter.The char
'd'
(or'h'
or'D'
or'H'
) gives the sum of all the components different from the lowpass component.
Data Types: char
| string
Output Arguments
X
— Reconstruction
3-D array
Reconstruction, returned as a 3-D array.
C
— Reconstructed component
3-D array
Reconstructed component of specified type
, returned
as a 3-D array.
Version History
Introduced in R2010a
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