DCT and DST (+ inverse) in arbitrary dimension

Discrete cosine/sine transforms and their inverses
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Mise à jour 25 nov. 2011

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Y = DCTN(X) returns the discrete cosine transform (DCT) of X.

X = IDCTN(Y) returns the inverse discrete cosine transform (IDCT) of Y.

Y = DSTN(X) returns the discrete sine transform (DST) of X.

X = IDSTN(Y) returns the inverse discrete sine transform (IDST) of Y.

X and Y can be N-dimensional.

D = DSTMTX(k) returns the k-by-k DST transform matrix.

Faster DCT2 and IDCT2 are also included in the zip file.

Enter "help dctn", "help dstn", "help idctn", "help idstn" and "help dstmtx" in the Matlab command window for complete information.

Example
-------
RGB = imread('autumn.tif');
I = rgb2gray(RGB);
J = dstn(I);
imshow(log(abs(J)),[]), colormap(jet), colorbar

The commands below set values less than magnitude 10 in the DST matrix to zero, then reconstruct the image using the inverse DST.

J(abs(J)<10) = 0;
K = idstn(J);
figure, imshow(I)
figure, imshow(K,[0 255])

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http://www.biomecardio.com/matlab
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Citation pour cette source

Damien Garcia (2024). DCT and DST (+ inverse) in arbitrary dimension (https://www.mathworks.com/matlabcentral/fileexchange/26040-dct-and-dst-inverse-in-arbitrary-dimension), MATLAB Central File Exchange. Récupéré le .

Compatibilité avec les versions de MATLAB
Créé avec R2007b
Compatible avec toutes les versions
Plateformes compatibles
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Version Publié le Notes de version
1.5.0.0

faster DCT2 and IDCT2 are also included

1.4.0.0

Faster DCT2 and IDCT2 are also included

1.2.0.0

DCT and IDCT have been added upon request

1.0.0.0