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DCT and DST (+ inverse) in arbitrary dimension

version 1.5 (8.53 KB) by

Discrete cosine/sine transforms and their inverses

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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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Comments and Ratings (3)

According to the author and the reference in IEEE, the definition of the DCT rather corresponds to what is called REDFT10 in fftw. I guess the DST corresponds to RODFT10. Matlab dst function rather uses the same definition as RODFT00.

Would be great if you could add the exact definition. Does dstn correspond to https://www.mathworks.com/help/pde/ug/dst.html ?

Really useful otherwise :)

Gianni Schena

these function when used in >resize3d< allow faster volume resizing of large volumes with less memory usage

Updates

1.5

faster DCT2 and IDCT2 are also included

1.4

Faster DCT2 and IDCT2 are also included

1.2

DCT and IDCT have been added upon request

MATLAB Release
MATLAB 7.5 (R2007b)

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