idct2 (Image Processing Toolbox User's Guide)

Image Processing Toolbox User's Guide

Compute two-dimensional inverse discrete cosine transform

Syntax

B = idct2(A)
B = idct2(A,m,n)
B = idct2(A,[m n])

Description

B = idct2(A) returns the two-dimensional inverse discrete cosine transform (DCT) of A.

B = idct2(A,m,n) or B = idct2(A,[m n]) pads A with 0's to size m-by-n before transforming. If [m n] < size(A), idct2 crops A before transforming.

For any A, idct2(dct2(A)) equals A to within roundoff error.

Class Support

The input matrix A can be of class double or of any numeric class. The output matrix B is of class double.

Algorithm

idct2 computes the two-dimensional inverse DCT using

Example

Create a DCT matrix.

RGB = imread('autumn.tif');
I = rgb2gray(RGB);
J = dct2(I);
imshow(log(abs(J)),[]), colormap(jet), colorbar

Set values less than magnitude 10 in the DCT matrix to zero, then reconstruct the image using the inverse DCT function idct2.

J(abs(J)<10) = 0;
K = idct2(J);
figure, imshow(I)
figure, imshow(K,[0 255])

See Also

dct2, dctmtx, fft2, ifft2

References

[1] Jain, A. K., Fundamentals of Digital Image Processing, Englewood Cliffs, NJ, Prentice Hall, 1989, pp. 150-153.

[2] Pennebaker, W. B., and J. L. Mitchell, JPEG: Still Image Data Compression Standard, New York, Van Nostrand Reinhold, 1993.

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