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== Multidimensional discrete cosine transform ==
The discrete cosine transform finds a wide range of applications such as data [[Data compression|compression]], [[feature extraction]], [[Image reconstruction]], multi-frame [[detection]] and so on. The give size multidimensional DCT is given by:
:<math> Fx(K_1,K_2,\ldots,K_r ) = \sum_{n_1=0}^{N_1-1} \sum_{n_2=0}^{N_2-1} \cdots \sum_{n_r=0}^{N_r-1} fx(n_1,n_2,\ldots,n_r) \cos { \frac{ \pi (2n_1+1) K_1}{2N_1}} \cos { \frac{ \pi (2n_r+1) K_r}{2N_r}}</math>
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