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The Discrete Cosine Transform (DCT) followed by scaling and quantiza.tion is an mlportant operation in image processing. Because of the scaling, the DCT itself need not he computed, but rather a scalar mu]tiple of the DCT might do, with appropriate compensation incorporated into the scaling. We present a fast method for computing such scaled output of the 2-dimensional DCT on 8 x 8 points. We also present a similar algorithm for the inverse scaled DCT.
Ephraim Feig (1990) studied this question.