DCT coefficient distributions

Stephen R. Smoot, Lawrence A. Rowe · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1996

Many image and video compression schemes perform the discrete cosine transform (DCT) to represent image data in frequency space. An analysis of a broad suite of images confirms previous findings that a Laplacian distribution can be used to model the luminance ac coefficients. This model is expanded and applied to color space (Cr/Cb) coefficients. In MPEG, the DCT is used to code interframe prediction error terms. The distribution of these coefficients is explored. Finally, the distribution model is applied to improve dynamic generation of quantization matrices.

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