With the increasing sizes of high resolution images, their storage and processing directly in the compressed domain has significantly gained importance. Algorithms for compressed domain image processing provide a powerful computational alternative to classical (pixel level) based implementations. While linear algorithms can be applied straightforward to the DCT (Discrete Cosine Transform) encoded JPEG images, this is not the case for nonlinear image processing, as for example contrast enhancement algorithms. The implementation of operations involving nonlinear operators is challenging, but not impossible, and when the right combination is found, the processing is much faster, due to the reduced number of coefficients, because the majority of the coefficients in the DCT domain are zero after the quantization. Such algorithms can significantly increase the computational efficiency in image processing algorithms applied to a JPEG image (preserving the quality), avoiding decompression and compression prior and after the processing.
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