@article{Gerry2002,
abstract = {In this paper a hybrid fractal and Discrete Cosine transform (DCT) coder is developed. Drawing on the ability of DCT to remove inter-pixel redundancies and on the ability of fractal transforms to capitalize on long-range correlations within the image, the hybrid coder performs an operationally optimal, in the rate-distortion sense, bit allocation among coding parameters. An orthogonal basis framework is used within which an image segmentation and a hybrid block-based transform are selected jointly. The selection of coefficients in the DCT component of the overall block transform is made a part of the optimization procedure. A Lagrangian multiplier approach is used to optimize the hybrid transform parameters together with the segmentation. Differential encoding of the DC coefficient is employed, with the scanning path based on a 3rd-order Hilbert curve. Simulation results show a significant improvement in quality with respect to the JPEG standard, an approach based on optimization of DCT basis vectors, as well as, the purely fractal techniques.},
author = {Melnikov, Gerry and Katsaggelos, A.K.},
doi = {10.1109/TMM.2002.806531},
issn = {1520-9210},
journal = {IEEE Transactions on Multimedia},
month = {dec},
number = {4},
pages = {413--422},
title = {{A jointly optimal fractal/DCT compression scheme}},
url = {http://ieeexplore.ieee.org/document/1176940/},
volume = {4},
year = {2002}
}

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