G. Melnikov, A. K. Katsaggelos. A Jointly Optimal Fractal/DCT Compression Scheme. IEEE Trans. on Multimedia, 4(4):413-422, 2002.
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
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@article{MelKat02,
Author = {Melnikov, G. and Katsaggelos, A. K.},
Title = {A Jointly Optimal Fractal/{DCT} Compression Scheme},
Journal = {IEEE Trans. on Multimedia},
Volume = {4},
Number = {4},
Pages = {413--422},
Publisher = {},
Year = {2002}
}