O. C. Au, M. L. Liou, L. K. Ma. Fast fractal encoding in frequency domain. In Proc. ICIP-97 IEEE International Conference on Image Processing, Santa Barbara, California, 1997.
Fractal image compression applies the self-similarity property of image. Many researches have been done to study the properties of fractal coding in image domain. In this paper, however, we try to explore the features of fractal coding in frequency domain. We firstly overview the properties of fractal coding in image domain, then we derive the corresponding formula of scaling factor and offset of affine transform in DCT domain. Applying the energy compaction property of DCT, we propose a fast fractal encoding algorithm by using only a small number of low frequency DCT coefficients in measuring the similarity between range block and domain block. We further propose a possible fast hybrid fractal encoding algorithm which combines existing fast search methods, statistical normalization and frequency domain comparison.
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@InProceedings{AuLiMa97,
Author = {Au, O. C. and Liou, M. L. and Ma, L. K.},
Title = {Fast fractal encoding in frequency domain},
BookTitle = {Proc. ICIP-97 IEEE International Conference on Image Processing},
Address = {Santa Barbara, California},
Month = {},
Year = {1997}
}