G. Caso, C.-C. J. Kuo. Multiresolution analysis of fractal image compression. In NATO ASI Conf. Fractal Image Encoding and Analysis, Trondheim, July 1995.
In this research, we perform a multiresolution analysis of the mapping used in fractal image compression. We derive the transform-domain structure of the mappings and demonstrate a close connection between fractal image compression and wavelet transform coding using the Haar basis. We show that under certain conditions, the mappings correspond to a hierarchy of affine mappings between the subbands of the transformed image. Our analysis provides new insights into the mechanism underlying fractal image compression, leads to a new non-iterative transform-domain decoding algorithm, and suggests a new transform-domain encoding method with extensions to wavelets other than the Haar transform.
@InProceedings{CaKu95,
Author = {Caso, G. and Kuo, C.-C. J.},
Title = {Multiresolution analysis of fractal image compression},
BookTitle = {NATO ASI Conf. Fractal Image Encoding and Analysis},
Address = {Trondheim},
Month = {July},
Year = {1995}
}
appears in Fractals, Vol. 5, Supplementary issue, April 1997