Fractal-based techniques for a generalized image coding method

This paper presents a new generalized image block coding algorithm which covers fractal techniques, block transform techniques, and vector quantization as its special cases. The coding is performed by approximating each image block with a linear combination of a series of (not necessarily orthogonal) blocks selected from a pool of basis blocks. This pool is made up of (1) a set of fixed basis blocks, (2) a set of blocks taken from the filtered, subsampled image, and (3) a set of blocks taken from the image without any change of scale. The index of the selected basis blocks and their corresponding coefficients make the code for each range block. Methods are proposed for making the pool and selecting blocks from the pool.<<ETX>>

[1]  P. Pirsch,et al.  Advances in picture coding , 1985, Proceedings of the IEEE.

[2]  Thomas S. Huang,et al.  A fractal-based image block-coding algorithm , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[3]  Tor A. Ramstad,et al.  An inner product space approach to image coding by contractive transformations , 1991, [Proceedings] ICASSP 91: 1991 International Conference on Acoustics, Speech, and Signal Processing.

[4]  Steven J. Leon Linear Algebra With Applications , 1980 .

[5]  Farzin Deravi,et al.  Pruning of the transform space in block-based fractal image compression , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[6]  Daniel N. Rogovin,et al.  Fractal (self-VQ) encoding of video sequences , 1994, Other Conferences.

[7]  Haibo Li,et al.  Fractal-based image sequence compression scheme , 1993 .

[8]  Lyman P. Hurd,et al.  Fractal image compression , 1993 .

[9]  A. Jacquin A fractal theory of iterated Markov operators with applications to digital image coding , 1989 .

[10]  Arnaud E. Jacquin,et al.  Image coding based on a fractal theory of iterated contractive image transformations , 1992, IEEE Trans. Image Process..

[11]  Greg Vines,et al.  Signal modeling with iterated function systems , 1993 .

[12]  Y. Fisher Fractal image compression: theory and application , 1995 .

[13]  Arnaud E. Jacquin,et al.  Application Of Recurrent Iterated Function Systems To Images , 1988, Other Conferences.

[14]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[15]  L.P. Hurd,et al.  Fractal video compression , 1992, Digest of Papers COMPCON Spring 1992.

[16]  Donald M. Monro,et al.  A hybrid fractal transform , 1993, 1993 IEEE International Conference on Acoustics, Speech, and Signal Processing.