A simple model for image self-similarity and the possible use of mutual information

European Signal Processing Conference

Volumn , Issue , 2007, Pages 975-979

  Alexander, S K ^a   Kovacic S ^b   Vrscay, E R ^c  

^a University of Houston   (United States)

^b UNIVERSITY OF LJUBLJANA   (Slovenia)

^c UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTAL IMAGE CODING; GREYSCALE; MUTUAL INFORMATIONS; SELF-SIMILARITIES; SUB-BLOCKS;

IMAGE CODING; MATHEMATICAL MODELS;

SIGNAL PROCESSING;

EID: 84863767572     PISSN: 22195491     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (13)

1. S.K. Alexander, Multiscale Methods in Image Modelling and Image Processing, Ph.D. Thesis, Dept. of Applied Mathematics, University of Waterloo (2005).
2. S.K. Alexander, E.R. Vrscay and S. Tsurumi, Characterizing image "self-similarity" from the statistical properties of domain-range block matching in fractal image coding, preprint (2007).
3. M.F. Barnsley, Fractals Everywhere, Academic Press, New York (1988).
4. M.F. Barnsley, V. Ervin, D. Hardin and J. Lancaster, Solution of an inverse problem for fractals and other sets, Proc. Nat. Acad. Sci. USA 83, 1975-1977 (1986).
5. M.F. Barnsley and L.P. Hurd, Fractal Image Compression, A.K. Peters, Wellesley, Massachusetts (1993).
6. A. Buades, B. Coll and J.M. Morel, A review of image denoising algorithms, with a new one, Multiscale Modelling and Simulation, 4, 490-530 (2005).
7. T.M. Cover and J.A. Thomas, Elements of Information Theory, Wiley, New York, 1991.
8. Y. Fisher, Ed., Fractal Image Compression: Theory and Application, Springer Verlag, New York (1995).
9. J.V. Hajnal, D.L.G. Hill and D.J. Hawkes, Editors, Medical Image Registration, CRC Press, Boca Raton, 2001.
10. N. Lu, Fractal Imaging, Academic Press, New York (1997).
11. F. Maes, A. Collignon, D. Vandermeulen, G. Marchal and P. Suetens, Multimodality image registration by maximization of mutual information, IEEE Trans. Image Proc. 16, 187-198 (1997).
12. D.L. Ruderman, The statistics of natural images, Network: Computation in Neural Systems 5, 517-548 (1994).
13. P. Viola and W.M. Wells III, Alignment by maximization of mutual information, Proc. 5th Int. Conf. Computer Vision, 16-23 (1995).