Minimum-entropy clustering and its application to lossless image coding

The minimum-entropy clustering (MEC) algorithm proposed in this paper provides an optimal method for addressing the non-stationarity of a source with respect to entropy coding. This algorithm clusters a set of vectors (where each vector consists of a fixed number of contiguous samples from a discrete source) using a minimum entropy criterion. In a manner similar to classified vector quantization (CVQ), a given vector is first classified into the class which leads to the lowest entropy and then its samples are coded by the entropy coder designed for that particular class. The MEC algorithm is used in the design of a lossless, predictive image coder. The MEC-based coder is found to significantly outperform the single entropy coder as well as the other popular lossless coders reported in the literature.

[1]  Robert M. Gray,et al.  An Algorithm for Vector Quantizer Design , 1980, IEEE Trans. Commun..

[2]  Ahmad Zandi,et al.  CREW: Compression with Reversible Embedded Wavelets , 1995, Proceedings DCC '95 Data Compression Conference.

[3]  Nariman Farvardin,et al.  Optimum quantizer performance for a class of non-Gaussian memoryless sources , 1984, IEEE Trans. Inf. Theory.

[4]  Tor A. Ramstad,et al.  Optimality of multiple entropy coder systems for nonstationary sources modelled by a mixture distribution , 1996, 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing Conference Proceedings.

[5]  C. Smith,et al.  Adaptive Coding of Monochrome and Color Images , 1977, IEEE Trans. Commun..

[6]  William A. Pearlman,et al.  An image multiresolution representation for lossless and lossy compression , 1996, IEEE Trans. Image Process..

[7]  Tenkasi V. Ramabadran,et al.  The use of contextual information in the reversible compression of medical images , 1992, IEEE Trans. Medical Imaging.

[8]  Kuldip K. Paliwal,et al.  Context classification and adaptive prediction for lossless image coding , 1997, TENCON '97 Brisbane - Australia. Proceedings of IEEE TENCON '97. IEEE Region 10 Annual Conference. Speech and Image Technologies for Computing and Telecommunications (Cat. No.97CH36162).

[9]  William A. Pearlman,et al.  Reversible image compression via multiresolution representation and predictive coding , 1993, Other Conferences.

[10]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1991, CACM.