HAIT Journal of Science and Engineering C
Volume 4, Issues 1-2, pp. 263-271
© 2007 Holon Institute of Technology

 

Best wavelet bases for image compression generated by rational symbols

Alexander Petukhov

Department of Mathematics, University of Georgia, Athens, GA 30602, USA
e-mail: petukhov@math.uga.edu
Received 5 January 2006, accepted 21 January 2006

 

We present the results of a numerical search for a wavelet basis with the best performance for image compression. Wavelets of multiparametric families of wavelets with rational masks were considered as candidates for the best basis. The results of the modeling are as follows.
    1. The best biorthogonal bases coincide with the classical 9/7 bases for the case of even symmetric wavelets and with 22/14 coiflets for the odd case.
    2. The optimality of the basis depends only on the image resolution. Adaptation to a certain image practically do not improve the performance.

Keywords: Orthogonal Greedy Algorithm, wavelet frame, image compression.

 

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