In this paper we evaluate the performance of subband/wavelet coders for image compression. The objective is to determine any possible connection between the suitability of the used FIR filters and their regularity index. First, we discuss the tool of (orthogonal and biorthogonal) multiresolution analysis. Then we investigate its relation to subband coding techniques. We show that dyadic multiresolution analysis is basically the same as octave band subband coding, except for the additional regularity requirement on the used filters. We cite techniques for calculating the regularity of arbitrary FIR subband filters. In the experimental part, we compare the performance of image coders employing several `classical' subband filters and `true' wavelet filters. We find that the regularity order of a filter and its performance are not strongly correlated and that the regularity of a filter can not be used as a selection criterion for the choice of filters in image coding applications.

Date Published: 1 November 1993
PDF: 12 pages
Proc. SPIE 2034, Mathematical Imaging: Wavelet Applications in Signal and Image Processing, (1 November 1993); doi: 10.1117/12.162068

Published in SPIE Proceedings Vol. 2034:
Mathematical Imaging: Wavelet Applications in Signal and Image Processing
Andrew F. Laine, Editor(s)