Measures of Uniform Distribution in Wavelet Based Image Compression

In still image compression, the wavelet transformation is a state-of-the-art tool. Recently, wavelet packet decomposition has received quite an interest. One popular approach for wavelet packet decomposition is the near best basis algorithm of Taswell. We extend his set of non-additive cost-functions by measures of uniform distribution, i.e. discrepancy and probability distribution distance. In contrast to usual application of the latter measures, we are interested in point-sets which are maximally not uniformly distributed to enhance entropy-encoding.