Wavelet-based approaches versus subband coding techniques for still-image coding
Manuel A. Sola, Sebastià Sallent · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 1994
In this paper, the performance of filters implied in the discrete wavelet transform approach is compared with a set of filters of common application in image processing. A multidimensional multirate codec is designed in which the best subband decomposition and coding is jointly obtained by minimization of a rate-distortion criterion. We also introduce the idea of directional sensitivity based on the initial sampling lattice. This allows the codec to adapt better to the spectral content of the signal. Finally, taking as a starting point the continuous wavelet transform, we propose a discrete multiresolution analysis that would lead to new discrete transforms of special interest when analyzing discrete scalings and shiftings: the completely discrete wavelet transform.