Quantization of adaptive wavelets for image compression
Gemma Piella, H. Heijinans, Béatrice Pesquet‐Popescu · 2004
In this paper we investigate the potential of a special class of adaptive wavelet schemes to yield an effective representation for compression purposes. In particular, we analyze the effect of a scalar uniform quantization in an adaptive multiresolution analysis based on a lifting implementation. We provide conditions for recovering the original decisions at synthesis and we provide expressions that relate the reconstruction error to the quantization error. Such an analysis is essential for the application of our adaptive decompositions in lossy image compression algorithms.