Wavelet multiresolution representation of curves and surfaces
Graphical Models and Image Processing
An image multiresolution representation for lossless and lossy compression
IEEE Transactions on Image Processing
A new class of biorthogonal wavelet systems for image transform coding
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
A new, fast, and efficient image codec based on set partitioning in hierarchical trees
IEEE Transactions on Circuits and Systems for Video Technology
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Reversible transforms applied in wavelet coder to realize lossy-tolossless compression are considered in this paper. 1-D wavelet transform possible to be customized in part II of nowadays JPEG2000 standard is optimized to increase an efficiency of the first lossy phase of compression process. Different classes of reversible transforms were analyzed, evaluated in experiments, and compared one another in a sense of effectiveness, complexity and possibility of further optimization. Suitable selection of reversible wavelet transform can increase effectiveness of the coder even up to 2.7 dB of PSNR for 0.5 bpp in comparison to standard 5/3 transform. New reversible transform generated with lifting scheme was proposed. It overcomes all other in both phases of lossy-to-lossless compression (up to 0.4 dB of PSNR in comparison to the state-of-art transforms of JPEG2000 standardization process). Therefore, an efficiency of reversible wavelets can be comparable to irreversible wavelets effectiveness in several cases of lossy compression.