Abstract
Reversible transforms applied in wavelet coder to realize lossy-to-lossless compression are considered in this paper. 1-D wavelet transform possible to be customized in part 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.
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Przelaskowski, A. (2001). Lifting-Based Reversible Transforms for Lossy-to-Lossless Wavelet Codecs. In: Skarbek, W. (eds) Computer Analysis of Images and Patterns. CAIP 2001. Lecture Notes in Computer Science, vol 2124. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44692-3_8
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DOI: https://doi.org/10.1007/3-540-44692-3_8
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