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A Practical Application of Skipped Steps DWT in JPEG 2000 Part 2-Compliant Compressor

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Beyond Databases, Architectures and Structures. Facing the Challenges of Data Proliferation and Growing Variety (BDAS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 928))

Abstract

In this paper, we evaluate effects of applying the fixed skipped steps discrete wavelet transform (fixed SS-DWT) variants in the lossless compression that is compliant with part 2 of the JPEG 2000 standard. Compared to results obtained previously using a modified JPEG 2000 part 1 compressor, for a large and diverse set of test images, we found that extensions of part 2 of the standard allow further bitrate improvements. We experimentally confirmed that the fixed SS-DWT variants may be obtained in compliance with the standard and we identified practical JPEG 2000 part 2-compliant compression schemes with various trade-offs between the bitrate improvement and the compression process complexity.

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Notes

  1. 1.

    http://www1.hft-leipzig.de/strutz/Papers/Testimages/.

  2. 2.

    http://sun.aei.polsl.pl/~rstaros/rdls-ss-dwt/.

  3. 3.

    http://www.irissoftware.be/.

  4. 4.

    http://kakadusoftware.com/downloads/.

References

  1. Addison, P.S.: The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance. CRC Press, Boca Raton (2017)

    MATH  Google Scholar 

  2. Bruylants, T., Munteanu, A., Schelkens, P.: Wavelet based volumetric medical image compression. Sig. Process.: Image Commun. 31, 112–133 (2015). https://doi.org/10.1016/j.image.2014.12.007

    Article  Google Scholar 

  3. Daubechies, I., Sweldens, W.: Factoring wavelet transforms into lifting steps. J. Fourier Anal. Appl. 4(3), 247–269 (1998). https://doi.org/10.1007/BF02476026

    Article  MathSciNet  MATH  Google Scholar 

  4. Dufaux, F., Sullivan, G.J., Ebrahimi, T.: The JPEG XR image coding standard. IEEE Sig. Process. Mag. 26(6), 195–199, 204 (2009). https://doi.org/10.1109/MSP.2009.934187

    Article  Google Scholar 

  5. ISO/IEC, ITU-T: Information technology - JPEG 2000 image coding system: Core coding system. ISO/IEC International Standard 15444–1 and ITU-T Recommendation T.800 (2004)

    Google Scholar 

  6. ISO/IEC, ITU-T: Information technology - JPEG 2000 image coding system: extensions. ISO/IEC International Standard 15444–2 and ITU-T Recommendation T.801 (2004)

    Google Scholar 

  7. ISO/IEC, ITU-T: Information technology - JPEG 2000 image coding system: extensions for three-dimensional data. ISO/IEC International Standard 15444–10 and ITU-T Recommendation T.809 (2011)

    Google Scholar 

  8. ISO/IEC, ITU-T: Information technology - High efficiency coding and media delivery in heterogeneous environments - Part 2: High efficiency video coding. ISO/IEC International Standard 23008–2 and ITU-T Recommendation H.265 (2015)

    Google Scholar 

  9. Mallat, S.: A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans. Pattern Anal. Mach. Intell. 11, 674–693 (1998)

    Article  Google Scholar 

  10. Malvar, H.S., Sullivan, G.J., Srinivasan, S.: Lifting-based reversible color transformations for image compression. In: Proceedings of SPIE Applications of Digital Image Processing XXXI, vol. 7073, p. 707307 (2008). https://doi.org/10.1117/12.797091

  11. Peng, W.H., Walls, F.G., Cohen, R.A., Xu, J., Ostermann, J., MacInnis, A., Lin, T.: Overview of screen content video coding: technologies, standards, and beyond. IEEE J. Emerg. Sel. Top. Circ. Syst. 6(4), 393–408 (2016). https://doi.org/10.1109/JETCAS.2016.2608971

    Article  Google Scholar 

  12. Starosolski, R.: Reversible denoising and lifting based color component transformation for lossless image compression, arXiv:1508.06106 [cs.MM] (2016). http://arxiv.org/abs/1508.06106

  13. Starosolski, R.: New simple and efficient color space transformations for lossless image compression. J. Vis. Commun. Image Represent. 25(5), 1056–1063 (2014). https://doi.org/10.1016/j.jvcir.2014.03.003

    Article  Google Scholar 

  14. Starosolski, R.: Application of reversible denoising and lifting steps to DWT in lossless JPEG 2000 for improved bitrates. Sig. Process. Image Commun. 39(A), 249–263 (2015). https://doi.org/10.1016/j.image.2015.09.013

    Article  Google Scholar 

  15. Starosolski, R.: Application of reversible denoising and lifting steps to LDgEb and RCT Color space transforms for improved lossless compression. In: Kozielski, S., Mrozek, D., Kasprowski, P., Małysiak-Mrozek, B., Kostrzewa, D. (eds.) BDAS 2015-2016. CCIS, vol. 613, pp. 623–632. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-34099-9_48

    Chapter  Google Scholar 

  16. Starosolski, R.: Application of reversible denoising and lifting steps with step skipping to color space transforms for improved lossless compression. J. Electron. Imaging 25(4), 043025 (2016). https://doi.org/10.1117/1.JEI.25.4.043025

    Article  Google Scholar 

  17. Starosolski, R.: Skipping selected steps of DWT computation in lossless JPEG 2000 for improved bitrates. PLOS One 11(12), e0168704 (2016). https://doi.org/10.1371/journal.pone.0168704

    Article  Google Scholar 

  18. Strutz, T.: Multiplierless reversible colour transforms and their automatic selection for image data compression. IEEE Trans. Circ. Syst. Video Technol. 23(7), 1249–1259 (2013). https://doi.org/10.1109/TCSVT.2013.2242612

    Article  Google Scholar 

  19. Strutz, T., Leipnitz, A.: Reversible colour spaces without increased bit depth and their adaptive selection. IEEE Sig. Process. Lett. 22(9), 1269–73 (2015). https://doi.org/10.1109/LSP.2015.2397034

    Article  Google Scholar 

  20. Sullivan, G., Ohm, J., Han, W., Wiegand, T.: Overview of the high efficiency video coding (HEVC) standard. IEEE Trans. Circ. Syst. Video Technol. 22(12), 674–693 (2012). https://doi.org/10.1109/TCSVT.2012.2221191

    Article  Google Scholar 

  21. Sweldens, W.: The lifting scheme: a custom-design construction of biorthogonal wavelets. Appl. Comput. Harmonic Anal. 3, 186–200 (1996). https://doi.org/10.1006/acha.1996.0015

    Article  MathSciNet  MATH  Google Scholar 

  22. Taubman, D.S., Marcellin, M.W.: JPEG2000 Image Compression Fundamentals, Standards and Practice. Springer, Heidelberg (2004). https://doi.org/10.1007/978-1-4615-0799-4

    Book  Google Scholar 

  23. Weinberger, M.J., Seroussi, G., Sapiro, G.: The LOCO-I lossless image compression algorithm: principles and standardization into JPEG-LS. IEEE Trans. Image Process. 9(8), 1309–1324 (2000). https://doi.org/10.1109/83.855427

    Article  Google Scholar 

  24. Xu, J., Joshi, R., Cohen, R.A.: Overview of the emerging HEVC screen content coding extension. IEEE Trans. Circ. Syst. Video Technol. 26(1), 50–62 (2016). https://doi.org/10.1109/TCSVT.2015.2478706

    Article  Google Scholar 

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Acknowledgment

This work was supported by the 02/020/BK_17/0105 grant from the Institute of Informatics, Silesian University of Technology and by the 02/020/RGJ18/0123 grant from the Silesian University of Technology.

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Correspondence to Roman Starosolski .

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Starosolski, R. (2018). A Practical Application of Skipped Steps DWT in JPEG 2000 Part 2-Compliant Compressor. In: Kozielski, S., Mrozek, D., Kasprowski, P., Małysiak-Mrozek, B., Kostrzewa, D. (eds) Beyond Databases, Architectures and Structures. Facing the Challenges of Data Proliferation and Growing Variety. BDAS 2018. Communications in Computer and Information Science, vol 928. Springer, Cham. https://doi.org/10.1007/978-3-319-99987-6_26

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  • DOI: https://doi.org/10.1007/978-3-319-99987-6_26

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