Skip to main content
SpringerLink
Log in

Integer Cosine Transforms for High-Efficiency Image and Video Coding

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

Matrix methods for constructing one-norm order-8 and -16 integer cosine transforms are considered. One-norm order-8 and -16 integer transforms are proposed and fast algorithms are developed that implement these transforms with a low computational complexity that is less by a factor of 3–5 than the complexity of well-known algorithms and is less by a factor of 10 than that in the H.265 standard.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. ITU-T Rec. H.264/ISO/IEC 14496-10 (2009), “Information technology — Coding of audio-visual objects,” Part 10: Advanced Video Coding (2009).

  2. SMPTE Standard 421 M-2006, VC-1 Compressed Video Bitstream Format and Decoding Process (2006).

  3. PRC National Standard (AVS Working Group) GB/T 20090.2-2006. Information Technology — Advanced Coding of Audio and Video, Part 2: Video, Chinese AVS Standard (2006).

  4. W. K. Cham, C. K. Fong, Y. Liu, and C. K. M. Cheng, “An investigation of order-16 transform in AVS-M2606 ABT,” in: 31st AVS Meeting, Beijing (2009).

  5. B. Bross, W.-J. Han, G. S. Sullivan, J.-R. Ohm, and T. Wiegand (eds.), “High efficiency video coding (HEVC) text specification draft 6,” Doc. JCTVC-H1003, San José, CA, USA (2012).

  6. A. Fuldseth, G. Bjøntegaard, M. Budagavi, and V. Sze, “CE10: Core transform design for HEVC,” Doc. JCTVC-G495, Geneva, CH (2011).

  7. S. Ma and C.-C. Kuo, “High-definition video coding with supermacroblocks,” in: Proc. SPIE, 6508, 650816-1–650816-12 (2007).

  8. C. K. Fong and W. K. Cham, “Simple order-16 integer transform for video coding,” in: Proc. IEEE Int. Conf. on Image Processing, Hong Kong (2010), pp. 161–164.

  9. L. O. Hnativ, “A method for constructing simple integer step-by-step order-16 cosine transforms for high-efficiency video coding,” in: Proc. Intern. Math. School “Problems of optimization of computations (POC-2011),” Katsiveli, Crimea, Ukraine (2011), pp. 37–38.

  10. L. O. Hnativ and V. K. Luts, “A simple integer step-by-step low-complexity order-16 cosine transform for high-efficiency video coding,” in: Proc. Intern. Math. School “Problems of optimization of computations (POC-2011),” Katsiveli, Crimea, Ukraine (2011), pp. 39–40.

  11. L. O. Hnativ, “Integer cosine transforms: Methods to construct new order-8 and -16 fast transforms and their application,” Cybernetics and Systems Analysis, 50, No. 6, 104–121 (2014).

    Article  MathSciNet  MATH  Google Scholar 

  12. R. Joshi, Y. Reznik, and M. Karczewicz, “Efficient large size transforms for high performance video coding,” in: Proc. SPIE, 7798 (2010), pp. 1–7.

  13. R. Joshi, Y. Reznik, J. Sole, and M. Karczewicz, “Efficient 16 and 32-point transforms,” Doc. JCTVC-D256, Daegu, KR, (2011).

  14. E. Alshina, A. Alshin, I.-K. Kim, and P. Topiwala, “CE10: Full-factorized core transform proposal by Samsung/FastVDO,” Doc. JCTVC-F251, Torino, Italy (2011).

  15. K. Ugur, K. Andersson, A. Fuldseth, et al., “High performance low complexity video coding and the emerging HEVC standard,” IEEE Trans. Circuits Syst. Video Technol., 20, No. 12, 1688–1697 (2012).

    Article  Google Scholar 

  16. L. O. Hnativ, “A method for constructing fast high-dimensional integer cosine transforms for high-efficiency image and video coding,” in: Proc. Intern. Math. School “Problems of optimization of computations (POC-2013),” Katsiveli, Crimea, Ukraine (2013), pp. 66–67.

  17. B. M. Shevchuk, V. K. Zadiraka, L. O. Hnativ, and S. V. Fraer, Technology of Multifunctional Data Processing and Transmission in Monitoring Networks [in Ukrainian], Naukova Dumka, Kyiv (2010).

    Google Scholar 

  18. Iain E. G. Richardson, H.264 and MPEG-4 Video Compression: Video Coding for Next-Generation Multimedia [Russian translation], Tekhnosfera, Moscow (2005).

Download references

Author information

Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kiev, Ukraine

    L. O. Hnativ

Authors
  1. L. O. Hnativ
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. O. Hnativ.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, September–October, 2016, pp. 161–176.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Hnativ, L.O. Integer Cosine Transforms for High-Efficiency Image and Video Coding. Cybern Syst Anal 52, 802–816 (2016). https://doi.org/10.1007/s10559-016-9881-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-016-9881-7

Keywords

Search

Navigation