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A Method to Construct a Large-Size Simple Integer Cosine Transform for High-Resolution Image and Video Coding

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Abstract

A matrix method is considered to construct simple order-32 integer cosine step transform. A one-norm simple order-32 integer transform is proposed and its fast algorithms are developed whose computational complexity is 4.3 times smaller than that of well-known algorithms and 19 times smaller than that of the H.265 standard.

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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. ITU-T H.265|ISO/IEC 23008-2:2013. Information technology — High efficiency and media delivery in heterogeneous environments — Part 2: High efficiency video coding (2013).

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

  7. 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.

  8. 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, 913–929 (2014).

    Article  MathSciNet  MATH  Google Scholar 

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

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

  11. 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).

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

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

  14. L. O. Hnativ, “A method for constructing fast large-size 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.

  15. L. O. Hnativ and V. K. Luts, “A low-complexity order-32 integer cosine transform for high-efficiency image and video coding,” in: Proc. Intern. Conf. “Problems of optimization of computations (POC-2013),” Katsiveli, Crimea, Ukraine (2013), pp. 68–69.

  16. 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 

  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. L. O. Hnativ, “Integer cosine transforms for high-efficiency image and video coding,” Cybernetics and Systems Analysis, 52, No 5, 802–816 (2016).

    Article  MATH  Google Scholar 

  19. I. E. Richardson, H.264 and MPEG-4 Video Compression — Video Coding for Next-Generation Multimedia [Russian translation], Tekhnosfera, Moscow (2005).

    Google Scholar 

  20. A. Fuldseth, G. Bjøntegaard, M. Sadafale, and M. Budagavi, “Transform design for HEVC with 16 bit intermediate data representation,” Doc. JCTVC-E243, Geneva, CH (2011).

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Correspondence to L. O. Hnativ.

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Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2016, pp. 143–155.

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Hnativ, L.O. A Method to Construct a Large-Size Simple Integer Cosine Transform for High-Resolution Image and Video Coding. Cybern Syst Anal 52, 956–966 (2016). https://doi.org/10.1007/s10559-016-9898-y

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  • DOI: https://doi.org/10.1007/s10559-016-9898-y

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