Enhanced Downhill Simplex Search for Fast Video Motion Estimation

  • Hwai-Chung Fei
  • Chun-Jen Chen
  • Shang-Hong Lai
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3767)


Block-based motion estimation can be regarded as a function minimization problem in a finite two-dimensional space. Therefore, fast block-based motion estimation can be achieved by using an efficient function minimization algorithm instead of using a predefined search pattern, such as the diamond search. The downhill simplex search algorithm is an efficient derivative-free function minimization algorithm. In this paper, we propose several enhanced schemes to improve the efficiency of applying the downhill simplex search algorithm to motion estimation. The proposed enhanced schemes include a new initialization process, a special rounding method, and an early-stop error function evaluation procedure. Experimental results on several benchmarking videos show superior performance of the proposed algorithm over some existing fast block matching methods.


Motion Vector Motion Estimation Full Search Diamond Search Simplex Search 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. 1.
    ISO/IEC 11172, Information technology - coding of moving pictures and associated audio for digital storage media at up to 1.5 Mbit/s (1993)Google Scholar
  2. 2.
    ISO/IEC 13818, Information technology - Generic coding of moving pictures and associated audio information, Part 2: Video (1995)Google Scholar
  3. 3.
    ISO/IEC 14496-2. Information technology - coding of audio-visual objects - Part 2: Visual (1998)Google Scholar
  4. 4.
    ITU-T Recommendation H.263. Video coding for low bit rate communication, Version 2 (1998) Google Scholar
  5. 5.
    ISO/IEC 14496-10 and ITU-T Recommendation H.264. Advanced Video Coding (2003)Google Scholar
  6. 6.
    Koga, T., Iinuma, K., Hirano, A., Iijima, Y., Ishiguro, T.: Motion compensated interframe coding for video conferencing. In: Proc. Nat. Telecommun. Conf., New Orleans, LA, November 29-December 3 (1981), G5.3.1-G5.3.5Google Scholar
  7. 7.
    Li, R., Zeng, B., Liou, M.L.: A new three-step search algorithm for block motion estimation. IEEE Trans. Circuits Syst. Video Technol. 4, 438–442 (1994)CrossRefGoogle Scholar
  8. 8.
    Po, L.M., Ma, W.C.: A novel four-step search algorithm for fast block motion estimation. IEEE Trans. Circuits Syst. Video Tech. 6, 313–317 (1996)CrossRefGoogle Scholar
  9. 9.
    Zhu, S., Ma, K.-K.: A new diamond search algorithm for fast block-matching motion estimation. IEEE Trans. Image Processing 9, 287–290 (2000)CrossRefGoogle Scholar
  10. 10.
    Nelder, J.A., Mead, R.: A simplex method for function minimization. The Comput. J. 7, 308–313 (1965)zbMATHGoogle Scholar
  11. 11.
    Al-Mualla, M.E., Canagarajah, C.N., Bull, D.R.: Video coding for Mobile communications Efficiency, Complexity, and Resilience. Elsevier Science, Amsterdam (2002)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Hwai-Chung Fei
    • 1
  • Chun-Jen Chen
    • 1
  • Shang-Hong Lai
    • 1
  1. 1.Department of Computer ScienceNational Tsing Hua UniversityHsinchuTaiwan, R.O.C

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