Journal of Real-Time Image Processing

, Volume 2, Issue 4, pp 235–248 | Cite as

Real-time hardware acceleration of the trace transform

  • Suhaib A. Fahmy
  • Christos-Savvas Bouganis
  • Peter Y. K. Cheung
  • Wayne Luk
Special Issue

Abstract

The trace transform is a novel algorithm that has been shown to be effective in a number of image recognition tasks. It is a generalisation of the Radon transform that has been widely used in image processing for decades. Its generality—allowing multiple functions to be used in the mapping—leads to an algorithm that can be tailored to specific applications. However, its computation complexity has been a barrier to its widespread adoption. By harnessing the heterogeneous resources on a modern FPGA, the algorithm is significantly accelerated. Here, a flexible system is developed that allows for a wide array of functionals to be computed without re-implementing the design. The system is fully scalable, such that the number and complexity of functionals does not affect the speed of the circuit. The heterogeneous resources of the FPGA platform are then used to develop a set of flexible functional blocks that can each implement a number of different mathematical functionals. The combined result of this design is a system that can compute the trace transform on a 256 × 256 pixel image at 26 fps, enabling real-time processing of captured video frames.

Keywords

Trace transform Image processing Field programmable gate arrays Reconfigurable systems 

References

  1. 1.
    Brady, M.L., Yong, W.: Fast parallel discrete approximation algorithms for the Radon transform. In: Proceedings of ACM Symposium on Parallel Algorithms and Architectures, pp. 91–99 (1992)Google Scholar
  2. 2.
    Celoxica ltd (2004) URL http://www.celoxica.com/
  3. 3.
    Chandrasekaran, S., Amira, A.: High speed/low power architectures for the finite Radon transform. In: Proceedings of International Conference on Field Programmable Logic and Applications (FPL), pp. 450–455 (2005)Google Scholar
  4. 4.
    Deans, S.: The Radon Transform and Some of its Applications. Wiley, London (1983)Google Scholar
  5. 5.
    Fahmy, S., Bouganis, C.S., Cheung, P., Luk, W.: Efficient realtime FPGA implementation of the trace transform. In: Proceedings of Field Programmable Logic and Its Applications (2006)Google Scholar
  6. 6.
    Fahmy, S., Cheung, P., Luk, W.: Novel FPGA-based implementation of median and weighted median filters for image processing. In: Proceedings of Field Programmable Logic and Its Applications (2005)Google Scholar
  7. 7.
    Frederick, M.T., VanderHorn, N.A., Somani, A.K.: Real-time H/W implementation of the approximate discrete Radon transform. In: Proceedings of IEEE International Conference on Application-Specific Systems, Architectures and Processors, pp. 399–404 (2005)Google Scholar
  8. 8.
    Kadyrov, A., Petrou, M.: The trace transform as a tool to invariant feature construction. In: Proceedings of 14th International Conference on Pattern Recognition, vol. 2, pp. 1037–1039 (1998)Google Scholar
  9. 9.
    Kadyrov, A., Petrou, M.: The trace transform and its applications. IEEE Trans. Pattern Anal. Mach. Intell. 23(8), 811–828 (2001)CrossRefGoogle Scholar
  10. 10.
    Kadyrov, A., Petrou, M.: Object signatures invariant to Affine distortions derived from the trace transform. Image Vis. Comput. 21, 1135–1143 (2003)CrossRefGoogle Scholar
  11. 11.
    Kadyrov, A., Petrou, M.: Affine parameter estimation from the trace transform. IEEE Trans. Pattern Anal. Mach. Intell. 28(10), 1631–1645 (2006)CrossRefGoogle Scholar
  12. 12.
    Mitra, A., Banerjee, S.: A regular algorithm for real time Radon and inverse radon transform. In: Proceedings of International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 105–108 (2004)Google Scholar
  13. 13.
    Petrou, M., Kadyrov, A.: Affine invariant features from the trace transform. IEEE Trans. Pattern Anal. Mach. Intell. 26(1), 30–44 (2004)CrossRefGoogle Scholar
  14. 14.
    Shapiro, V.A., Ivanov, V.H.: Real-time Hough/Radon transform: algorithm and architectures. In: Proceedings of IEEE International Conference on Image Processing (ICIP), vol. 3, pp. 630–634 (1994)Google Scholar
  15. 15.
    Shieh, E., Current, K.W., Hurst, P.J., Agi, I.: High-speed computation of the Radon transform and backprojection using an expandable multiprocessor architecture. IEEE Trans. Circuits Syst. Video Technol. 2(4), 347–360 (1992)CrossRefGoogle Scholar
  16. 16.
    Srisuk, S., Petrou, M., Kurutach, W., Kadyrov, A.: Face authentication using the trace transform. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003, vol. 1, pp. 305–312 (2003)Google Scholar
  17. 17.
    Srisuk, S., Petrou, M., Kurutach, W., Kadyrov, A.: A face authentication system using the trace transform. Pattern Anal. Appl. 8(1–2), 50–61 (2005)MathSciNetGoogle Scholar
  18. 18.
    Xilinx, Inc.: Virtex-II Platform FPGA Handbook (2000)Google Scholar

Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  • Suhaib A. Fahmy
    • 1
  • Christos-Savvas Bouganis
    • 1
  • Peter Y. K. Cheung
    • 1
  • Wayne Luk
    • 1
  1. 1.Circuits and Systems Group, EEE DepartmentImperial College LondonLondonUK

Personalised recommendations