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Computing Distance Maps Efficiently Using An Optical Bus

  • Yi Pan
  • Yamin Li
  • Jie Li
  • Keqin Li
  • Si-Qing Zheng
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1800)

Abstract

This paper discusses an algorithm for finding a distance map for an image efficiently using an optical bus. The computational model considered is the arrays with a reconfigurable pipelined bus system (LARPBS), which is introduced recently based on current electronic and optical technologies. It is shown that the problem for an n × n image can be implemented in O(log n log log n) time deterministically or in O(log n) time with high probability on an LARPBS with n 2 processors. We also show that the problem can be solved in O(log log n) time deterministically or in O(l) time with high probability on an LARPBS with n 3 processors. The algorithm compares favorably to the best known parallel algorithms for the same problem in the literature.

Keywords

Black Pixel Processor Array Left Region Information Processing Letter Euclidean Distance Transformation 
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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References

  1. 1.
    T. Bossomaier, N. Isidoro, and A. Loeff, “Data parallel computation of Euclidean distance transforms,” Parallel Processing Letters, vol. 2, no. 4, pp. 331–339, 1992.CrossRefGoogle Scholar
  2. 2.
    L. Chen and H. Y. H. Chuang, “A fast algorithm for Euclidean distance maps of a 2-D binary image,” Information Processing Letters, vol. 51, pp. 25–29, 1994.zbMATHCrossRefMathSciNetGoogle Scholar
  3. 3.
    L. Chen and H. Y. H. Chuang, “An efficient algorithm for complete Euclidean distance transform on mesh-connected SIMD,” Parallel Computing, vol. 21, pp. 841–852, 1995.zbMATHCrossRefGoogle Scholar
  4. 4.
    D. Chiarulli, R. Melhem, and S. Levitan, “Using Coincident Optical Pulses for Parallel Memory Addressing,” IEEE Computer, vol. 20, no. 12, pp. 48–58, 1987.Google Scholar
  5. 5.
    M.N. Kolountzakis and K.N. Kutulakos, “Fast computation of Euclidean distance maps for binary images,” Information Processing Letters, vol. 43, pp. 181–184, 1992.zbMATHCrossRefMathSciNetGoogle Scholar
  6. 6.
    R. Melhem, D. Chiarulli, and S. Levitan, “Space Multiplexing of Waveguides in Optically Interconnected Multiprocessor Systems,” The Computer Journal, vol. 32, no. 4, pp. 362–369, 1989.CrossRefGoogle Scholar
  7. 7.
    Yi Pan and Keqin Li, “Linear array with a reconfigurable pipelined bus system: concepts and applications,” Special Issue on “Parallel and Distributed Processing” of Information Sciences, vol. 106, no. 3/4, pp. 237–258, May 1998. (Also appeared in International conference on Parallel and Distributed Processing Techniques and Applications, Sunnyvale, CA, August 9–11, 1996, 1431–1442)Google Scholar
  8. 8.
    Y. Pan, K. Li, and S.Q. Zheng, “Fast nearest neighbor algorithms on a linear array with a reconfigurable pipelined bus system,” Parallel Algorithms and Applications, vol. 13, pp. 1–25, 1998.zbMATHMathSciNetGoogle Scholar
  9. 9.
    S. Rajasekaran and S. Sahni, “Sorting, selection and routing on the arrays with reconfigurable optical buses,” IEEE Transactions on Parallel and Distributed Systems, vol. 8, no. 11, pp. 1123–1132, Nov. 1997.CrossRefGoogle Scholar
  10. 10.
    J. L. Trahan, A. G. Bourgeois, Y. Pan, and R. Vaidyanathan, “Optimally scaling permutation routing on reconfigurable linear arrays with optical buses,” Proc. of the Second Merged IEEE Symposium IPPS/SPDP’ 99, San Juan, Puerto Rico, pp. 233–237, April 12–16, 1999.Google Scholar
  11. 11.
    H. Yamada, “Complete Euclidean distance transformation by parallel operation,” Proc. 7th International Conference on Pattern Recognition, pp. 69–71, 1984.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Yi Pan
    • 1
  • Yamin Li
    • 2
  • Jie Li
    • 3
  • Keqin Li
    • 4
  • Si-Qing Zheng
    • 5
  1. 1.University of DaytonDaytonUSA
  2. 2.The University of AizuAizu-WakamatsuJapan
  3. 3.University of Tsukuba Tsukuba Science CityIbarakiJapan
  4. 4.State University of New York New PaltzNew YorkUSA
  5. 5.University of Texas at Dallas RichardsonTXUSA

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