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A Novel Split-and-Merge Technique for Error-Bounded Polygonal Approximation

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4233))

Abstract

How to use a polygon with the fewest possible sides to approximate a shape boundary is an important issue in pattern recognition and image processing. A novel split-and-merge technique(SMT) is proposed. SMT starts with an initial shape boundary segmentation, split and merge are then alternately done against the shape boundary. The procedure is halted when the pre-specified iteration number is achieved. For increasing stability of SMT and improving its robustness to the initial segmentation, a ranking-selection scheme is utilized to choose the splitting and merging points. The experimental results show its superiority.

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References

  1. Rafael, C.G., Richard, E.W.: Digital Image Processing, pp. 648–649. Prentice-Hall, Englewood Cliffs (2002)

    Google Scholar 

  2. Sklansky, J., Gonzalez, V.: Fast Polygonal Approximation of Digitized Curves. Pattern Recognition 12, 327–331 (1980)

    Article  Google Scholar 

  3. Ray, B.K., Ray, K.S.: Determination of Optimal Polygon from Digital Curve Using L 1 Norm. Pattern Recognition 26, 505–509 (1993)

    Article  Google Scholar 

  4. Ramer, U.: An Iterative Procedure for the Polygonal Approximation of Plane Curves. Comput. Graph. Image. Process. 1, 244–256 (1972)

    Article  Google Scholar 

  5. Pikaz, A., Dinstein, I.: An Algorithm for Polygonal Approximation Based in Iterative Point Elimination. Pattern Recognition Letters 16(6), 557–563 (1995)

    Article  Google Scholar 

  6. Yin, P.Y.: Genetic Algorithms for Polygonal Approximation of Digital Curves. Int. J. Pattern Recognition Artif. Intell. 13, 1–22 (1999)

    Article  Google Scholar 

  7. Goldberge, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley, Reading (1989)

    Google Scholar 

  8. Baker, J.F.: Adaptive Selection Methods for Genetic Algorithms. In: Grefenstette, J.J. (ed.) Proc. of the 1st Int’1. Conf. on Genetic Algorithms, pp. 101–111. Lawrence Earlbaum Associates, Hilladale, NJ (1985)

    Google Scholar 

  9. Teh, H.C., Chin, R.T.: On Detection of Dominant Points on Digital Curves. IEEE Trans. Pattern Anal. Mach. Intell. 11(8), 859–872 (1989)

    Article  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Wang, B., Shi, C. (2006). A Novel Split-and-Merge Technique for Error-Bounded Polygonal Approximation. In: King, I., Wang, J., Chan, LW., Wang, D. (eds) Neural Information Processing. ICONIP 2006. Lecture Notes in Computer Science, vol 4233. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11893257_37

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  • DOI: https://doi.org/10.1007/11893257_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-46481-5

  • Online ISBN: 978-3-540-46482-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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