Skip to main content

Genetic Fourier Descriptor for the Detection of Rotational Symmetry

  • Conference paper
Fuzzy Logic and Applications (WILF 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2955))

Included in the following conference series:

  • 620 Accesses

Abstract

In this paper, a Genetic Fourier Descriptors is proposed to detect rotational symmetry. Rotational symmetry is one of the important features for image decoding and object recognition in computer vision systems. In the Genetic Fourier algorithm, the Fourier descriptors are chromosomes and fitting function of the GA. The Genetic Fourier method has the following advantages. (1) It can handle partially occurred contour and opened contour, (2) It can handle complex point pattern, (3) It can obtain multiple perceptions and (4) It is highly parallel and its efficient can be greatly improved if parallel processors are used. Experimental results show that it can handle complex symmetry figures, these symmetry figures may be formed by separated curves, points or partially occurred or partially missed (open contour).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Granlund, G.H.: Fourier preprocessing for hand print character recognition. IEEE Trans. Comput. C-21, 195–201 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  2. Han, K.P., Song, K.W., Chung, E.Y., Cho, S.J., Ha, Y.H.: Stereo matching using genetic algorithm with adaptive chromosomes. Pattern Recognition 34, 1729–1740 (2001)

    Article  MATH  Google Scholar 

  3. Lin, C.S., Hwang, C.L.: New forms of shape invariants from elliptic Fourier descriptors. Pattern Recognition 20(5), 535–545 (1987)

    Article  Google Scholar 

  4. Yip, K.K., Tam, K.S.: Application of Elliptic Fourier Descriptors to Symmetry Detection Under Parallel Projection. IEEE Trans. on PAMI 16(3) (March 1994)

    Google Scholar 

  5. Yip, K.K.: A Hough Transform Technique for the Detection of Parallel Projected Rotational Symmetry. Pattern Recognition Letters 20, 991–1004 (1999)

    Article  MATH  Google Scholar 

  6. Yuen, S.Y., Ma, C.H.: Genetic algorithm with competitive image labelling and least square. Pattern Recognition 33, 1949–1966 (1999)

    Article  MATH  Google Scholar 

  7. Zhan, C.T., Roskies, R.Z.: Fourier descriptors for plane closed curves. IEEE Trans. Comput. C-21(3), 269–281 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, L., Xu, W., Chang, C.: Genetic algorithm for affine point pattern matching. Pattern Recognition Letters 24, 9–19 (2003)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Yip, R.K.K. (2006). Genetic Fourier Descriptor for the Detection of Rotational Symmetry. In: Di Gesú, V., Masulli, F., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2003. Lecture Notes in Computer Science(), vol 2955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10983652_29

Download citation

  • DOI: https://doi.org/10.1007/10983652_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31019-8

  • Online ISBN: 978-3-540-32683-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics