Skip to main content

Circular Projection for Pattern Recognition

  • Conference paper
Advances in Neural Networks – ISNN 2013 (ISNN 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7951))

Included in the following conference series:

Abstract

There are a number of methods that transform 2-D shapes into periodic 1-D signals so that faster recognition can be achieved. However, none of these methods are both noise-robust and scale invariant. In this paper, we propose a circular projection method for transforming 2-D shapes into periodic 1-D signals. We then apply a number of feature extraction methods to the 1-D signals. Our method is invariant to the translation, rotation and scaling of the 2-D shapes. Also, our method is robust to Gaussian white noise. In addition, it performs very well in terms of classification rates for a well-known shape dataset.

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. Coifman, R.R., Donoho, D.L.: Translation invariant de-noising, Wavelets and Statistics. Springer Lecture Notes in Statistics, vol. 103, pp. 125–150. Springer, New York (1994)

    Book  Google Scholar 

  2. Ramanujan, R.: On certain trigonometric sums and their applications. Trans. Cambridge Philos. Soc. 22, 259–276 (1918)

    Google Scholar 

  3. Sugavaneswaran, L., Xie, S., Umapathy, K., Krishnan, S.: Time-frequency analysis via Ramanujan sums. IEEE Signal Processing Letters 19(6), 352–355 (2012)

    Article  Google Scholar 

  4. Bui, T.D., Chen, G.Y., Feng, L.: An orthonormal-shell-Fourier descriptor for rapid matching of patterns in image database. International Journal of Pattern Recognition and Artificial Intelligence 15(8), 1213–1229 (2001)

    Article  Google Scholar 

  5. Tang, Y.Y., Li, B.F., Li, H., Lin, J.: Ring-projection-wavelet-fractal signatures: a novel approach to feature extraction. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 45(8), 1130–1134 (1998)

    Article  Google Scholar 

  6. Kingsbury, N.G.: Complex wavelets for shift invariant analysis and filtering of signals. Journal of Applied and Computational Harmonic Analysis 10(3), 234–253 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  7. Chen, G.Y., Xie, W.F.: Contour-based feature extraction using dual-tree complex wavelets. International Journal of Pattern Recognition and Artificial Intelligence 21(7), 1233–1245 (2007)

    Article  MathSciNet  Google Scholar 

  8. Chen, G.Y., Bui, T.D., Krzyzak, A.: Invariant pattern recognition using radon, dual-tree complex wavelet and Fourier transforms. Pattern Recognition 42(9), 2013–2019 (2009)

    Article  MATH  Google Scholar 

  9. Chen, G.Y., Xie, W.F.: Pattern recognition with SVM and dual-tree complex wavelets. Image and Vision Computing 25(6), 960–966 (2007)

    Article  Google Scholar 

  10. Thakoor, N., Gao, J., Jung, S.: Hidden Markov Model-Based Weighted Likelihood Discriminant for 2-D Shape Classification. IEEE Transactions on Image Processing 16(11), 2707–2719 (2007)

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chen, G., Bui, T.D., Krishnan, S., Dai, S. (2013). Circular Projection for Pattern Recognition. In: Guo, C., Hou, ZG., Zeng, Z. (eds) Advances in Neural Networks – ISNN 2013. ISNN 2013. Lecture Notes in Computer Science, vol 7951. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39065-4_52

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-39065-4_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39064-7

  • Online ISBN: 978-3-642-39065-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics