Skip to main content

Hidden Markov Model Based 2D Shape Classification

  • Conference paper
  • 1188 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3708))

Abstract

In this paper, we propose a novel two step shape classification approach consisting of a description and a discrimination phase. In the description phase, curvature features are extracted from the shape and are utilized to build a Hidden Markov Model (HMM). The HMM provides a robust Maximum Likelihood (ML) description of the shape. In the discrimination phase, a weighted likelihood discriminant function is formulated, which weights the likelihoods of curvature at individual points of shape to minimize the classification error. The weighting scheme emulates feature selection procedure in which features important for classification are selected. A Generalized Probabilistic Descent (GPD) method based method for estimation of the weights is proposed. To demonstrate the accuracy of the proposed method, we present classification results achieved for fighter planes in terms of classification accuracy and discriminant functions.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Adamek, T., O’Connor, N.E.: A multiscale representation method for nonrigid shapes with a single closed contour. IEEE Transactions on Circuits and Systems for Video Technology 14(5), 742–753 (2004)

    Article  Google Scholar 

  2. Bicego, M., Murino, V.: Investigating hidden markov models’ capabilities in 2d shape classification. IEEE Transactions on Pattern Recognition Machine Inteligence 26(2), 281–286 (2004)

    Article  Google Scholar 

  3. Cai, J., Liu, Z.-Q.: Hidden markov models with spectral features for 2d shape recognition. IEEE Transactions on Pattern Analysis Machine Intelligence 23(12), 1454–1458 (2001)

    Article  Google Scholar 

  4. Gao, J., Kosaka, A., Kak, A.: Interactive color image segmentation editor driven by active contour model. In: Proceedings of International Conference on Image Processing, vol. 3, pp. 245–249 (1999)

    Google Scholar 

  5. He, Y., Kundu, A.: 2-d shape classification using hidden markov model. IEEE Transactions on Pattern Analysis Machine Intelligence 13(11), 1172–1184 (1991)

    Article  Google Scholar 

  6. Katagiri, S., Juang, B.-H., Lee, C.-H.: Pattern recognition using a family of design algorithms based upon the generalized probabilistic descent method. Proceedings of IEEE 86(11), 2345–2373 (1998)

    Article  Google Scholar 

  7. McDermott, E.: Handbook of Neural Networks for speech processing, ch. 5, pp. 159–216. Artech House (2000)

    Google Scholar 

  8. Petrakis, E.G.M., Diplaros, A., Milios, E.: Matching and retrieval of distorted and occluded shapes using dynamic programming. IEEE Transactions on Pattern Analysis and Machine Intelligence 24(11), 1501–1516 (2002)

    Article  Google Scholar 

  9. Rabiner, L.R.: A tutorial on hidden markov models and selected application in speech recognition. Proceedins of IEEE 77(2), 257–286 (1989)

    Article  Google Scholar 

  10. Reynolds, D.A., Rose, R.C.: Robust text-independant speaker identification using gaussian mixture models. IEEE Transactions on Speech and Audio Processing 3(1), 72–83 (1995)

    Article  Google Scholar 

  11. Zhang, D., Lu, G.: Review of shape representation and description technique. Pattern Recognition 37(1), 1–19 (2004)

    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

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Thakoor, N., Gao, J. (2005). Hidden Markov Model Based 2D Shape Classification. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2005. Lecture Notes in Computer Science, vol 3708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558484_8

Download citation

  • DOI: https://doi.org/10.1007/11558484_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29032-2

  • Online ISBN: 978-3-540-32046-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics