Skip to main content

Shape Clustering as a Type of Procrustes Analysis

  • Conference paper
  • First Online:
Neural Information Processing (ICONIP 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11304))

Included in the following conference series:

Abstract

The ordinary Procrustes sum of squares is one of the most important measures in Procrustes analysis of shape. In this paper, we incorporate a competitive learning scheme into Procrustes analysis. We introduce a measure of distance between the landmarks of shapes for a competitive learning scheme. Thus, we present novel shape clustering as a type of Procrustes analysis. Using datasets of line drawings and outlines, we show that shape clustering performs well for shape classification compared with shape clustering founded on typical vector-based distances.

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 EPUB and 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

References

  1. Dryden, I.L., Mardia, K.V.: Statistical Shape Analysis with Applications in R. Wiley Series in Probability and Statistics, 2nd edn. Wiley, Chichester (2016)

    Google Scholar 

  2. Ferrari, V.: ETHZ Shape Classes, September 2009. http://www.vision.ee.ethz.ch/datasets/index.en.html

  3. Ferrari, V., Jurie, F., Schmid, C.: From images to shape models for object detection. Int. J. Comput. Vis. 87(3), 284–303 (2010)

    Article  Google Scholar 

  4. Hubert, L., Arabie, P.: Comparing partitions. J. Classif. 2(1), 193–218 (1985)

    Article  Google Scholar 

  5. Kent, J.T., Mardia, K.V.: Shape, procrustes tangent projections and bilateral symmetry. Biometrika 88(2), 469–485 (2001)

    Article  MathSciNet  Google Scholar 

  6. Kohonen, T.: Self-Organizing Maps. Springer Series in Information Sciences, vol. 30. Springer, Heidelberg (2001). https://doi.org/10.1007/978-3-642-56927-2

    Book  MATH  Google Scholar 

  7. Kuncheva, L.I., Hadjitodorov, S.T.: Using diversity in cluster ensembles. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, pp. 1214–1219. IEEE, The Hague, October 2004

    Google Scholar 

  8. Likas, A.: A reinforcement learning approach to online clustering. Neural Comput. 11(8), 1915–1932 (1999)

    Article  Google Scholar 

  9. Okamoto, T., Iwata, K.: Data set of skewed line drawings, September 2017. http://www.prl.info.hiroshima-cu.ac.jp/~kiwata/okamotoiwata/

  10. Okamoto, T., Iwata, K., Suematsu, N.: Extending the full procrustes distance to anisotropic scale in shape analysis. In: Proceedings of the 4th Asian Conference on Pattern Recognition, pp. 634–639. IAPR, Nanjing, December 2017. https://doi.org/10.1109/ACPR.2017.139

  11. Ruder, S.: An overview of gradient descent optimization algorithms, June 2017. http://ruder.io/optimizing-gradient-descent/

  12. Zelditch, M.L., Swiderski, D.L., Sheets, H.D.: Geometric Morphometrics for Biologists: A Primer, 2nd edn. Elsevier Academic Press, Amsterdam (2012)

    Chapter  Google Scholar 

Download references

Acknowledgments

We wish to thank Yoshitaka Toda for his support with the experiments. We thank Maxine Garcia, PhD, from Edanz Group (www.edanzediting.com/ac) for editing a draft of this manuscript. This work was supported in part by JSPS KAKENHI Grant Number JP16K00308 and Hiroshima City University TOKUTEI-KENKYUHI Grant Number 1150347.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Kazunori Iwata .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Iwata, K. (2018). Shape Clustering as a Type of Procrustes Analysis. In: Cheng, L., Leung, A., Ozawa, S. (eds) Neural Information Processing. ICONIP 2018. Lecture Notes in Computer Science(), vol 11304. Springer, Cham. https://doi.org/10.1007/978-3-030-04212-7_19

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-04212-7_19

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04211-0

  • Online ISBN: 978-3-030-04212-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics