Skip to main content

Analysis of Moment Invariants on Image Scaling and Rotation

  • Conference paper
  • First Online:
Innovations in Computing Sciences and Software Engineering

Abstract

Moment invariants have been widely applied to image pattern recognition in a variety of applications due to its invariant features on image translation, scaling and rotation. The invariant properties are strictly invariant for the continuous function. Normally, images in practical applications are discrete. Consequently, the moment invariants may change over image geometric transformation. To address this research problem, an analysis with respect to the variation of moment invariants on image geometric transformation is presented in this paper, i.e., scaling and rotation. The guidance is also provided for minimizing the fluctuation of moment invariants.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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. Hu Ming-Kuei, “Visual pattern recognition by moment invariants,” Information Theory, IRE Transactions, vol. 8, pp. 179-187, 1962.

    Google Scholar 

  2. M. Schlemmer, M. Heringer, et al., “Moment Invariants for the Analysis of 2D Flow Fields,” Visualization and Computer Graphics, IEEE Transactions on, vol. 13, pp. 1743-1750, 2007.

    Article  Google Scholar 

  3. Yaser S. Abu-Mostafa and Demetri Psaltis, “Recognitive Aspects of Moment Invariants,” Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol. PAMI-6, pp. 698-706, 1984.

    Article  Google Scholar 

  4. Chen Qing, Petriu Emil, et al., “A comparative study of Fourier descriptors and Hu’s seven moment invariants for image recognition,” in Electrical and Computer Engineering, 2004. Canadian Conference on, 2004, pp. 103-106 Vol.1.

    Google Scholar 

  5. J. Flusser, B. Zitova, et al., “Invariant-based registration of rotated and blurred images,” in Geoscience and Remote Sensing Symposium, 1999. IGARSS ’99 Proceedings. IEEE 1999 International, 1999, pp. 1262-1264.

    Google Scholar 

  6. Jan Flusser and Tomas Suk, “A Moment-based Approach to Registration of Images with Affine Geometric Distortion,” IEEE transaction on Geoscience and Remote Sensing, vol. 32, pp. 382-387, 1994.

    Article  Google Scholar 

  7. G. I. Salarna and A. L. Abbott, “Moment invariants and quantization effects,” in Computer Vision and Pattern Recognition, 1998. Proceedings. 1998 IEEE Computer Society Conference on, 1998, pp. 157-163.

    Google Scholar 

  8. CHO-HUAK TEH and ROLAND T. CHIN, “On Image Analysis by the Methods of Moments,” IEEE Transactions on Pattern Analysis and machine Intelligence, vol. 10, pp. 496-513, 1988.

    Article  MATH  Google Scholar 

  9. Rafael C. Gonzalez and Richard E. Woods, Digital Image Processing(Third Edition): Prentice Hall, 2007.

    Google Scholar 

Download references

Acknowledgement

Mr Z. Huang, as a visiting fellow at ECU, helped with digital image preparation.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dongguang Li .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer Science+Business Media B.V.

About this paper

Cite this paper

Li, D. (2010). Analysis of Moment Invariants on Image Scaling and Rotation. In: Sobh, T., Elleithy, K. (eds) Innovations in Computing Sciences and Software Engineering. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9112-3_70

Download citation

  • DOI: https://doi.org/10.1007/978-90-481-9112-3_70

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9111-6

  • Online ISBN: 978-90-481-9112-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics