Skip to main content

A New Approach on Color Image Encryption Using Arnold 4D Cat Map

  • Conference paper
  • First Online:
Book cover Computational Intelligence in Data Mining—Volume 1

Abstract

To secure multimedia content such as digital color images, chaotic map can be used to shuffle or encrypt the original pixel positions of an image. A chaotic map such as Arnold cat map is used to encrypt images as the behavior is periodic and deterministic given the correct key values. Even a small change also cannot predict the behavior and properties of image. To secure digital color images, Arnold cat map is being used to encrypt and send it across public network. Various dimensions of Arnold cat map can be used to achieve greater level of secrecy and confusion. In this paper, our work has been extended to encrypt digital color images using Arnold 4D cat map. Here, the color image has been decomposed to its respective RGB planes. The plane’s pixel positions and gray scale values are then shuffled using Arnold 3D cat map. Then the resulting shuffled encrypted planes (red, green and blue) are divided into 3 parts vertically respectively. The parts of each plane are shuffled in a specific proposed manner with the parts of other planes to achieve greater level of diffusion and secrecy. Each plane holds information of two other planes. The result and analysis shows better result than Arnold 3D cat map used in image encryption.

The original version of this chapter was revised: The erratum to this chapter is available at DOI 10.1007/978-81-322-2734-2_49

An erratum to this chapter can be found at http://dx.doi.org/10.1007/978-81-322-2734-2_49

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Kabi, K.K., Pradhan, C., Saha, B.J., Bisoi, A.K.: Comparative study of image encryption using 2D chaotic map. In: International Conference on Information Systems and Computer Networks, IEEE, pp. 105–108 (2014)

    Google Scholar 

  2. Peterson, G.: Arnold’s Cat Map, Math 45-Linear Algebra, pp. 1–7 (1997)

    Google Scholar 

  3. Zhang, R., Wang, H., Wang, Y.: A novel image authentication based on semi-fragile watermarking. In: International Joint Conference on Computational Sciences and Optimization, IEEE, pp. 631–634 (2012)

    Google Scholar 

  4. Kabi, K.K., Saha, B.J., Arun, Pradhan C.: Implementation of new framework for image encryption using Arnold 3D cat map. In: Information Systems Design and Intelligent Applications, Vol. 1, pp. 379–384. Springer (2015)

    Google Scholar 

  5. Ding, M.: Digital image encryption algorithm based on improved Arnold transform. In: International Forum on Information technology and Applications, IEEE, pp. 174–176 (2010)

    Google Scholar 

  6. Jin, X.: A digital watermarking algorithm based on wavelet transform and Arnold. In: International Conference on Computer Science and Service System, IEEE, pp. 3806–3809 (2011)

    Google Scholar 

  7. Ye, G., Wong, K.W.: An efficient chaotic image encryption algorithm based on a generalized Arnold map. Nonlinear Dyn. 69(4):2079–2087. Springer (2012)

    Google Scholar 

  8. Pradhan, C., Saxena, V., Bisoi, A.K.: Imperceptible watermarking technique using Arnold’s transform and cross chaos map in DCT domain. International Journal of Computer Applications 55(15), 50–53 (2012)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chittaranjan Pradhan .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer India

About this paper

Cite this paper

Saha, B.J., Kabi, K.K., Pradhan, C. (2016). A New Approach on Color Image Encryption Using Arnold 4D Cat Map. In: Behera, H., Mohapatra, D. (eds) Computational Intelligence in Data Mining—Volume 1. Advances in Intelligent Systems and Computing, vol 410. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2734-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-81-322-2734-2_14

  • Published:

  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2732-8

  • Online ISBN: 978-81-322-2734-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics