Skip to main content
SpringerLink
Log in

A Weighted Threshold Visual Cryptography

  • Conference paper
  • First Online:
New Trends in Computer Technologies and Applications (ICS 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1013))

Included in the following conference series:

Abstract

Over the past years, a visual secret sharing scheme gave each share the same ability to reconstruct the secret image. That means each participant had the same significance to reveal the secret. However, it is not realistic in real world for some applications. In this paper, the weighted \( (k,n) \)-threshold visual cryptography scheme is proposed, in which the secret image is encoded into some shares with different weights and the sum of weights for all shares has to be equal to \( n \), according to the share-holders of different priority levels. In the decoding phase, when the shares with different weights are superimposed and the sum of weights of all stacking shares is equal to or larger than \( k \), the secret is then visually recognizable. Otherwise, no information about secret image is revealed. The proposed scheme is the first weighted \( (k,n) \)-threshold visual cryptography method with no pixel expansion. It is suitable for applications in the real life.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 89.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 119.99
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. Blakley, G.: Safeguarding cryptographic keys. In: Proceedings AFIPS 1979 National Computer Conference, pp. 313–317, AFIPS Press, New York (1979)

    Google Scholar 

  2. Blundo, C., Santis, A.D., Stinson, D.R.: On the contrast in visual cryptography schemes. J. Crypt. 12, 261–289 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  3. Chao, K.Y., Lin, J.C.: User-friendly sharing of images: progressive approach based on modulus operation. J. Electronic Imaging 18(3), 0330081–0330089 (2009)

    Article  Google Scholar 

  4. Chen, S.K.: Weighted visual cryptography with non-expansible shares. J. Image Process. Commun. 5(1), 1–6 (2013)

    Google Scholar 

  5. Chen, T.H., Lee, Y.S.: Yet another friendly progressive visual secret sharing scheme. In: Fifth International Conference on Intelligent Information Hiding and Multimedia Signal Processing (2009)

    Google Scholar 

  6. Cimato, S., Prisco, R.D., Santis, A.D.: Probabilistic visual cryptography schemes. Comput. J. 49(1), 97–107 (2006)

    Article  MATH  Google Scholar 

  7. Fang, W.P.: Friendly progressive visual secret sharing. Pattern Recogn. 41, 1410–1414 (2008)

    Article  MATH  Google Scholar 

  8. Fang, W.P., Lin, J.C.: Progressive viewing and sharing of sensitive image. Pattern Recogn. Image Anal. 15(4), 632–636 (2006). https://doi.org/10.1134/S1054661806040080

    Article  Google Scholar 

  9. Homiest, T., Krause, M., Simon, H.U.: Contrast optimal k out of n secret sharing schemes in visual cryptography. Theoret. Comput. Sci. 240, 471–485 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  10. Hou, Y.C.: Visual cryptography for color images. Pattern Recogn. 36(7), 1619–1629 (2003)

    Article  Google Scholar 

  11. Hou, Y.C., Chang, C.Y., Hsu, C.S.: Visual cryptography for color images without pixel expansion. In: Proceeding of CISST 2001, vol. I, pp. 239–245, Las Vegas (2001)

    Google Scholar 

  12. Hou, Y.C., Quan, Z.Y., Tsai, C.F.: General model for the priority-based progressive visual secret sharing. Journal of C.C.I.T, 42(2), 33–48 (2013)

    Google Scholar 

  13. Naor, M., Shamir, A.: Visual cryptography. In: De Santis, A. (ed.) EUROCRYPT 1994. LNCS, vol. 950, pp. 1–12. Springer, Heidelberg (1995). https://doi.org/10.1007/BFb0053419

    Chapter  Google Scholar 

  14. Shamir, A.: How to share a secret. Commun. ACM 22(11), 612–613 (1979)

    Article  MathSciNet  MATH  Google Scholar 

  15. Thien, C.C., Lin, J.C.: Secret image sharing. Comput. Graph. 26(5), 765–770 (2002)

    Article  Google Scholar 

  16. Verheul, E.R., Van Tilborg, H.C.: Constructions and properties of k out of n visual secret sharing schemes. Design, Codes and Cryptography 11(2), 179–196 (1997). https://doi.org/10.1023/A:1008280705142

    Article  MathSciNet  MATH  Google Scholar 

  17. Viet, D.Q., Kurosawa, K.: Almost ideal contrast visual cryptography with reversing. In: Okamoto, T. (ed.) CT-RSA 2004. LNCS, vol. 2964, pp. 353–365. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-540-24660-2_27

    Chapter  Google Scholar 

  18. Wang, A., Zhang, L., Ma, N., Li, X.: Two secret sharing schemes based on boolean operations. Pattern Recogn. 40, 2776–2785 (2007)

    Article  MATH  Google Scholar 

  19. Yang, N.: New visual secret sharing schemes using probabilistic method. Pattern Recogn. Lett. 25(4), 481–494 (2004)

    Article  Google Scholar 

  20. Yang, C.N., Chen, T.S.: Aspect ratio invariant visual secret sharing schemes with minimum pixel expansion. Pattern Recogn. Lett. 26, 193–206 (2005)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This research was partially supported by Ministry of Science Technology, Taiwan, R.O.C., under contract no. MOST 105-2221-E-415 -012.

Author information

Authors and Affiliations

  1. Department of Computer Science and Information Engineering, National Chiayi University, Chiayi, Taiwan

    Tai-Yuan Tu, Tzung-Her Chen, Ji-min Yang & Chih-Hung Wang

Authors
  1. Tai-Yuan Tu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Tzung-Her Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ji-min Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Chih-Hung Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chih-Hung Wang .

Editor information

Editors and Affiliations

  1. National Yunlin University of Science and Technology, Douliu, Taiwan

    Chuan-Yu Chang

  2. National Yunlin University of Science and Technology, Douliu, Taiwan

    Chien-Chou Lin

  3. Southern Taiwan University of Science and Technology, Tainan, Taiwan

    Horng-Horng Lin

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Tu, TY., Chen, TH., Yang, Jm., Wang, CH. (2019). A Weighted Threshold Visual Cryptography. In: Chang, CY., Lin, CC., Lin, HH. (eds) New Trends in Computer Technologies and Applications. ICS 2018. Communications in Computer and Information Science, vol 1013. Springer, Singapore. https://doi.org/10.1007/978-981-13-9190-3_64

Download citation

  • DOI: https://doi.org/10.1007/978-981-13-9190-3_64

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-13-9189-7

  • Online ISBN: 978-981-13-9190-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation