# On an Image Scrambling Method via Fibonacci and Lucas Numbers

## Abstract

The novel digital image scrambling method based on Fibonacci and Lucas numbers is presented. This scrambling transformation has the following

advantages: (a) Encoding and decoding are very simple and can by realized in real-time situations. (b) The scrambling effect is very good, the pixels of the image are re-distributed randomly across the whole image. © The method can endure common image attacks, such as compression, noise and loss of data packet.

## References

G. E. Bergum et al (eds.) Applications of Fibonacci Numbers. Vol. 4, 1991.

J. Zou, R. K. Ward, D. Qi. A New Digital Image Scrambling Method Based on FibonacciNumbers. IEEE, 2004.

J. Zou, R. K. Ward, D. Qi. The Generalized Fibonacci Transforms and Applicationto Image Scrambling. Proc. ICASSP 2004, pp. 385-388.

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## How to Cite

*Mathematical Problems of Computer Science*,

*30*, 54–59. Retrieved from http://mpcs.sci.am/index.php/mpcs/article/view/416

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## License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.