Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes

Aloka Sinha; Kehar Singh

doi:10.1117/1.1906240

1 May 2005 Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes

Aloka Sinha, Kehar Singh

Author Affiliations +

Optical Engineering, Vol. 44, Issue 5, 057001 (May 2005). https://doi.org/10.1117/1.1906240

Abstract

We propose a new method for image encryption and decryption in which the image is broken up into bit planes. Each bit plane undergoes a jigsaw transform. The transformed bit planes are combined together and then encrypted using random phase masks and fractional Fourier transforms. The different fractional parameters, the random phase codes, and the jigsaw transform index form the key to the encrypted data. This increases the robustness of the encryption system by several orders of magnitude. Different variations of the juxtaposition of the pieces of the image are also considered. These include the rotated version of the jigsaw pieces. The computational complexity of the bit-plane-based jigsaw algorithm is further improved using the third dimension (i.e., along different bit planes) for scrambling as well. The results of computer simulation are presented to verify the proposed idea and analyze the performance of the proposed techniques.

©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Aloka Sinha and Kehar Singh "Image encryption by using fractional Fourier transform and jigsaw transform in image bit planes," Optical Engineering 44(5), 057001 (1 May 2005). https://doi.org/10.1117/1.1906240

Published: 1 May 2005

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