Robust and blind watermarking technique in DCT domain using inter-block coefficient differencing

In this paper, we propose a new method for optical image encryption using fractional Fourier transform, DNA sequence operation and chaos theory. Random phase masks are generated using iterative Lorenz map and the plain image is transformed to a DNA matrix. This matrix is combined with the random phase mask and then transformed three times using the fractional Fourier transform. An Optical implementation of the encryption algorithm is proposed in our work. According to the experiment results and security analysis, we find that our algorithm has good encryption effect, larger secret key space and high sensitivity to the secret key. It can resist to most known attacks, such as statistical analysis and exhaustive attacks. All these features show that our encryption algorithm is very suitable for digital image encryption.

A novel chaos based optical image encryption using fractional Fourier transform and DNA sequence operation

Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform

A novel chaotic image encryption algorithm using block scrambling and dynamic index based diffusion

Over the last decade, it has been demonstrated that many systems in science and engineering can be modeled more accurately by fractional-order than integer-order derivatives, and many methods are developed to solve the problem of fractional systems. Due to the extra free parameter order, fractional-order based methods provide additional degree of freedom in optimization performance. Not surprisingly, many fractional-order based methods have been used in image processing field. Herein recent studies are reviewed in ten sub-fields, which include image enhancement, image denoising, image edge detection, image segmentation, image registration, image recognition, image fusion, image encryption, image compression and image restoration. In sum, it is well proved that as a fundamental mathematic tool, fractional-order derivative shows great success in image processing.

Jun Lang

Papers

Blind digital watermarking method in the fractional Fourier transform domain

Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform and chaos permutation

Novel image fusion method based on adaptive pulse coupled neural network and discrete multi-parameter fractional random transform