Introduction Line scan diffusion imaging (LSDI) [1] is a one-dimensional Fourier encoding techniques. The absence of phase encoding provides considerable robustness against motion and immunity to artifacts due to magnetic field inhomogeneities and susceptibility. Parallel imaging has been successfully applied to accelerate 2D and 3D Fourier imaging by reducing phase encoding steps. Here we prop...

Photon-counting imaging is integrated with optical encryption for information authentication. An image is double-random-phase encrypted, and a photon-limited encrypted image is obtained. The photon-counting encrypted image is generated with few photons and appears sparse; however, we show that it has sufficient information for decryption and authentication. The decrypted image cannot be easily ...

In this paper, we consider the soliton cellular automaton introduced in [21] with a random initial configuration. We give multiple constructions of a Young diagram describing various statistics of the system in terms of familiar objects like birth-and-death chains and Galton-Watson forests. Using these ideas, we establish limit theorems showing that if the first n boxes are occupied independent...

We perform a numerical analysis on the double random phase encryption/decryption technique. The key-space of an encryption technique is the set of possible keys that can be used to encode data using that technique. In the case of a strong encryption scheme, many keys must be tried in any brute-force attack on that technique. Traditionally, designers of optical image encryption systems demonstra...

In this paper, we investigate the usage of machine learning in the detection and recognition of double stars. To do this, numerous images including one star and double stars are simulated. Then, 100 terms of Zernike expansion with random coefficients are considered as aberrations to impose on the aforementioned images. Also, a telescope with a specific aperture is simulated. In this work, two k...

In this paper image cryptography and steganography performed in frequency domain using random phase mask encoding are presented. The use of random phase mask allows to deccorrelate initial image and makes it unrecognized. This property is used for proposed image encryption and for steganography to increase the security level of the encoded image and to make it less visible. Finally, two keys ar...