Image encryption by redirection and cyclical shift

Artyom M. Grigoryan; Bryan A. Wiatrek; Sos S. Agaian

doi:10.1117/12.2179275

21 May 2015 Image encryption by redirection and cyclical shift

Artyom M. Grigoryan, Bryan A. Wiatrek, Sos S. Agaian

Proceedings Volume 9497, Mobile Multimedia/Image Processing, Security, and Applications 2015; 94970U (2015) https://doi.org/10.1117/12.2179275
Event: SPIE Sensing Technology + Applications, 2015, Baltimore, MD, United States

Abstract

In this paper, we present a novel method for encrypting and decrypting large amounts of data such as two-dimensional (2-D) images, both gray-scale and color, without the loss of information, and using private keys of varying lengths. The proposed method is based on the concept of the tensor representation of an image and splitting the 2-D discrete Fourier transform (DFT) by one-dimensional (1-D) DFTs of signals from the tensor representation, or transform. The splitting of the transform is accomplished in a three-dimensional (3-D) space, namely on the 3-D lattice placed on the torus. Each splitting-signal of the image defines the 2-D DFT along the frequency-points located on the spirals on the torus. Spirals have different form and cover the lattice on the torus in a complex form, which makes them very effective when moving data through and between the spirals, and data along the spirals. The encryption consists of several iterative applications of mapping the 3-D torus into several ones of smaller sizes, and rotates then moves the data around the spirals on all tori. The encryption results in the image which is uncorrelated. The decryption algorithm uses the encrypted data, and processes them in inverse order with an identical number of iterations. The proposed method can be extended to encrypt and decrypt documents as well as other types of digital media. Simulation results of the purposed method are presented to show the performance for image encryption.

Citation Download Citation

Artyom M. Grigoryan, Bryan A. Wiatrek, and Sos S. Agaian "Image encryption by redirection and cyclical shift", Proc. SPIE 9497, Mobile Multimedia/Image Processing, Security, and Applications 2015, 94970U (21 May 2015); https://doi.org/10.1117/12.2179275

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
12 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Image encryption

Image processing

Digital imaging

Fourier transforms

Cameras

Neodymium

RGB color model

Show All Keywords

Keywords/Phrases

Search In:

Publication Years