Image encryption based on singular value decomposition and Arnold transform in fractional domain

In this paper, we have proposed a new image encryption algorithm based on singular value decomposition and Arnold transform. An original image is first transformed in fractional domain by FRFT, and then decomposed into three segments by SVD. All these three parts are Arnold transformed different number of times to enhance the security. The three encoded images can be kept in several places or assigned to a group of authorized persons. But all the three parts should be provided in the decryption, and inverse Arnold transformed corresponding times, multiplied in correct order and inverse fractional Fourier transformed with right fractional orders, and finally the total correct information can be reconstructed. Otherwise, people cannot obtain the information easily. Some computer simulations are presented to verify the possibility. (c) 2012 Elsevier B.V. All rights reserved.