In this paper, a new 2D discrete chaotic system is proposed, which is called two-dimensional closed-loop modulation map with infinite collapse (2D-CLMIC). The dynamic analyses show that the 2D-CLMIC system has a large parameter space for hyper chaos, when the parameter \(\theta =0.01\) , the trajectory can occupy all phase plane which is beneficial for application in cryptography. Based on the 2D-CLMIC system, a novel encryption scheme is proposed. In this scheme, we first generate the initial values of 2D-CLMIC by global plaintext related method to ensure the image cryptosystem has enough plaintext sensitivity. Then, a pixel level permutation is done by a control matrix which is generated by the iteration sequence of 2D-CLMIC. After that, random templates which are used for overlapping diffusion are generated by the iteration sequence of 2D-CLMIC. In addition, a templates select control sequences, x-coordinate and y-coordinate select control sequences are generated by two other 2D-CLMIC systems. Finally, do the random overlapping diffusion and output the cipher image. Furthermore, simulation and analysis are given to verify the proposed image encryption system has an acceptable security performance.
