Image encryption using generalized tent map

This paper introduces two generalized tent maps where the conventional map is a special case. Although the output of the conventional tent map shows different responses, it has only one control parameter that limits its behavior and applications. The proposed generalized tent maps increase the degrees of freedom and produce a versatile response that can fit many applications. The characteristics of each generalization are discussed such as: fixed points, bifurcation diagrams, and Lyapunov exponents. Finally, a simple image encryption application, based on the generalized tent maps, is presented for the design of long encryption key using the added parameters. Moreover, statistical and sensitivity analysis are presented to demonstrate the benefits of the generalized maps.