An Image Encryption and Sharing Algorithm Based on Chaos and Indeterminate Equation

In this paper, we not only improve image sharing and image encryption algorithm, which is based on indeterminate equation using the theory of chaos, but also bring forward a new kind of image sharing algorithm which could engender the subimage as small as half of the original image. Moreover, we took some experiments to testify our theory. The experiments´ results in the paper manifests that it is effective to enhance the security of image sharing and image encryption by using the theory of chaos. In addition, this new kind of image sharing algorithm possesses excellent complexity of time and space, as well as security.