中文摘要：

在传统混沌猫映射基础上提出了一种改进的三维混沌猫映射算法。该算法将图像的像素坐标和灰度值作为广义猫映射的初始值．映射参数和迭代次数作为密钥．应用到图像加密中。理论证明所提出的三维混沌猫映射改进算法具有可逆惟一性．且具有像素位置置换和替代作用。同时试验结果表明该算法对二维图像混沌加密是有效的。

英文摘要：

In this paper, a modified algorithm for 3D chaotic cat map is proposed, and applied to image encryption based on the traditional chaotic cat map. The algorithm takes the pixel＇s location and gray level as the initial condition, and the parameters and iteration number as the keys, and then is applied to encrypt the image. Theory proofs that the proposed algorithm is identically invertible, and contains permutation and substitution, which are necessary factors for a good encryption method. The experimental resuhs also show that the modified algorithm is effective to chaotic image eneryption.