基于MOJETTE变换的图像加密算法的数值实现

A Numerical Algorithm of Image Encryption Based on MOJETTE Transformation

近年来,随着对多媒体信息安全重视程度的逐步加深,国内外出现了一些数字图像的加密算法,但是对基于MOJETTE变换的图像加密方法研究很少,国内几乎没有相关文献。这种方法主要利用MOJETTE变换产生大量冗余的特点对图像进行加密,F.Autrusseau,J.Guédon对这种算法的原理做了阐述,并给出了数学公式。但是文献中图解参数的取值过于特殊化,对公式的解释不够详细,也没有具体说明MOJETTE变换以及在此基础上图像加密的实现算法,不利于读者对该算法的理解。文章根据F.Autrusseau,J.Géudon提出的加密原理,提出一种新的数值实现算法,并采用非特殊参数图解说明。

In recent years, as the people pay more arid more attention to security of multimedia information, some digital image encryprtion algorithms have appeared all over the world. However, there is little research on image eneryption algorithm based on MOJETTE transformation and almost no related literature. This algorithm, expounded by F. Autrusseau and J.Guedon with the formula, mainly uses the characteristic that MOJETTE transformation produces lots of redundancies to enerypt image. But the values of parameters in the literature are exceptive; the illuminations of the formula not in delait; the specific explanation of the numerical algorithm of image eneryption based on MOJETTE transformation not given. These make the readers hard to understand the algorithm. This paper proposes a new numerical algorithm, which is based on the theory expounded by F. Autrusseau and J.Guedon, and the ecumenical values of parameters are adopted for illustration.