亚仿射变换的性质及其应用

Property of Sub-affine Transformation and Its Application

数字图像的置乱技术是图像信息安全与隐藏的基础性工作 .基于几何中仿射变换的思想 ,提出了一类可用于图像置乱技术的亚仿射变换 ,重点研究了亚仿射变换的性质 ,给出仿射变换是亚仿射变换的必要条件 ,讨论了亚仿射变换的周期性 .实验结果表明 :亚仿射变换有较好的置乱效果 ,从图像信息加密的安全性角度看 ,它优于Arnold 。

Scrambling is the basic means for hiding huge image information. A subset of affine transformation with integer coefficients and invariance of image area is introduced to realize the scrambling of digital image. Necessary conditions and properties of sub affine transformation are given. The periodicity of sub affine transformation of digital images is discussed. Experimental results show that sub affine transformation scrambling is superior to Arnold transformation, Fibonacci transformation and geometric transformation.