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首页> 外文会议>Proceedings of the 9th international conference for young computer scientists (ICYCS 2008) >A Generalized Matrix-based Scrambling Transformation and its Properties
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A Generalized Matrix-based Scrambling Transformation and its Properties

机译：基于广义矩阵的加扰变换及其性质

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摘要

This paper presents a generalized scrambling scheme based on matrix transformation. We deduce some important properties of the scrambling transformation including its periodicity and synchronousness based on this generalized model and the matrix algebra theory. For the widely used equi-module transformation scrambling, a few theorems about how to calculate the scrambling transformation period and the recovery transformation for the scrambled image are given. A new measure of scrambling degree based on the modified ratio of unchanged pixels is proposed. Experimental results show that these newly proposed theorems are useful in calculating the period and the recovery transformation. The calculated scrambling degree using the new measure for scrambling performance analysis is well accordant with that of inspection by human visual system.
机译：本文提出了一种基于矩阵变换的广义加扰方案。基于这种广义模型和矩阵代数理论，我们推论了加扰变换的一些重要特性，包括其周期性和同步性。对于广泛使用的等模变换加扰，给出了一些关于如何计算加扰图像的加扰变换周期和恢复变换的定理。提出了一种基于像素不变的修正比率的加扰度度量方法。实验结果表明，这些新提出的定理可用于计算周期和恢复转换。使用该新方法对加扰性能进行分析得出的加扰度与人眼视觉系统检查的加扰度非常吻合。

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