摘要
研究了 Fibonacci- Q变换及其逆变换的周期性 ,并证明了 Fibonacci变换周期与 Arnold变换周期的关系式 .利用 Fibonacci- Q变换与 Arnold变换之间的内在关系 ,定义了一种新的非线性变换—— A- F变换 ,同时对其变换周期及其逆变换周期进行了研究 ;也给出了这两类变换周期的简洁算法 .由于 A- F变换和 Fibonacci- Q变换与Arnold变换的周期性大相径庭 。
The periodicity of Fibonacci Q transformation and its inverse one is discussed. The periodic relation of Fibonacci Q and Arnold transformation is proved. Using the intrinsic relation between Fibonacci Q and Arnold transformation, a new nonlinear transformation, named A F transformation, is defined. The periodicity of A F transformation and its inverse one is studied. A simple algorithm to work out their periodicity is presented. The periodicity of A F and Fibonacci Q is quite different from that of Arnold, which shows better security in scrambling digital image.
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2001年第9期828-833,共6页
Journal of Computer-Aided Design & Computer Graphics
基金
国家基础理论"九七三"计划 (G19980 3 0 60 8)
国家自然科学基金 (196710 0 3 69873 0 0 1)资助
关键词
图像变换
非线性变换
周期性
计算机图形学
数字图像
periodicity of image transformation, nonlinear transformation, encoder, security