基于Mandelbrot集的图像加密算法研究

Research Significance of Image Encryption Algorithm Based on Mandelbrot Set

非线性理论是一门描述复杂系统结构的新兴形态的边缘科学,它包含了分形、混沌等很重要的数学概念,更加侧重分形学中具有重要意义的Mandelbrot集的分形结构图形。在分形学中,基于Mandelbrot集图形的设计有过很多研究,一是通过计算机编程语言,利用Mandelbrot集的图形生成原理,使得计算机产生各种各样规则或不规则的Mandelbrot集图形;二是通过改变Mandelbrot集内部的参数信息和建立好的数学模型,能够得到不断变化的Mandelbrot集图形。通过建立好的数学模型来对一些信息进行管理,并记录好这些管理模型的信息参数,在此基础上就能够设计出设计者根据建立好的模型所得到的图形图像信息。

Nonlinear theory is a marginal science that describes the emerging forms of complex system structures. It contains fractal,chaos and other important mathematical concepts. More focused on the fractal structure of the important Mandelbrot set of fractal graphics. In the fractal,Mandelbrot set graphics is based on the design of a lot of research,first through the computer programming language,using Mandelbrot set of graphics generation principle,making the computer produce a variety of rules or irregular Mandelbrot set graphics;By changing the parameters of the Mandelbrot set and building a good mathematical model,can we get the changing Mandelbrot set graphics. Through the establishment of good mathematical model to manage some information,and recording of the information model of these management parameters,on whose basis it can only be designed based on the designer to get a good model of the graphics and image information.