Images with cyclic or dihedral symmetry generatedby complex dynamical (Chinese)systems
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摘要: 探讨了从动力系统角度生成具有循环群和二面体群对称性图像的轨迹井方法，并给出了构造对称轨迹井的理论依据.构造具有Cn和Dn对称性的函数作为迭代函数系统，对生成的点序列进行轨迹井跟踪，同时结合调色板技术提出一种新的绘色算法，生成具有很强艺术效果的Cn和Dn对称性图像.Abstract: This paper explored the orbit trap methods for generating images with cyclic or dihedral symmetry from a dynamical system's point of view, and illustrated the mathematical principles of the construction of the symmetric orbit traps. Constructing the function with Cn or Dn symmetry, tracking the series of points corresponding to the function and introducing a new coloring algorithm derived from colormap technique, visually fascinating images with Cn or Dn symmetry can be created.
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