【作者】 王钲旋； 徐长青； 庞云阶；

【Author】 Wang Zhengxuan Xu Changqing Pang YunjieDepartment of Computer Science, Jilin Umversity, Changchun, 130012

【机构】 吉林大学计算机科学系；

【摘要】 利用迭代过程在复平面上生成对称分形艺术图形的Newton-Raphson方法及其改进取得了很好的效果,但仍然存在对生成图形形状不能很好控制和预先设计等缺点。本文提出一个新的改进方法,即可以利用Newton-Raphson迭代的一种推广来引入参数,使能够更明确地控制图形生成过程;可以利用多项式的根在复平面上的分布构造用于迭代的计算式,使能够对生成图形进行预先设计。提出改进形成了对称分形艺术图形设计与生成的一个新的方法,文中给出了新方法实现的一些实验结果。更多还原

【Abstract】 The resulting of symmetric fractal art images on the complex plane with Newton-Raphson iterative procedure and its improved method is very effective, but there are some shortcomings such as unclear controlling of generating procedure and unknown design in advance. A new improved method is presented. With the method the controlling parameters are inlaid by means of a generalized Newton-Raphson iterative formula, and therefore the generating procedure of the fractal art images can be controlled more clearly. The formulas that used in the iterative procedure are build by means of the distribution of the roots of polynomial equation on the plane, and therefore the generating images are designed in advance. The experimental results of the new method are also described.更多还原