几种基于分形思想的图像生成技术

Several methods for image generation based on fractal theory

以分形思想为基础 ,探索了三种基于一般 IFS的计算机图像生成技术——带概率的、带凝聚的和带参数的 IFS.带概率的 IFS中 ,n个变换的频率各异 ,使各变换有主次之分 ,图像色彩有浓淡之差 ,更接近真实 ;带凝聚的 IFS包含两类不同变换 :在某处的凝聚变换和在空间不同方向上的延伸变换 ;带参数的 IFS在比例系数、旋转系数和位移系数中加入参数以控制 IFS码 ,使图像不断地按既定构想变化以形成动画 .通过一系列实例说明 ,这三种方法对实现图像的“明暗虚实”、“树木成林”及“动画”所起的作用 .

Fractal theory was used to derive the following three IFS based improved image generation methods: IFS with probabilities method, coherence transformation method, and parameters method. In the IFS with probabilities method, the frequencies of the n transformations are different, which makes some transformations more important than others; some colors richer than others, the images true to life reality. The IFS with coherence method involves two different transformations: coherent ones at some positions and stretched ones in different directions in space. The IFS with parameters method involves proportion, rotation and displacement parameters that control IFS codes and make images change continuously according to predetermined design and generate animations. A series of image examples are given to show the effects of the methods, namely, !Change of brightness', !From tree to forest' and !animation'.