Research And Application On Fractal Graphics

Fractal is a new branch of the science form the area of nonlinear,researching irregular form and structure, which can realistically express many things,such as mountain,tree and so on,that can not be expressed by the traditional mathematics. Fractal is widely used in many fields such as the image data compression,simulation of natural scenery, the growing of fractal geometry and the research of chaos motility system.This article makes exploratory research on the relationship between plant and environment on the basis of L-system,then it gives a simulation of plant controlled by multi-parameter used the VB language. This model is applied to building nature scenery, matching construction, and creating 3D cartoon.Based on the algorithm of IFS,the fractal pictures of Sierpinski triangle and pyramid,fractal tree. And several simulating techniques for color tree based on IFS are explored. Furthermore, the influences of iteration probability and the attractor of IFS on true color are studied.Then, this article gives several fractal patterns that are applied to product design by analyzing and researching the arithmetic of escape-time. And many fractal pictures based on Julia are worked out to apply on product design by a new method.Finally, the comparison among L system, IFS and complex-function system is carried on, and some useful ways are brought forward along with their disadvantage and advantage.