Fractal Pattern Generation Study

Fractal is a new branch of the science form the area of nonlinear in the twenty century , which can express such as mountain, tree and so on lifelike-ly that can' t be expressed in the traditional mathematics . Fractal is widely used in many fields such as the image data compression , simulation of natural scenery, Fractal geometry' s growing and the researcher of chaos motility system and so on.Based on IFS codes and the algorithm of IFS , the fractal pictures of Sierpinski triangle, fractal mountain, fractal tree, three-dimensional leaves, orchard and so on are simulated by VB programming. But the reverse question is more important, that is, to obtain IFS codes from that have already exsited image, conception or outlined. Therefore, it is very necessary to research the characteristic and look for the iterated regulation of IFS. Firstly, by the experiment and analysis , the fractal images are realized between the tree and the triangle through contract the difference of their IFS codes gradually. Secondly, it is not the same fractal diagram by the same codes of IFS to produce fractal diagram. The two graphs are extraordinary similar, but they are different in detail. The problem is researched and the algorithm which calculates the intersection points of two graphs created by the same coefficient of the IFS is proposed. The curve described changing of the intersection points number is drawn. The conclusion is that the curve fluctuates in the tiny range and is smooth when it is seen as a whole. In fact, the curve is a fractal curve. Lastly, with computer experiments and Julia set in broad sense, the design of the pattern of various arts can be realized. Fictional nature sights appear by compounding each single picture.