Sub-shaped Pattern Generation Methods And Performance

The theories of fractal have developed by using fractal graphics generation technology into all kinds of fields.This paper is devoted to seeking formulas and rules of representation for generating new fractal graphics.The main works are as followed:(l)construct new formulas for new fractal aspectsAfter revisited methods for the visualisation of Mandelbrot and Julia sets based on IFS ,we described the other new formulas originating from Z â†' Z2 + C .Including Norton and polynomials Iterated Function, which have integer index instead quadratic index, we also constructed formulas with complex number index.3-D dynamical system is discussed then. Besides the most widely used sequential visualisation methods, we designed two methods to change the original vectors and get new graphics with special effects.(2)Studying rules of representationWe introduced two selecting-color systems in this paper. One is based on classical color palette, the other is using RGB to compose colors. After that, we experimented with new methods of areas built by plan curves. We also tried to mix two graphics to make a new one.(3)Designing and developing" Fractal Modeling System"We developed an graphics generating system by using Visual Basic 6.0. The two kinds of API functions is playing important roles for generating graphics in this system. We can zoom in a part of the graphic to the whole scene. By using this system, a lot of wonderful fractal pictures can justified our work as necessary and viable.