The Research Of Fractal Algorithm And Application

Fractal is a powerful tool that can describe roughness and irregular geometric shapes in the nature or in the non-linear system. Many facts show that fractal widely exists in the nature, and spreads all over fields such as mathematics, physics, chemistry, material science, biology and medicine, geography, earthquake and astronomy, computer science and so on. The research on fractal has both important theoretical significance and extensive applied value.Based on the analyses and study of the constructing fractal image's escape time algorithm, this article redefined the escape time function and provides the accelerated escape time algorithm. Through a great lot data validation, keeping the aboriginal-precision, this algorithm makes the efficiency increase prominently. The graphs drawn by the new algorithm, make you feel well. The author brings forward two supposes about general M-set and J-set that are proved by constructing lots of general M-set and J-set . The author also testified some characters of general M-set.Moreover, the author researches on the application of fractal theory and codes the L-system demonstrating program, according to the theory of L-system, by using VB program language, which simulates the plant image in the nature well. Furthermore, according to the Iterated Function System(IFS), the author, using iterated algorithm, only uses few data to make up complex natural sceneries like mountain appearance, and it can be greatly used in command of military affairs, making cartoon, decorating architecture, virtual reality, and so on. While if using the traditional graphing method, it needs lots of data, moreover, wastes store and time.