Fractal Geometry and the Discussion on Fractal Interpolation
نویسندگان
چکیده
From a “strange” case-Koch curve in Euclidean space, we introduce the concept of fractal geometry, and meanwhile, give the MATLAB programs and their operational results. Since a variety of phenomena in nature have fractal characteristics, yet it is difficult to simulate the natural features with fractal characteristics in Euclidean space. Therefore, in order to solve this problem, we apply fractal interpolation to simulate natural features. Thus, based on the iterated function system (IFS), the basic principles and calculate formulas of fractal interpolation curve are given through discrete data points. Then, we realize the fractal interpolation fitting of discrete data points through the matrix calculations and graphic drawing function of MATLAB. LI LI and JIANQIANG GAO 106
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