Volume no :12, Issue no: 1, August (2014)

Journal of Pure and Applied Mathematics: Advances and Applications

FRACTAL GEOMETRY AND THE DISCUSSION ON FRACTAL INTERPOLATION

Author's: Li Li and Jianqiang Gao
Pages: [105] - [118]
Received Date: July 10, 2014
Submitted by:

Abstract

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.

Keywords

fractal geometry, iterated function system (IFS), fractal interpolation, MATLAB.