The Theory of Multifractal Interpolation Surface and its Applications

摘要：

The main feature of fractals is the self-similarity. The fractals in the nature have the characteristics of statistically self-similar or multifractal. This paper introduces the formulas of the self-affine fractal interpolation of surface, and gives the principles of the multifractal interpolation surface. The methods of dividing local interpolation neighborhood and determining multiple vertical compression ratios are described. Based on the measured fault surface data, the self-affine fractal surface and the multifractal surface are interpolated respectively. By comparison, multifractal interpolation surface is more consistent with the actual fault surface than the self-affine fractal surface.

关键词： fractal interpolation multifractal interpolation neighborhood vertical compression ratio fractal surface

作者: Hongquan Sun

作者单位: School of Civil Engineering Suzhou University of Science and Technology Suzhou, 215011 P.R. China

会议类型: 国际会议

会议名称: 2011 Seventh International Conference on Natural Computation(第七届自然计算国际会议 ICNC 2011)

会议地点: 上海

会议语种:英文

页码: 1440-1444

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）