A practical MATLAB program for multifractal interpolation surface

Author

Sun, Hongquan

Author_Institution

Sch. of Civil Eng., Suzhou Univ. of Sci. & Technol., Suzhou, China

fYear

2012

fDate

29-31 May 2012

Firstpage

909

Lastpage

913

Abstract

The fractals in the nature possess the characteristics of statistically self-similar or multifractal. This paper introduces gives the principles of the multifractal interpolation surface. The methods of dividing local interpolation neighborhood and determining multiple vertical compression ratios are described. A practical MATLAB program for the multifractal interpolation surface is presented and the main parameters in the program are explained. Based on the measured data, the practical case is studied. By comparison, multifractal interpolation surface is more consistent with the actual fault surface than the self-affine fractal interpolation surface.

Keywords

interpolation; mathematics computing; MATLAB program; fault surface; local interpolation neighborhood; multifractal interpolation surface; multiple vertical compression ratios; self-affine fractal interpolation surface; self-similarity; Fractals; Interpolation; Rough surfaces; Surface cracks; Surface morphology; Surface roughness; Surface topography; MATLAB language; fractal interpolation surface; multifractal; program design; vertical compression ratio;

fLanguage

English

Publisher

ieee

Conference_Titel

Natural Computation (ICNC), 2012 Eighth International Conference on

Conference_Location

Chongqing

ISSN

2157-9555

Print_ISBN

978-1-4577-2130-4

Type

conf

DOI

10.1109/ICNC.2012.6234696

Filename

6234696