Fractal dimension and multifractal spectra of the surface shape of textile patterns

Author

Ade, D K T Lam

Author_Institution

Dept. of Inf. Commun., Leader Univ., Tainan, Taiwan

fYear

2010

fDate

9-11 April 2010

Firstpage

138

Lastpage

141

Abstract

The main purpose of this research is to use the fractal dimension and multifractal spectra to analyze the characteristics of the surface shape of textile patterns. First a brief description of the Fractal Theory is given, and then the characteristics of the surface shape of textile patterns are analyzed. Based on Box-counting method, an algorithm is derived to calculate the fractal dimension and multifractal spectra of the surface shape of textile patterns. Then, a computing program of the fractal dimension and multifractal spectra is developed with the help of MATLAB. Through this program, the surface shape of textile patterns is described. The results of this paper include a mathematical model to describe the observation of fractal and multifractal characteristics in the surface shape of textile patterns.

Keywords

fractals; shape recognition; textiles; Box-counting method; MATLAB; fractal dimension; fractal theory; mathematical model; multifractal spectra; surface shape; textile patterns; Cities and towns; Design automation; Fractals; Geometry; Graphics; Mathematical model; Pattern analysis; Shape; Surface morphology; Textiles; Fractal dimension; multifractal spectra; surface shape; textile patterns;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Analysis and Signal Processing (IASP), 2010 International Conference on

Conference_Location

Zhejiang

Print_ISBN

978-1-4244-5554-6

Electronic_ISBN

978-1-4244-5556-0

Type

conf

DOI

10.1109/IASP.2010.5476144

Filename

5476144