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Textile Research Journal
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Fiber Crimp Analysis by Fractal Dimension

Yoichiro Muraoka

Heian Jogakuin Junior College, Nampeidai, Takatsuki 569, Japan

Kjyohiro Inoue

F & D Laboratory, Takaraztrka, 665, Japan

Hisako Tagaya

Shiga University, Hiratsu, Otsu, 520, Japan

Kazuo Nishizawa

Laboratory of Interfacial Technique, Kita-ku, Kyoto, 603, Japan

A box-counting method for determining the fractal dimensions of crimped fibers is discussed in detail. Using nylon 6 crimped filament magnified figures, an application of the method is demonstrated where the box-counting dimension (DB) of nylon 6 has a distribution of 1.00-1.65. Eight animal fibers, cotton, and two other synthetic crimped fibers are also characterized by DB distributions of 1.00-1.32. Modified random Koch curves are used to simulate crimped fiber shapes and to examine the relationship between Hausdorff's dimension (DH) and DB.

Textile Research Journal, Vol. 65, No. 8, 454-460 (1995)
DOI: 10.1177/004051759506500804
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