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Applied Optics

Applied Optics


  • Vol. 40, Iss. 34 — Dec. 1, 2001
  • pp: 6170–6176

Modeling of woven fabric structures based on Fourier image analysis

Jaume Escofet, María S. Millán, and Miquel Ralló  »View Author Affiliations

Applied Optics, Vol. 40, Issue 34, pp. 6170-6176 (2001)

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The periodic woven structures of fabrics can be defined on the basis of the convolution theorem. Here an elementary unit with the minimum number of thread crossings and a nonrectangular two-dimensional comb function for the pattern of repetition is used to define woven structures. The expression derived is more compact than the conventional diagram for weaving, and the parameters that one needs to determine a given fabric can easily be extracted from its Fourier transform. Several results with real samples of the most common structures—plain, twill, and satin—are presented.

© 2001 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(100.2000) Image processing : Digital image processing
(100.5010) Image processing : Pattern recognition

Original Manuscript: March 5, 2001
Revised Manuscript: July 9, 2001
Published: December 1, 2001

Jaume Escofet, María S. Millán, and Miquel Ralló, "Modeling of woven fabric structures based on Fourier image analysis," Appl. Opt. 40, 6170-6176 (2001)

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