OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN 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)
http://dx.doi.org/10.1364/AO.40.006170


View Full Text Article

Enhanced HTML    Acrobat PDF (2026 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

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

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

Citation
Jaume Escofet, María S. Millán, and Miquel Ralló, "Modeling of woven fabric structures based on Fourier image analysis," Appl. Opt. 40, 6170-6176 (2001)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-40-34-6170


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. G. O. Reynolds, J. B. DeVelis, G. B. Parrent, B. J. Thompson, The New Optics Notebook: Tutorial in Fourier Optics (Society for Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1989). [CrossRef]
  2. B. J. Thompson, “Optical transforms and coherent processing systems with insights from crystallography,” in Optical Data Processing, D. Casasent, ed. (Springer-Verlag, Berlin, 1978), pp. 17–52. [CrossRef]
  3. E. J. Wood, “Applying Fourier and associated transforms to pattern characterization in textiles,” Textile Res. J. 60, 212–220 (1990). [CrossRef]
  4. B. Xu, “Identifying fabric structures with fast Fourier transform techniques,” Textile Res. J. 66, 496–506 (1996). [CrossRef]
  5. M. S. Millán, J. Escofet, “Fourier-domain-based angular correlation for quasiperiodic pattern recognition. Applications to web inspection,” Appl. Opt. 35, 6253–6260 (1996). [CrossRef] [PubMed]
  6. T. J. Kang, C. H. Kim, K. W. Oh, “Automatic recognition of fabric weave patterns by digital image analysis,” Textile Res. J. 69, 77–83 (1999). [CrossRef]
  7. T. J. Kang, S. H. Choi, S. M. Kim, K. W. Oh, “Automatic structure analysis and objective evaluation of woven fabric using image analysis,” Textile Res. J. 71, 261–270 (2001). [CrossRef]
  8. T. Matsuyama, S.-I. Miura, M. Nagao, “Structural analysis of natural textures by Fourier transformation,” Comput. Vision Graph. Image Process. 24, 347–362 (1983). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited