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Applied Optics

Applied Optics


  • Vol. 35, Iss. 31 — Nov. 1, 1996
  • pp: 6253–6260

Fourier-domain-based angular correlation for quasiperiodic pattern recognition. Applications to web inspection

María S. Millán and Jaume Escofet  »View Author Affiliations

Applied Optics, Vol. 35, Issue 31, pp. 6253-6260 (1996)

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A Fourier-domain-based recognition technique is proposed for periodic and quasiperiodic pattern recognition. It is based on the angular correlation of the moduli of the sample and the reference Fourier spectra centered at the maximum central point. As in other correlation techniques, recognition is achieved when a high correlation peak is obtained, and this result occurs when the two spectra coincide. The angular correlation is a one-dimensional function of the rotation angle. The position of the correlation peak indicates the rotation angle between two similar patterns in the original images. Some optimizations for the discrete calculation of the Fourier-domain-based angular correlation are also proposed. Some applications of this technique to web inspection tasks, such as pattern recognition and classification, damaged web evaluation, and detection of defects, are presented and discussed.

© 1996 Optical Society of America

Original Manuscript: February 27, 1996
Published: November 1, 1996

María S. Millán and Jaume Escofet, "Fourier-domain-based angular correlation for quasiperiodic pattern recognition. Applications to web inspection," Appl. Opt. 35, 6253-6260 (1996)

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  1. J. D. Gaskill, Linear Systems, Fourier Transforms and Optics (Wiley, New York, 1978), p. 112.
  2. J. B. DeVelis, G. B. Parrent, G. O. Reynolds, B. J. Thompson, eds., The New Physical Optics Notebook: Tutorials in Fourier Optics Vol. PM01 of SPIE Press Monographs Series (Society of Photo-Optical Instrumentation Engineers, Bellingham, Wash., 1989), Chap. 3.
  3. E. G. Steward, “Fourier Optics”: An Introduction (Ellis Horwood, New York, 1983), p. 95.
  4. T. Matsuyama, S.-I. Miura, M. Nagao, “Structural analysis of natural textures by Fourier transformation,” Comput. Vision, Graphics, Image Process. 24, 347–362 (1983). [CrossRef]
  5. Ref. 3, pp. 96–101.
  6. R. Furter, “Evenness testing in yarn production,” in Manual of Textile Technology, Part I, (Textile Institute, Manchester, England, 1982), Chap. 4.
  7. E. J. Wood, “Applying Fourier and associated transforms to pattern characterization in textiles,” Text. Res. J. 60, 212–220 (1990). [CrossRef]
  8. N. George, J. T. Thomasson, A. Spindel, “Photodetector light-pattern detector,” U.S. patent3,689,772 (5September1972).
  9. Y. Wu, B. Pourdeyhimi, S. M. Spivak, “Texture evaluation of carpets using image analysis,” Text. Res. J. 61, 407–419 (1991). [CrossRef]
  10. Ref. 1, pp. 297–298.
  11. R. O. Duda, P. E. Hart, Pattern Classification and Scene Analysis (Wiley, New York, 1973), Chap. 2.

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