Implementation of the parametric representation of the Fourier transform in fabrics

Main Article Content

L. J. Cárdenas
L. E. Cifuentes
Yezid Torres Moreno
J. Escofet
María Sagrario Millán García-Varela

Keywords

fabrics, Fourier transform, parametric representation, textures.

Abstract

The periodic nature of the fabric images allows using fast Fourier transform techniques in image processing for its characterization. Due to the repetition of patterns inside the images of textile, is possible to find a form relatively easy of description in their energy spectrum. A recent work outlines a group of geometric descriptors for the Fourier spectrum of the images; looking for this efficiency to rotation, translation and scale change invariance [1]. These descriptors showed to be very effective to represent a textile fabric and can be used to characterize the quasi periodic textures in real time and in situ non destructive techniques. Samples of textile textures are tested to this technique of parametric representation with the purpose of analyzing their robustness and reproducibility. Finally, a set of textile fabrics is subjected to this model with the aim of evaluating the possibilities to carry out classification, verification and pattern recognition.

PACS: 42.30.Kq

Downloads

Download data is not yet available.
Abstract 779 | PDF (Español) Downloads 335

References

[1] H. Abril, J. Escofet, Y. Torres, C. Torres, M. S. Millán y J. Pladellorens. Carac- terización de textiles mediante parametrización de su TFR. Memorias del cuarto Encuentro Nacional de óptica, Medellín–Colombia, 3–10 (1994).

[2] M. C. Bueno. Análisis de Fourier Aplicado a la Caracterización de Tejidos Textiles. Trabajo fin de carrera, Escuela Universitaria de óptica y Optometría, Universidad Politecnica de Cataluña, Terrassa–España, 1994.

[3] Joseph W. Goodman. Introduction to Fourier Optics, Second Edition, ISBN 0– 07–024254–2. McGraw–Hill, 1996.

[4] J. Escofet, Y. Torres, C. Torres, M. S. Millán, J. Pladellorens y M. C. Bueno. Caracterización de Estructuras en Tejidos Textiles mediante procesado óptico y Digital de Imágenes. Actas de la Cuarta reunión Nacional de Optica, ISBN 84–338–1931–3. Granada–España, 23–24 (1994).

[5] Matrox PIP–EZ. MS–DOS Software Library for the PIP Video Digitizer, user manual.Matrox Electronic Systems Limited, Quebec–Canada, 1987.

[6] MathWorks. Matlab Reference Guide. USA, Spring 2007.

[7] Lawrence R. Rabiner. On the Use of simmetry in FFT Computation. IEEE Transactions on Acoustics, Speech and Signal Processing, ISSN 0096–3518, ASSP– 27(3), 233–239 (1979).

[8] William K. Pratt. Digital Image Processing: PIKS Inside, third edition, ISBN 9780471221326. New York, John Wiley & Sons, 2002.

[9] L. J. Cárdenas y L. E. Cifuentes. Caracterización de Textiles por medio de la Representación Parametrica de la Transformada de Fourier, Proyecto de grado. Escuela de Ingeniería de Sistemas y Computación, Universidad Industrial de Santander, Bucaramanga–Colombia, 1998.

[10] Robert A. Schowengerdt. Techniques for Image Processing and Classification in Remote Sensing, ISBN 0126289808. Academic Press Inc., Orlando–Florida–USA, 1983.

[11] María S.Millán and Jaume Escofet. Fourier domain based angular correlation for quasiperiodic pattern recognition. Applications to web inspection. Applied Optics, ISSN 1539–4522, 35(31), 6253–6260 (1996).