Analysis of periodic structures with Fourier description and neuronal network


  • Adalberto Gabriel Díaz Universidad Eafit



pattern recognition, image processing, Fourier transform, shortcomings inspection


This work is developed in a project of textile lattices inspection. The structure of a superficial texture is manifested with a behavior on the base of a model known as pattern which, is associated with a group of characteristics that define it as such. The identification process and classification of shortcomings in the texture consists on establishing a region of conformity in the coordinated space defined by the pattern’s characteristics.

The reduction process of this m-dimensional space, helps to its identification in an n-dimensional space, such that m > n, where the classification system actually depends on the characteristics of the new space, where the new characteristics truly contain the classification information. The space characteristics allow for the identification of the pattern as such in the place that is explored. The characteristic frequency corresponds to a reduction of the classification space, making it more generic in the area over the image.

The classification system is modeled with neuronal networks algorithms and the complexity of the surfaces of decision is solved starting from the architecture and the algorithms of training of the neuronal net.

= 30 veces | PDF (ESPAÑOL (ESPAÑA))
= 17 veces|


Download data is not yet available.

Author Biography

Adalberto Gabriel Díaz, Universidad Eafit

Departamento de Ingeniería de Producción


M.S. Millán, J. Escofet, A. Abril, C. Héctor, R. Navarro. “Automatic quality control of textile webs by image processing”. SPI. Vol. 3572. 1999. pp. 349-352.

F.J. Cortijo. “Introducción al Reconocimiento de formas”, 2001;; Consultada en enero de 2006.

A. R. Horrocks, S.C. Anand, “Handbook of Technical Textiles”. Woodhead Publishing ltd. U.S. 2000. pp. 42-151.

A. Baykut, R. Meylani, S. Ozdemir, A. Erçil, A. Ertüzün “A Study on the Texture Analysis Algorithms in the Context of Defect Detection of Textile Products”. Proceedings SIU 97 (5th National Signal Processing and Applications Conference). Kuşadası, Turkey (in Turkish). May 1-3 1997. pp. 557-563.

D. Chetverikov, “Structural Defects: General Approach and Application to Textile Inspection”. Proc. 15th ICPR. Barcelona. Vol. 1. 2000. pp. 15-21.

G, Díaz Adalberto. “Vision 3-D with Images 2D, by Mediate the Analysis of Shades for the Illumination Angle with the Surface”. Proc. SPIE, Vol. 4419-242. 2001. pp. 66-69.

M. Bishop. Neural Networks for Pattern Recognition. Clarendon Press-Oxford. 1995. pp. 1-28.

A. G. Díaz. “Reconocimiento de patrones orientados con morfovarianza en estructura de tejidos”. Revista Universidad EAFIT. N.º 134. Vol. 40. 2004. pp 38-50.

A. Birkan Aras, A.E Ayþýn Ertüzün ve. ‘‘Texture Defect Inspection using Higher Order Statistics”. Proceedings of IEEE SIU’98. Vol. 2. pp. 542-547.

C. Chan, G. Pang. “Fabric defect detection by Fourier analysis”. IEEE transactions on Industry Applications. Vol. 36. 2000. pp. 1267-1276.

J. Escofet, M.S. Millán, M. Rallo. “Specification and identification of woven patterns based on Fourier techniques”. SPIE. Vol. 4419. 2001. pp. 62-65.

A. Oppenheim, R. Schafer. “Discrete–Time Signal Processing”. New Jersey Prentice Hall International. 1989. pp. 514-628.

S. Haykin. “Neural Networks”. New Jersey, Prentice Hall. 2.a. ed. 1999. pp. 117-143.

E. García, V. Batlle, A. Oliver, L. Sánchez. “Descriptores de Fourier para identificación y posicionamiento de objetos en entornos 3D”. XXV Jornadas de automática; ciudad Real, Universidad de Castilla la Mancha; Sept. 2004.; Consultada en noviembre de 2003.

S. Özdemir, A. Baykut, R Meylani, A. Erçil, A. Ertüzün. “Comparative Evaluation of Texture Analysis Algorithms for Defect Inspection of Textile Products”. Proceedings ICPR 98 (International Conference on Computer Vision and Pattern Recognition). Brisbane, Australia. 14-17 de agosto de 1998. pp. 1738-1740.

U. Tekstil, S.A. Yapay , Y. ile, K. Kalite. “Surface Quality Control of Textile Products Using Neural Networks”. Proceedings of IEEE SIU’98. May 1998. Vol. 2. pp. 560-565.

Y.A. Karayiannis, R. Stojanovic, P. Mitropoulos, C. Koulamas, T. Stouraitis, S. Koubias, G. Papadopoulus. “Defect detection and classification on web textile fabric using multiresolution decomposition and neural networks”. ICECS’99. Proceedings of ICES’99. 6th IEEE International conference on electronics, Circuits and Systems. 1999. pp. 765-768.

ICONTEC; “Telas definición de defectos”; Norma Colombiana, N.º 1046; 1976.



How to Cite

Díaz, A. G. (2014). Analysis of periodic structures with Fourier description and neuronal network. Revista Facultad De Ingeniería Universidad De Antioquia, (40), 106–117.

Similar Articles

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 > >> 

You may also start an advanced similarity search for this article.