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Iberoamerican Congress on Pattern Recognition

CIARP 2005: Progress in Pattern Recognition, Image Analysis and Applications pp 849–860Cite as

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A Computational Model for Pattern and Tile Designs Classification Using Plane Symmetry Groups

A Computational Model for Pattern and Tile Designs Classification Using Plane Symmetry Groups

  • José M. Valiente18,
  • Francisco Albert19 &
  • José María Gomis19 
  • Conference paper
  • 1147 Accesses

  • 6 Citations

Part of the Lecture Notes in Computer Science book series (LNIP,volume 3773)

Abstract

This paper presents a computational model for pattern analysis and classification using symmetry group theory. The model was designed to be part of an integrated management system for pattern design cataloguing and retrieval in the textile and tile industries. While another reference model [6], uses intensive image processing operations, our model is oriented to the use of graphic entities. The model starts by detecting the objects present in the initial digitized image. These objects are then transformed into Bezier curves and grouped to form motifs. The objects and motifs are compared and their symmetries are computed. Motif repetition in the pattern provides the fundamental parallelogram, the deflexion axes and rotation centres that allow us to classify the pattern according its plane symmetry group. This paper summarizes the results obtained from processing 22 pattern designs from Islamic mosaics in the Alcazar of Seville.

Keywords

  • Design Pattern
  • Bezier Curve
  • Lattice Detection
  • Pattern Reconstruction
  • Graphic Entity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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  2. Grünbaum, B., Shephard, G.C.: Tilings and Patterns. W. H. Freeman, New York (1987)

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  8. Valiente, J.M., Albert, F., Carretero, M., Gomis, J.M.: Structural Description of Textile and Tile Pattern Designs Using Image Processing. In: Proceedings of the 17th International Conference on Pattern Recognition (ICPR 2004), August 2004. IEEE Computer Society Press, Cambridge (2004)

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  12. Albert, F., Gomis, J.M., Valiente, J.M.: Reconstruction Techniques in the Image Analysis of Islamic Mosaics from the Alhambra. In: Proceedings of the 2004 Computer Graphics International (CGI 2004). IEEE Computer Society Press, Heraklion (2004)

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Author information

Authors and Affiliations

  1. DISCA,  

    José M. Valiente

  2. DEGI, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain

    Francisco Albert & José María Gomis

Authors
  1. José M. Valiente
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  2. Francisco Albert
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  3. José María Gomis
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Editor information

Editors and Affiliations

  1. Dept. System Engineering and Automation, Universitat Politècnica de Catalunya (UPC) Barcelona, Spain

    Alberto Sanfeliu

  2. Pattern Recognition Group, ICIMAF, Havana, Cuba

    Manuel Lazo Cortés

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© 2005 Springer-Verlag Berlin Heidelberg

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Valiente, J.M., Albert, F., Gomis, J.M. (2005). A Computational Model for Pattern and Tile Designs Classification Using Plane Symmetry Groups. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_88

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  • DOI: https://doi.org/10.1007/11578079_88

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29850-2

  • Online ISBN: 978-3-540-32242-9

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