Skip to main content

Line Detection Using Ridgelets Transform for Graphic Symbol Representation

  • Conference paper
  • First Online:
Pattern Recognition and Image Analysis (IbPRIA 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2652))

Included in the following conference series:

  • 697 Accesses

Abstract

Retrieval and recognition of symbols in graphic images requires good symbol representation, able to identify those features providing the most relevant information about shape and visual appearance of symbols. In this work we have introduced Ridgelets transform as it permits to detect lineal singularities in an image, which are the most important source of information in graphic images. Sparsity is one of the most important properties of Ridgelets transform, which will permit us to extract a set of descriptors based on the angle and the distance to the origin of every straight line. We show how this representation can be normalized to make it invariant on traslation, rotation and scaling of the symbol. We present some preliminary results showing the usefulness of this representation with a set of architectural symbols.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bracewell, R.N.: Two-Dimensional Imaging. Prentice Hall International, New Jersey (1995)

    MATH  Google Scholar 

  2. Candès, E.J., Donoho, D.L.: Ridgelets: a key to higher-dimensional intermittency? Phil. Trans. R. Soc. Lond. A 357, 2495–2509 (1999)

    Article  MathSciNet  Google Scholar 

  3. Donoho, D.L.: Orthonormal ridgelets and linear singularities (2001)

    Google Scholar 

  4. Flesia, A.G., Hel-Or, H., Averbuch, A., Candès, E.J., Coifman, R.R., Donoho, D.L.: Digital implementation of ridgelet packets. Beyond Wavelets, 1–33 (2001)

    Google Scholar 

  5. Fränti, P., Mednonogov, A., Kyrki, V., Kalviainen, H.: Content-based matching of line-drawing images using the hough transform. IJDAR 3, 117–124 (2000)

    Article  Google Scholar 

  6. Mallat, S.: A Wavelet Tour of Signal Processing. Academic Press, London (1999)

    MATH  Google Scholar 

  7. Tabbone, S., Wendling, L.: Technical symbols recognition using the twodimensional radon transform. In: Proceedings of the 16th International Conference on Pattern Recognition, Montreal, Canada, August 2002, vol. 3, pp. 200–203 (2002)

    Google Scholar 

  8. Tombre, K., Ah-Soon, C., Dosch, P., Masini, G., Tabonne, S.: Stable and robust vectorization: How to make the right choices. In: Chhabra, A.K., Dori, D. (eds.) GREC 1999. LNCS, vol. 1941, pp. 3–18. Springer, Heidelberg (2000)

    Chapter  Google Scholar 

  9. Ramos, O., Valveny, E.: Radon Transform for Lineal Representation. In: ICDAR2003 proceedings (to appear)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2003 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Terrades, O.R., Valveny, E. (2003). Line Detection Using Ridgelets Transform for Graphic Symbol Representation. In: Perales, F.J., Campilho, A.J.C., de la Blanca, N.P., Sanfeliu, A. (eds) Pattern Recognition and Image Analysis. IbPRIA 2003. Lecture Notes in Computer Science, vol 2652. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44871-6_96

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-44871-6_96

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40217-6

  • Online ISBN: 978-3-540-44871-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics