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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bracewell, R.N.: Two-Dimensional Imaging. Prentice Hall International, New Jersey (1995)
Candès, E.J., Donoho, D.L.: Ridgelets: a key to higher-dimensional intermittency? Phil. Trans. R. Soc. Lond. A 357, 2495–2509 (1999)
Donoho, D.L.: Orthonormal ridgelets and linear singularities (2001)
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)
Fränti, P., Mednonogov, A., Kyrki, V., Kalviainen, H.: Content-based matching of line-drawing images using the hough transform. IJDAR 3, 117–124 (2000)
Mallat, S.: A Wavelet Tour of Signal Processing. Academic Press, London (1999)
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)
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)
Ramos, O., Valveny, E.: Radon Transform for Lineal Representation. In: ICDAR2003 proceedings (to appear)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights 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