COMPARISON BETWEEN MEXICAN HAT AND HAAR WAVELET DESCRIPTORS FOR SHAPE REPRESENTATION

Adnan Abou Nabout, Bernd Tibken

Abstract

The wavelet transformation is a well known method in several engineering fields. In image processing and pattern recognition the wavelet transformation is used for the recognition of object shapes by deriving so called wavelet descriptors. In this context the Mexican Hat as well as the Haar function were used as mother wavelets. To derive wavelet descriptors the methods use a periodical angle function derived from the contour polygon. The angle function describes an object shape by calculating the angle changes along the object contour beginning from a given starting point. Since object shapes are described by polygons, the angle function is step-shaped and therefore it includes discontinuity at the existing polygon corners. This causes big changes of the Haar wavelet descriptors if the positions of the polygon corners change due to small changes of the object shape. Such changes can be caused at least by digitalization or binarization errors. The Mexican Hat wavelet descriptors are more adapted and suffer however from small changes. In this paper we present the results of the comparison between both methods in there accurateness of describing object shapes.

References

  1. Grenander, U., Chow, Y. and Keenan, D. M., 1991. HANDS: A Pattern Theoretic Study Of Biological Shapes. Springer Verlag.
  2. Belongie, S., Malik, J. and Puzicha, J., 2001. Matching shapes, In ICCV, pp. I.454-461.
  3. Fergus, R., Perona, P. and Zisserman, A., 2003. Object class recognition by unsupervised scale-invariant learning. In CVPR, pp. 264-271.
  4. Nabout, A., Nour Eldin, H.A., Gerhards, R., Su, B., K├╝hbauch, W., 1994. Plant Species Identification using Fuzzy Set Theory, pp. 48-53, Proc. of the IEEE Southwest Symposium on Image Analysis and Interpretation, Dallas, Texas, USA.
  5. Zahn, C., Roskies, R. Z., 1972. Fourier descriptors for plant closed curve, IEEE Trans. On C-21.
  6. Nabout, A., 1993. Modular Concept and Method for Knowledge Based Recognition of Complex Objects in CAQ Applications, VDI Publisher, Series 20, No. 92.
  7. Nabout, A., Tibken, B., 2004. Object Recognition Using Polygons and Wavelet Descriptors, 1st International Conference on Information & Communication Technologies, Proceedings of ICTTA'04, April 19 - 23, Damascus, Syria.
  8. Nabout, A., Tibken, B., 2005. Wavelet Descriptors for Object Recognition Using Mexican Hat Function, 16th IFAC World Congress, Prague, Czech Republic.
  9. Nabout, A., Tibken, B., 2007. Object Shape Recognition using Mexican Hat Wavelet Descriptors, 2007 IEEE International Conference on Control and Automation, Guangzhou, CHINA - May 30 to June 1, pp. 1313- 1318.
  10. Nabout, A., Tibken, B., 2008. Object Shape Description Using Haar-Wavelet Functions, the 3rd IEEE International Conference on Information & Communication Technologies: from Theory to Application, ICTTA'08, 7-11 April 2008, Umayyad Palace, Damascus, Syria.
  11. Daubechies, I., 1992. Ten Lectures on Wavelets, Society for Industrial & Applied Mathematics.
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Paper Citation


in Harvard Style

Abou Nabout A. and Tibken B. (2009). COMPARISON BETWEEN MEXICAN HAT AND HAAR WAVELET DESCRIPTORS FOR SHAPE REPRESENTATION . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-674-000-9, pages 214-221. DOI: 10.5220/0002207002140221


in Bibtex Style

@conference{icinco09,
author={Adnan Abou Nabout and Bernd Tibken},
title={COMPARISON BETWEEN MEXICAN HAT AND HAAR WAVELET DESCRIPTORS FOR SHAPE REPRESENTATION},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2009},
pages={214-221},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002207002140221},
isbn={978-989-674-000-9},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - COMPARISON BETWEEN MEXICAN HAT AND HAAR WAVELET DESCRIPTORS FOR SHAPE REPRESENTATION
SN - 978-989-674-000-9
AU - Abou Nabout A.
AU - Tibken B.
PY - 2009
SP - 214
EP - 221
DO - 10.5220/0002207002140221