Features Generation and Stochastic Geometry

Nikolay G. Fedotov, Luydmila A. Shul’ga, Alexander V. Moiseev

Abstract

Application of stochastic geometry methods to pattern recognition is analyzed. The paper is based on Trace-transformations of original images introduced in [1] into images on the Mobius band. Trace–transformation is a new geometrical transformation, which is connected with image scanning on complex trajectories, including random parameters trajectories. Based on this new geometric transformation, a new approach to the construction of features independent of images' motion or their linear transformations is advanced. A prominent characteristic of the group of features under consideration is that we can represent each of them as a consecutive composition of three functionals.

References

  1. Fedotov, N.G., Metody stokhasticheskoi geometrii v raspoznavanii obrazov (Methods of Stochastic Geometry in Pattern Recognition), Moscow: Radio i Svyaz' (1990)
  2. Fedotov, N.G., Estimation of Accuracy of the Stochastic Method of Measurements, Izmeritel'naya tekhnika, (1996) N9
  3. Fedotov, N.G. and Tuzhilov, I.V., Neurocomputing Technology for Generation of Features for Pattern Recognition, Informatika-Mashinostroenie, issue 1(19) (1998) 38-42
  4. Fedotov, N. G. and Shulga, L.A., New Ways to Form Features for Pattern Recognition on the Basis of Stochastic Geometry, Proc. 12th Scandinavian Conf. on Image Analysis, Bergen (2001) vol. I. II 373-380
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Paper Citation


in Harvard Style

G. Fedotov N., A. Shul’ga L. and V. Moiseev A. (2004). Features Generation and Stochastic Geometry . In Proceedings of the 4th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2004) ISBN 972-8865-01-5, pages 169-175. DOI: 10.5220/0002677201690175


in Bibtex Style

@conference{pris04,
author={Nikolay G. Fedotov and Luydmila A. Shul’ga and Alexander V. Moiseev},
title={Features Generation and Stochastic Geometry},
booktitle={Proceedings of the 4th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2004)},
year={2004},
pages={169-175},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002677201690175},
isbn={972-8865-01-5},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 4th International Workshop on Pattern Recognition in Information Systems - Volume 1: PRIS, (ICEIS 2004)
TI - Features Generation and Stochastic Geometry
SN - 972-8865-01-5
AU - G. Fedotov N.
AU - A. Shul’ga L.
AU - V. Moiseev A.
PY - 2004
SP - 169
EP - 175
DO - 10.5220/0002677201690175