DOUBLE WELL POTENTIAL AS DIFFUSIVE FUNCTION FOR PDE-BASED SCALAR IMAGE RESTORATION METHOD

A. Histace, M. Ménard

2009

Abstract

Anisotropic regularization PDE’s (Partial Differential Equation) raised a strong interest in the field of image processing. The benefit of PDE-based regularization methods lies in the ability to smooth data in a nonlinear way, allowing the preservation of important image features (contours, corners or other discontinuities). In this article, we propose a PDE-based method restoration approach integrating a double-well potential as diffusive function. It is shown that this particular potential leads to a particular regularization PDE which makes it possible integration of prior knowledge about the gradients intensity level to restore. As a proof a feasibility, results of restoration are presented both on ad hoc and natural images to show potentialities of the proposed method.

References

  1. Catté, F., Coll, T., Lions, P., and Morel, J. (1992). Image selective smoothing and edge detection by nonlinear diffusion. SIAM Journal of Applied Mathematics, 29(1):182-193.
  2. Deriche, R. and Faugeras, O. (1996). Les edp en traitements des images et visions par ordinateur. Traitement du Signal, 13(6):551-578.
  3. Histace, A., Courboulay, V., and Ménard, M. (2007). Selective image diffusion for oriented pattern extraction. In 4th International Conference on Informatics in Control, Automation and Robotics (ICINCO), pages 270- 274.
  4. Histace, A. and Ménard, M. (2008). Robotics, Automation and Contol Book: PDE based approach for oriented pattern segmentation, chapter 22, pages 207-218. Intech Education and Publishing.
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Paper Citation


in Harvard Style

Histace A. and Ménard M. (2009). DOUBLE WELL POTENTIAL AS DIFFUSIVE FUNCTION FOR PDE-BASED SCALAR IMAGE RESTORATION METHOD . In Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-674-000-9, pages 401-404. DOI: 10.5220/0002191304010404


in Bibtex Style

@conference{icinco09,
author={A. Histace and M. Ménard},
title={DOUBLE WELL POTENTIAL AS DIFFUSIVE FUNCTION FOR PDE-BASED SCALAR IMAGE RESTORATION METHOD},
booktitle={Proceedings of the 6th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2009},
pages={401-404},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002191304010404},
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 - DOUBLE WELL POTENTIAL AS DIFFUSIVE FUNCTION FOR PDE-BASED SCALAR IMAGE RESTORATION METHOD
SN - 978-989-674-000-9
AU - Histace A.
AU - Ménard M.
PY - 2009
SP - 401
EP - 404
DO - 10.5220/0002191304010404