Application of the topological gradient to image restoration and edge detection

We show in this paper that the emerging topological gradient method is a new way for modelling and solving image restoration problems. This method is considered in the frame of variational diffusive approaches for the minimization of potential energy with respect to conductivity. The numerical exper...

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Bibliographic Details
Published in:Engineering analysis with boundary elements 2008-11, Vol.32 (11), p.891-899
Main Authors: Jaafar Belaid, L., Jaoua, M., Masmoudi, M., Siala, L.
Format: Article
Language:English
Subjects:
Anisotropic diffusive methods
Computational efficiency
Diffusive methods
Edges detection
Image processing
Image restoration
Iterative methods
Mathematical models
Optimization
Preconditioning
Spectral methods
Topological gradient
Topology
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Summary:We show in this paper that the emerging topological gradient method is a new way for modelling and solving image restoration problems. This method is considered in the frame of variational diffusive approaches for the minimization of potential energy with respect to conductivity. The numerical experiments show the efficiency of the topological gradient approach. The image is restored at the first iteration of the optimization process. Moreover, the computational cost of this iteration is reduced drastically using spectral methods.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2008.01.004