# IMAGE DECONVOLUTION USING A STOCHASTIC DIFFERENTIAL EQUATION APPROACH

### X. Descombes, M. Lebellego, E. Zhizhina

#### Abstract

We consider the problem of image deconvolution. We foccus on a Bayesian approach which consists of maximizing an energy obtained by a Markov Random Field modeling. MRFs are classically optimized by a MCMC sampler embeded into a simulated annealing scheme. In a previous work, we have shown that, in the context of image denoising, a diffusion process can outperform the MCMC approach in term of computational time. Herein, we extend this approach to the case of deconvolution. We first study the case where the kernel is known. Then, we address the myopic and blind deconvolutions.

#### References

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#### Paper Citation

#### in Harvard Style

Descombes X., Lebellego M. and Zhizhina E. (2007). **IMAGE DECONVOLUTION USING A STOCHASTIC DIFFERENTIAL EQUATION APPROACH** . In *Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: Bayesian Approach for Inverse Problems in Computer Vision, (VISAPP 2007)* ISBN 978-972-8865-75-7, pages 157-164. DOI: 10.5220/0002064701570164

#### in Bibtex Style

@conference{bayesian approach for inverse problems in computer vision07,

author={X. Descombes and M. Lebellego and E. Zhizhina},

title={IMAGE DECONVOLUTION USING A STOCHASTIC DIFFERENTIAL EQUATION APPROACH},

booktitle={Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: Bayesian Approach for Inverse Problems in Computer Vision, (VISAPP 2007)},

year={2007},

pages={157-164},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0002064701570164},

isbn={978-972-8865-75-7},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the Second International Conference on Computer Vision Theory and Applications - Volume 3: Bayesian Approach for Inverse Problems in Computer Vision, (VISAPP 2007)

TI - IMAGE DECONVOLUTION USING A STOCHASTIC DIFFERENTIAL EQUATION APPROACH

SN - 978-972-8865-75-7

AU - Descombes X.

AU - Lebellego M.

AU - Zhizhina E.

PY - 2007

SP - 157

EP - 164

DO - 10.5220/0002064701570164