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Thomas Batard

Researcher at CIMAT Co-organizer of the Computer Science Seminar

De Jalisco s/n, Col. Valenciana

36023 Guanajuato

Mexico

Email: thomas.batard@cimat.mx

**Research activity: Development of geometric models for image processing/analysis and computer vision**

**Preprint:**

T. Batard: *A Class of Priors for Color Image Restoration Parametrized by Lie Groups acting on Pixel Values. *[pdf] [supplementary material]

** 5 most representative works:**

**V****ariational model for denoising and deblurring using neural networks:** T. Batard, G. Haro, and C. Ballester: *DIP-VBTV: A Color Image Restoration Model Combining a Deep Image Prior and a Vector Bundle Total Variation. *SIAM Journal on Imaging Sciences, 14(4) 2021, pp. 1816-1847**. **[pdf]** **[codes]

**Nonlocal variational model for contrast/details enhancement: **T.Batard, J. Hertrich, and G. Steidl: *Variational models for color image correction inspired by visual perception and neuroscience.** *Journal of Mathematical Imaging and Vision, 62(9) 2020, pp. 1173-1194.** **[pdf]

**Improving denoising methods by applying them in a moving frame: **G. Ghimpeteanu, T. Batard, M. Bertalmío, and S. Levine: *A Decomposition Framework for Image Denoising Algorithms*. IEEE Transactions on Image Processing, 25(1) 2016, pp. 388-399. [pdf]

**Tone mapping by minimizing a perceptual distance between images: **P. Cyriac, T. Batard, and M. Bertalmío: *A Non Local Variational** **Formulation for the Improvement of Tone Mapped Images. * SIAM Journal on Imaging Sciences, 7(4) 2014, pp. 2340-2363. [pdf]

** ****Image denoising by minimizing a total variation on a vector bundle: ***On Covariant Derivatives and their Applications to Image ** **Regularization. *SIAM Journal on Imaging Sciences, 7(4) 2014, pp. 2393-2422. [pdf]