[18] T. Batard: High Order DIP-VBTV: An Image Restoration Model Combining a Deep Image Prior and a High Order Total Variation on Vector Bundles. Journal of Mathematical Imaging and Vision, 67(24) 2025 [pdf]
[17] T. Batard: A Class of Priors for Color Image Restoration Parametrized by Lie Groups acting on Pixel Values. SIAM Journal on Imaging Sciences, 16(3) 2023, pp. 1235-1280 [pdf]
[16] 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]
[15] 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]
[14] M. Martinez, P. Cyriac, T. Batard, M. Bertalmío, and J. Malo: Derivatives and Inverse of Cascaded Linear+Nonlinear Neural Models. PLoS ONE 13(10): e0201326, 2018. [pdf]
[13] T. Batard and M. Bertalmío: A Geometric Model of Brightness Perception and its Application to Color Images Correction.
Journal of Mathematical Imaging and Vision, 60(6) 2018, pp. 849-881. [pdf]
[12] A. Bahrehmand, T. Batard, R. Marques, A. Evans, and J. Blat: Optimizing Layout using Spatial Quality Metrics and User Preferences. Graphical Models, 93(C) 2017, pp. 25-38. [pdf]
[11] T. Batard and T. Raeymaekers: Some Properties of the Spinor Fourier Transform. Advances in Applied Clifford Algebras, 26(3) 2016, pp. 933-951. [pdf]
[10] 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]
[9] T. Batard and M. Bertalmío: A Class of Nonlocal Variational Problems on a Vector Bundle for Color Image Local Contrast Reduction/Enhancement. Geometry, Imaging and Computing, 2(3) 2015, pp. 187-236. [pdf]
[8] T. Batard and M. Bertalmío: On Covariant Derivatives and their Applications to Image Regularization. SIAM Journal on Imaging Sciences, 7(4) 2014, pp. 2393-2422. [pdf]
[7] 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]
[6] T. Batard and N. Sochen: A Class of Generalized Laplacians devoted to Multi-Channels Image Processing. Journal of Mathematical Imaging and Vision, 48(3) 2014, pp. 517-543. [pdf]
[5] T. Batard and M. Berthier: Spinor Fourier Transform for Image Processing. IEEE Journal of Selected Topics in Signal Processing, 7(4) 2013, pp. 605-613. [pdf]
[4] T. Batard: Heat Equations on Vector Bundles - Application to Color Image Regularization. Journal of Mathematical Imaging and Vision, 41(1-2) 2011, pp. 59-85. [pdf]
[3] T. Batard: Clifford Bundles: a Common Framework for Images, Vector Fields and Orthonormal Frame Fields Regularization. SIAM Journal on Imaging Sciences, 3(3) 2010, pp. 670-701. [pdf]
[2] T. Batard and M. Berthier: Clifford Algebras Bundles to Multidimensional Image Segmentation. Advances in Applied Clifford Algebras, 20(3-4) 2010, pp. 489-516. [pdf]
[1] T. Batard, C.Saint-Jean, and M.Berthier: A Metric Approach to nD Images Edge Detection with Clifford Algebras. Journal of Mathematical Imaging and Vision, 33(3) 2009, pp. 296-312. [pdf]