Blockwise Similarity in [0, 1] via Triangular Norms and Sugeno Integrals - Application to Cluster Validity. - Hoel Le Capitaine; Thomas Batard; Carl Frélicot; Michel Berthier (FUZZ-IEEE, 2007)

The Clifford-Hodge Flow: An Extension of the Beltrami Flow. - Thomas Batard; Michel Berthier (CAIP, 2009)

Heat kernels of generalized laplacians-application to color image smoothing. - Thomas Batard; Michel Berthier (ICIP, 2009)

A Metric Approach to nD Images Edge Detection with Clifford Algebras. - Thomas Batard; Christophe Saint-Jean; Michel Berthier (J. Math. Imaging Vis., 2009)

Géométrie différentielle des fibrés vectoriels et algèbres de Clifford appliquées au traitement d'images multicanaux. (Differential geometry of vector bundles and Clifford algebras applied to multi-channels image processing). - Thomas Batard (2009)

Clifford-Fourier Transform for Color Image Processing. - Thomas Batard; Michel Berthier; Christophe Saint-Jean (Geometric Algebra Computing, 2010)

Clifford Bundles: A Common Framework for Image, Vector Field, and Orthonormal Frame Field Regularization. - Thomas Batard (SIAM J. Imaging Sci., 2010)

Polyakov Action on (ρ, G)-Equivariant Functions Application to Color Image Regularization. - Thomas Batard; Nir A. Sochen (SSVM, 2011)

Heat Equations on Vector Bundles - Application to Color Image Regularization. - Thomas Batard (J. Math. Imaging Vis., 2011)

A Riemannian Fourier Transform via Spin Representations. - Thomas Batard; Michel Berthier (GSI, 2013)

Harmonic Flow for Histogram Matching. - Thomas Batard; Marcelo Bertalmío (PSIVT Workshops, 2013)

A Variational Method for the Optimization of Tone Mapping Operators. - Praveen Cyriac; Thomas Batard; Marcelo Bertalmío (PSIVT, 2013)

Generalized Gradient on Vector Bundle - Application to Image Denoising. - Thomas Batard; Marcelo Bertalmío (SSVM, 2013)

Spinor Fourier Transform for Image Processing. - Thomas Batard; Michel Berthier (IEEE J. Sel. Top. Signal Process., 2013)

Denoising an Image by Denoising Its Components in a Moving Frame. - Gabriela Ghimpeteanu; Thomas Batard; Marcelo Bertalmío; Stacey Levine (ICISP, 2014)

A Class of Generalized Laplacians on Vector Bundles Devoted to Multi-Channel Image Processing. - Thomas Batard; Nir A. Sochen (J. Math. Imaging Vis., 2014)

On Covariant Derivatives and Their Applications to Image Regularization. - Thomas Batard; Marcelo Bertalmío (SIAM J. Imaging Sci., 2014)

A Nonlocal Variational Formulation for the Improvement of Tone Mapped Images. - Praveen Cyriac; Thomas Batard; Marcelo Bertalmío (SIAM J. Imaging Sci., 2014)

Duality Principle for Image Regularization and Perceptual Color Correction Models. - Thomas Batard; Marcelo Bertalmío (SSVM, 2015)

Local denoising applied to RAW images may outperform non-local patch-based methods applied to the camera output. - Gabriela Ghimpeteanu; Thomas Batard; Tamara Seybold; Marcelo Bertalmío (Digital Photography and Mobile Imaging, 2016)

Local denoising based on curvature smoothing can visually outperform non-local methods on photographs with actual noise. - Gabriela Ghimpeteanu; David Kane; Thomas Batard; Stacey Levine; Marcelo Bertalmío (ICIP, 2016)

A Decomposition Framework for Image Denoising Algorithms. - Gabriela Ghimpeteanu; Thomas Batard; Marcelo Bertalmío; Stacey Levine (IEEE Trans. Image Process., 2016)

Optimizing layout using spatial quality metrics and user preferences. - Arash Bahrehmand; Thomas Batard; Ricardo Marques; Alun Evans; Josep Blat (Graph. Model., 2017)

A Geometric Model of Brightness Perception and Its Application to Color Images Correction. - Thomas Batard; Marcelo Bertalmío (J. Math. Imaging Vis., 2018)

Hyperparameter-Free Losses for Model-Based Monocular Reconstruction. - Eduard Ramon; Guillermo Ruiz; Thomas Batard; Xavier Giró-i-Nieto (ICCV Workshops, 2019)

A Connection Between Image Processing and Artificial Neural Networks Layers Through a Geometric Model of Visual Perception. - Thomas Batard; Eduard Ramon Maldonado; Gabriele Steidl; Marcelo Bertalmío (SSVM, 2019)

Variational Models for Color Image Correction Inspired by Visual Perception and Neuroscience. - Thomas Batard; Johannes Hertrich; Gabriele Steidl (J. Math. Imaging Vis., 2020)

DIP-VBTV: A Color Image Restoration Model Combining a Deep Image Prior and a Vector Bundle Total Variation. - Thomas Batard; Gloria Haro; Coloma Ballester (SIAM J. Imaging Sci., 2021)

Nonlinear L2-DiracVTV Model for Color Image Restoration. - Keny Chin; Thomas Batard (MICAI (1), 2023)

Nonlinear DIP-DiracVTV Model for Color Image Restoration. - Natalia Huitzil Santamaría; Thomas Batard; Carlos Brito-Loeza (MICAI (1), 2023)

T(G)V-NeRF: A Strong Baseline in Regularized Neural Radiance Fields with Few Training Views. - Erick Zúniga; Thomas Batard; Jean-Bernard Hayet (MICAI (1), 2023)

A Class of Priors for Color Image Restoration Parameterized by Lie Groups Acting on Pixel Values. - Thomas Batard (SIAM J. Imaging Sci., 2023)

Automatic Counting System in a Region of Interest from Videos Taken by Drones. - Guillermo A. Jiménez-Frías; Francisco J. Hernandez-Lopez; Thomas Batard; Silvana Forti-Sosa; Eduardo Pérez-Pech (MCPR, 2025)

High-Order DIP-VBTV: An Image Restoration Model Combining a Deep Image Prior and a High-Order Total Variation on Vector Bundles. - Thomas Batard (J. Math. Imaging Vis., 2025)