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Thomas Batard
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A decomposition framework for image denoising algorithms
G Ghimpeţeanu, T Batard, M Bertalmío, S Levine
IEEE transactions on Image Processing 25 (1), 388-399, 2015
1052015
Clifford–Fourier transform for color image processing
T Batard, M Berthier, C Saint-Jean
Geometric Algebra Computing: In Engineering and Computer Science, 135-162, 2010
772010
A metric approach to nD images edge detection with Clifford algebras
T Batard, C Saint-Jean, M Berthier
Journal of Mathematical Imaging and Vision 33, 296-312, 2009
492009
Optimizing layout using spatial quality metrics and user preferences
A Bahrehmand, T Batard, R Marques, A Evans, J Blat
Graphical models 93, 25-38, 2017
472017
Derivatives and inverse of cascaded linear+ nonlinear neural models
M Martinez-Garcia, P Cyriac, T Batard, M Bertalmío, J Malo
PloS one 13 (10), e0201326, 2018
432018
Spinor Fourier transform for image processing
T Batard, M Berthier
IEEE Journal of Selected Topics in Signal Processing 7 (4), 605-613, 2013
272013
On covariant derivatives and their applications to image regularization
T Batard, M Bertalmío
SIAM Journal on Imaging Sciences 7 (4), 2393-2422, 2014
232014
Clifford–Fourier Transform and Spinor Representation of Images
T Batard, M Berthier
Quaternion and Clifford Fourier Transforms and Wavelets, 177-195, 2013
202013
A class of generalized laplacians on vector bundles devoted to multi-channel image processing
T Batard, N Sochen
Journal of mathematical imaging and vision 48, 517-543, 2014
162014
DIP-VBTV: A Color Image Restoration Model Combining a Deep Image Prior and a Vector Bundle Total Variation
T Batard, G Haro, C Ballester
SIAM Journal on Imaging Sciences 14 (4), 1816-1847, 2021
112021
Clifford algebra bundles to multidimensional image segmentation
T Batard, M Berthier
Advances in applied Clifford algebras 20 (3), 489-516, 2010
102010
Heat Equations on Vector Bundles—Application to Color Image Regularization
T Batard
Journal of Mathematical Imaging and Vision 41, 59-85, 2011
92011
A geometric model of brightness perception and its application to color images correction
T Batard, M Bertalmío
Journal of Mathematical Imaging and Vision 60, 849-881, 2018
82018
Retinal processing optimizes contrast coding
J Kim, T Batard, M Bertalmio
Journal of Vision 16 (12), 1151-1151, 2016
82016
Generalized gradient on vector bundle–application to image denoising
T Batard, M Bertalmío
Scale Space and Variational Methods in Computer Vision: 4th International …, 2013
82013
Heat kernels of generalized laplacians-application to color image smoothing
T Batard, M Berthier
2009 16th IEEE International Conference on Image Processing (ICIP), 461-464, 2009
82009
The wilson-cowan model describes contrast response and subjective distortion
M Bertalmío, P Cyriac, T Batard, M Martinez-Garcia, J Malo
J Vision 17 (10), 657-657, 2017
72017
A class of nonlocal variational problems on a vector bundle for color image local contrast reduction/enhancement
M Bertalmío, T Batard
Geometry, Imaging and Computing. 2015; 2 (3): 187-236., 2016
72016
Local denoising applied to raw images may outperform non-local patch-based methods applied to the camera output
G Ghimpeţeanu, T Batard, T Seybold, M Bertalmío
Electronic Imaging 28, 1-8, 2016
62016
Clifford bundles: A common framework for image, vector field, and orthonormal frame field regularization
T Batard
SIAM Journal on Imaging Sciences 3 (3), 670-701, 2010
52010
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