Hypoelliptic Diffusion and Human Vision: A Semidiscrete New Twist, SIAM Journal on Imaging Sciences, vol.7, issue.2, pp.669-695, 2014. ,
DOI : 10.1137/130924731
URL : https://hal.archives-ouvertes.fr/hal-01097156
A Comprehensive Framework for Image Inpainting, IEEE Transactions on Image Processing, vol.19, issue.10, pp.2634-2679, 2010. ,
DOI : 10.1109/TIP.2010.2049240
URL : https://hal.archives-ouvertes.fr/hal-00522652
Image inpainting, Proceedings of the 27th annual conference on Computer graphics and interactive techniques , SIGGRAPH '00, pp.417-424, 2000. ,
DOI : 10.1145/344779.344972
URL : https://hal.archives-ouvertes.fr/hal-00522652
Euler's elastica and curvature-based inpainting, SIAM J. Appl. Math, vol.63, issue.2, pp.564-5923648784, 2002. ,
Level lines based disocclusion, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269), pp.259-263, 1998. ,
DOI : 10.1109/ICIP.1998.999016
An efficient framework for image/video inpainting Signal Process, Image Commun, vol.28, issue.7, pp.753-762, 2013. ,
Neurogéométrie de la vision -Modèles mathématiques et physiques des architectures fonctionnelles. Les Éditions de l'École Polytechnique, 2008. ,
A Cortical Based Model of Perceptual Completion in the Roto-Translation Space, Journal of Mathematical Imaging and Vision, vol.11, issue.3, pp.307-326, 2006. ,
DOI : 10.1007/s10851-005-3630-2
Image completion using a diffusion driven mean curvature flow in a sub-riemannian space, Proceedings of the 3rd International Conference on Computer Vision Theory and Applications, pp.46-53, 2008. ,
Existence of planar curves minimizing length and curvature, Proceedings of the Steklov Institute of Mathematics, vol.270, issue.1, pp.43-56, 2010. ,
DOI : 10.1134/S0081543810030041
Anthropomorphic Image Reconstruction via Hypoelliptic Diffusion, SIAM Journal on Control and Optimization, vol.50, issue.3, pp.1-25, 2012. ,
DOI : 10.1137/11082405X
URL : http://arxiv.org/abs/1006.3735
sub-Riemannian geometry, ESAIM: Control, Optimisation and Calculus of Variations, vol.20, issue.3, pp.748-770, 2014. ,
DOI : 10.1051/cocv/2013082
URL : https://hal.archives-ouvertes.fr/hal-00923636
The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2D Euclidean motion group, Quarterly of Applied Mathematics, vol.66, issue.1, pp.27-67, 2008. ,
DOI : 10.1090/S0033-569X-07-01066-0
Left-invariant parabolic evolutions on $SE(2)$ and contour enhancement via invertible orientation scores Part I: Linear left-invariant diffusion equations on $SE(2)$, Quarterly of Applied Mathematics, vol.68, issue.2, pp.255-292, 2010. ,
DOI : 10.1090/S0033-569X-10-01172-0
URL : http://repository.tue.nl/686009
Minimal Surfaces in the Roto-Translation Group with??Applications to a Neuro-Biological Image Completion Model, Journal of Mathematical Imaging and Vision, vol.5, issue.8, pp.1-27, 2010. ,
DOI : 10.1007/s10851-009-0167-9
Receptive fields of single neurones in the cat's striate cortex, The Journal of Physiology, vol.148, issue.3, pp.574-591, 1959. ,
DOI : 10.1113/jphysiol.1959.sp006308
Image reconstruction via non-isotropic diffusion in Dubins/Reed-Shepp-like control systems, 53rd IEEE Conference on Decision and Control, pp.4278-4283, 2014. ,
DOI : 10.1109/CDC.2014.7040056
URL : https://hal.archives-ouvertes.fr/hal-01103516
Disocclusion: a variational approach using level lines, IEEE Transactions on Image Processing, vol.11, issue.2, pp.68-76, 2002. ,
DOI : 10.1109/83.982815
Subriemannian mean curvature flow for image processing, SIAM J ,
DOI : 10.1137/15m1013572
URL : http://arxiv.org/abs/1504.03710
Theory of Edge Detection, Proceedings of the Royal Society B: Biological Sciences, vol.207, issue.1167, pp.187-217, 1980. ,
DOI : 10.1098/rspb.1980.0020
Size, scatter and coverage of ganglion cell receptive field centres in the cat retina., The Journal of Physiology, vol.291, issue.1, pp.117-141, 1979. ,
DOI : 10.1113/jphysiol.1979.sp012803
A fast two-dimensional median filtering algorithm, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.27, issue.1, pp.13-18, 1979. ,
DOI : 10.1109/TASSP.1979.1163188