Biologically-inspired supervised vasculature segmentation in SLO retinal fundus images, Image Analysis and Recognition, vol.9164, pp.325-334, 2015. ,
,
, Cortically-inspired spectral clustering for connectivity analysis in retinal images: Curvature integration, 2016.
Automatic detection of vascular bifurcations and crossings in retinal images using orientation scores, IEEE 13th International Symposium on, pp.189-192, 2016. ,
An active contour model for segmenting and measuring retinal vessels, IEEE Transactions on Medical Imaging, vol.28, issue.9, pp.1488-1497, 2009. ,
Circuits for local and global signal integration in primary visual cortex, The Journal of Neuroscience, vol.22, issue.19, pp.8633-8646, 2002. ,
A fully automated tortuosity quantiication system with application to corneal nerve bres in confocal microscopy images, Medical image analysis, vol.32, pp.216-232, 2016. ,
The curve indicator random eld: Curve organization via edge correlation. In Perceptual organization for artiicial vision systems, pp.265-288, 2000. ,
Sketches with curvature: The curve indicator random eld and markov processes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.25, issue.4, pp.387-400, 2003. ,
An uncertainty principle underlying the functional architecture of v1, Journal of Physiology-Paris, vol.106, issue.5, pp.183-193, 2012. ,
A multi-orientation analysis approach to retinal vessel tracking, Journal of Mathematical Imaging and Vision, pp.1-28, 2014. ,
Curvature based biomarkers for diabetic retinopathy via exponential curve ts in se (2), 2015. ,
Laplacian eigenmaps for dimensionality reduction and data representation, Neural computation, vol.15, issue.6, pp.1373-1396, 2003. ,
The tangent space in sub-riemannian geometry, Sub-Riemannian geometry, pp.1-78, 1996. ,
Geometrical computations explain projection patterns of long-range horizontal connections in visual cortex, Neural computation, vol.16, issue.3, pp.445-476, 2004. ,
Iso-orientation domains in cat visual cortex are arranged in pinwheel-like patterns, Nature, vol.353, issue.6343, pp.429-431, 1991. ,
Anthropomorphic image reconstruction via hypoelliptic diiusion, SIAM Journal on Control and Optimization, vol.50, issue.3, pp.1309-1336, 2012. ,
Orientation selectivity and the arrangement of horizontal connections in tree shrew striate cortex, The Journal of neuroscience, vol.17, issue.6, pp.2112-2127, 1997. ,
The functional geometry of local and horizontal connections in a model of v1, Journal of Physiology-Paris, vol.97, issue.2, pp.221-236, 2003. ,
What geometric visual hallucinations tell us about the visual cortex, Neural Computation, vol.14, issue.3, pp.473-491, 2002. ,
Geometric methods for vessel visualization and quantiication-a survey, 2004. ,
Rapid automated tracing and feature extraction from retinal fundus images using direct exploratory algorithms, IEEE Transactions on Information Technology in Biomedicine, vol.3, issue.2, pp.125-138, 1999. ,
Survey of encoding and decoding of visual stimulus via fmri: an image analysis perspective, Brain imaging and behavior, vol.8, issue.1, pp.7-23, 2014. ,
Hyperbolic planforms in relation to visual edges and textures perception, PLoS Comput Biol, vol.5, issue.12, p.1000625, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00807344
Retinal blood vessel detection and tracking by matched Gaussian and Kalman lters, Proceedings of the 20th Annual International Conference of the IEEE, vol.6, pp.3144-3149, 1998. ,
A cortical based model of perceptual completion in the roto-translation space, Journal of Mathematical Imaging and Vision, vol.24, issue.3, pp.307-326, 2006. ,
Harmonic and Geometric Analysis, 2015. ,
Spatio-temporal models of the functional architecture of the visual cortex, 2014. ,
Cortical spatiotemporal dimensionality reduction for visual grouping, Neural computation, 2015. ,
Diiusion maps, Applied and Computational Harmonic Analysis, vol.21, issue.1, pp.5-30, 2006. ,
Functional magnetic resonance imaging (fmri)"brain reading": detecting and classifying distributed patterns of fmri activity in human visual cortex, Neuroimage, vol.19, issue.2, pp.261-270, 2003. ,
Cortical surface-based analysis: I. segmentation and surface reconstruction, Neuroimage, vol.9, issue.2, pp.179-194, 1999. ,
The representation of the visual eld on the cerebral cortex in monkeys, The Journal of physiology, vol.159, issue.2, pp.203-221, 1961. ,
Two-dimensional spectral analysis of cortical receptive eld prooles, Vision research, vol.20, issue.10, pp.847-856, 1980. ,
Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensional visual cortical lters, JOSA A, vol.2, issue.7, pp.1160-1169, 1985. ,
Theoretical neuroscience: computational and mathematical modeling of neural systems, Philosophical Psychology, pp.563-577, 2001. ,
Automated tracing of retinal blood vessels using graphical models, Image Analysis, pp.277-289, 2013. ,
Tracing retinal vessel trees by transductive inference, BMC Bioinformatics, vol.15, issue.1, p.20, 2014. ,
Automatic model-based tracing algorithm for vessel segmentation and diameter estimation, Computer Methods and Programs in Biomedicine, vol.100, issue.2, pp.108-122, 2010. ,
Endstopped neurons in the visual cortex as a substrate for calculating curvature, Nature, vol.329, issue.6138, pp.438-441, 1987. ,
Endstopping and curvature, Vision research, vol.29, issue.10, pp.1371-1387, 1989. ,
Locally adaptive frames in the rototranslation group and their applications in medical imaging, Journal of Mathematical Imaging and Vision, pp.1-36, 2016. ,
Left-invariant parabolic evolutions on SE(2) and contour enhancement via invertible orientation scores-Part i: Linear left-invariant diiusion equations on SE(2), Quarterly of Applied Mathematics, vol.68, issue.2, pp.255-292, 2010. ,
Line enhancement and completion via linear left invariant scale spaces on se (2), International Conference on Scale Space and Variational Methods in Computer Vision, pp.795-807, 2009. ,
Left-invariant parabolic evolutions on SE(2) and contour enhancement via invertible orientation scores. Part ii: nonlinear left-invariant diiusions on invertible orientation scores, Quarterly of Applied Mathematics, vol.68, issue.2, pp.293-331, 2010. ,
The explicit solutions of linear left-invariant second order stochastic evolution equations on the 2d euclidean motion group, Quarterly of Applied Mathematics, pp.27-67, 2008. ,
Least angle regression. The Annals of statistics, vol.32, pp.407-499, 2004. ,
Large scale spatially organized activity in neural nets, SIAM Journal on Applied Mathematics, vol.38, issue.1, pp.1-21, 1980. ,
Persistent neural states: stationary localized activity patterns in nonlinear continuous n-population, q-dimensional neural networks, Neural Computation, vol.21, issue.1, pp.147-187, 2009. ,
URL : https://hal.archives-ouvertes.fr/inria-00198808
Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering, Journal of Mathematical Imaging and Vision, vol.56, issue.1, pp.158-172, 2016. ,
Local and global gestalt laws: A neurally based spectral approach, accepted to Neural Computation, 2016. ,
DOI : 10.1162/neco_a_00921
URL : http://arxiv.org/pdf/1512.06566
Vessel tracking in peripheral CTA datasetsan overview, Computer Graphics, Spring Conference on, pp.232-239, 2001. ,
DOI : 10.1109/sccg.2001.945359
Contour integration by the human visual system: Evidence for a local "association eld, Vision research, vol.33, pp.173-193, 1993. ,
, Neuroimage, vol.62, issue.2, pp.774-781, 2012.
Cortical surface-based analysis: Ii: innation, attening, and a surface-based coordinate system, Neuroimage, vol.9, issue.2, pp.195-207, 1999. ,
Luminosity and contrast normalization in retinal images, Medical Image Analysis, vol.9, issue.3, pp.179-190, 2005. ,
Crossing-preserving coherence-enhancing diiusion on invertible orientation scores, International Journal of Computer Vision, vol.85, issue.3, pp.253-278, 2009. ,
DOI : 10.1007/s11263-009-0213-5
URL : https://link.springer.com/content/pdf/10.1007%2Fs11263-009-0213-5.pdf
Nonlinear diiusion on the 2d euclidean motion group, International Conference on Scale Space and Variational Methods in Computer Vision, pp.461-472, 2007. ,
Barman. Blood vessel segmentation methodologies in retinal images -a survey, Computer Methods and Programs in Biomedicine, vol.108, issue.1, pp.169-2607, 2012. ,
Pathwise coordinate optimization, The Annals of Applied Statistics, vol.1, issue.2, pp.302-332, 2007. ,
DOI : 10.1214/07-aoas131
URL : https://doi.org/10.1214/07-aoas131
, Neural codes: ring rates and beyond, vol.94, pp.12740-12741, 1997.
DOI : 10.1073/pnas.94.24.12740
URL : http://www.pnas.org/content/94/24/12740.full.pdf
Spatial integration and cortical dynamics, Proceedings of the National Academy of Sciences, vol.93, issue.2, pp.615-622, 1996. ,
Delineating trees in noisy 2D images and 3D image-stacks, IEEE Conference on Computer Vision and Pattern Recognition (CVPR), pp.2799-2806, 2010. ,
Neural dynamics of form perception: boundary completion, illusory gures, and neon color spreading, Psychological review, vol.92, issue.2, p.173, 1985. ,
DOI : 10.1016/b978-0-444-70414-6.50006-6
Unsupervised feature learning improves prediction of human brain activity in response to natural images, PLoS Comput Biol, vol.10, issue.8, p.1003724, 2014. ,
Measurement and classiication of retinal vascular tortuosity, International journal of medical informatics, vol.53, issue.2, pp.239-252, 1999. ,
Reliability of cortical activity during natural stimulation, Trends in cognitive sciences, vol.14, issue.1, pp.40-48, 2010. ,
DOI : 10.1016/j.tics.2009.10.011
URL : http://europepmc.org/articles/pmc2818432?pdf=render
,
The elements of statistical learning: data mining, inference, and prediction, 2011. ,
Distributed and overlapping representations of faces and objects in ventral temporal cortex, Science, vol.293, issue.5539, pp.2425-2430, 2001. ,
Predicting the orientation of invisible stimuli from activity in human primary visual cortex, Nature neuroscience, vol.8, issue.5, pp.686-691, 2005. ,
Decoding mental states from brain activity in humans, Nature Reviews Neuroscience, vol.7, issue.7, pp.523-534, 2006. ,
DOI : 10.1038/nrn1931
An algorithmic introduction to numerical simulation of stochastic diierential equations, SIAM Review, vol.43, issue.3, pp.525-546, 2001. ,
The visual cortex is a contact bundle, Applied Mathematics and Computation, vol.32, issue.2, pp.137-167, 1989. ,
Automated separation of binary overlapping trees in low-contrast color retinal images, Medical Image Computing and Computer-Assisted Intervention-MICCAI 2013, pp.436-443, 2013. ,
Bridging low-level features and high-level semantics via fmri brain imaging for video classiication, Proceedings of the 18th ACM international conference on Multimedia, pp.451-460, 2010. ,
DOI : 10.1145/1873951.1874016
Bridging the semantic gap via functional brain imaging, IEEE Transactions on Multimedia, vol.14, issue.2, pp.314-325, 2012. ,
DOI : 10.1109/tmm.2011.2172201
Eye, brain, and vision. Scientiic American Library/Scientiic American Books, 1995. ,
Receptive elds, binocular interaction and functional architecture in the cat's visual cortex, The Journal of physiology, vol.160, issue.1, pp.106-154, 1962. ,
Ferrier lecture: Functional architecture of macaque monkey visual cortex, Proceedings of the Royal Society of London Series B: Biological Sciences, vol.198, pp.1-59, 1130. ,
Estimates for the heat kernel for a sum of squares of vector elds, Indiana University mathematics journal, vol.35, issue.4, pp.835-854, 1986. ,
Retrieving video shots in semantic brain imaging space using manifold-ranking, 18th IEEE International Conference on Image Processing, pp.3633-3636, 2011. ,
DOI : 10.1109/icip.2011.6116505
An evaluation of the two-dimensional gabor lter model of simple receptive elds in cat striate cortex, Journal of neurophysiology, vol.58, issue.6, pp.1233-1258, 1987. ,
Automated method for the identiication and analysis of vascular tree structures in retinal vessel network, SPIE Medical Imaging, pages 79630I-79630I. International Society for Optics and Photonics, 2011. ,
Retinal vessel tortuosity measures and their applications, Experimental eye research, vol.106, pp.40-46, 2013. ,
Decoding the visual and subjective contents of the human brain, Nature neuroscience, vol.8, issue.5, pp.679-685, 2005. ,
Principles of neural science, vol.4, 2000. ,
Organization in vision: Essays on Gestalt perception, 1979. ,
Grammatica del vedere: saggi su percezione e gestalt. Il mulino, 1980. ,
I can see what you see, Nature neuroscience, vol.12, issue.3, pp.245-245, 2009. ,
Identifying natural images from human brain activity, Nature, vol.452, issue.7185, pp.352-355, 2008. ,
A twostage cascade model of bold responses in human visual cortex, PLoS Comput Biol, vol.9, issue.5, p.1003079, 2013. ,
A theory of visual interpolation in object perception, Cognitive psychology, vol.23, issue.2, pp.141-221, 1991. ,
Shifts in selective visual attention: towards the underlying neural circuitry, Matters of intelligence, pp.115-141, 1987. ,
The structure of images, Biological cybernetics, vol.50, issue.5, pp.363-370, 1984. ,
Representation of local geometry in the visual system, K Kooka. Principles of gestalt psychology, vol.55, pp.367-375, 1935. ,
, Gestalt psychology, 1929.
Image representation using 2d gabor wavelets, IEEE Transactions on pattern analysis and machine intelligence, vol.18, issue.10, pp.959-971, 1996. ,
Dynamics of subjective contour formation in the early visual cortex, Proceedings of the National Academy of Sciences, vol.98, issue.4, pp.1907-1911, 2001. ,
A few thoughts on brain rois, Brain imaging and behavior, vol.5, issue.3, pp.189-202, 2011. ,
Form constraints in motion binding, Nature neuroscience, vol.4, issue.7, pp.745-751, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-00124908
A random walks view of spectral segmentation, 2001. ,
Phenomenology of perception, 1996. ,
Predicting human brain activity associated with the meanings of nouns, science, vol.320, issue.5880, pp.1191-1195, 2008. ,
Visual image reconstruction from human brain activity using a combination of multiscale local image decoders, Neuron, vol.60, issue.5, pp.915-929, 2008. ,
Variational techniques in encoding fmri data for cortical architecture modeling, 2016. ,
Elastica and computer vision, 1994. ,
Improved detection of the central reeex in retinal vessels using a generalized dual-Gaussian model and robust hypothesis testing, IEEE Transactions on Information Technology in Biomedicine, vol.12, issue.3, pp.406-410, 2008. ,
Bayesian reconstruction of natural images from human brain activity, Neuron, vol.63, issue.6, pp.902-915, 2009. ,
Encoding and decoding in fmri, Neuroimage, vol.56, issue.2, pp.400-410, 2011. ,
On spectral clustering: Analysis and an algorithm, Advances In Neural Information Processing Systems, vol.2, pp.849-856, 2002. ,
Reconstructing visual experiences from brain activity evoked by natural movies, Current Biology, vol.21, issue.19, pp.1641-1646, 2011. ,
Oxygenation-sensitive contrast in magnetic resonance image of rodent brain at high magnetic elds. Magnetic resonance in medicine, vol.14, pp.68-78, 1990. ,
Highly ordered arrangement of single neurons in orientation pinwheels, Nature, vol.442, issue.7105, pp.925-928, 2006. ,
Stochastic diierential equations: an introduction with applications, Springer Science & Business Media, 2013. ,
Retinotopic mapping with spin echo bold at 7t. Magnetic resonance imaging, vol.28, pp.1258-1269, 2010. ,
Convolution approach for feature detection in topological skeletons obtained from vascular patterns, Computational Intelligence in Biometrics and Identity Management (CIBIM), 2011 IEEE Workshop on, vol.11, pp.23-27, 1975. ,
Decoding unattended fearful faces with whole-brain correlations: an approach to identify condition-dependent large-scale functional connectivity, PLoS Comput Biol, vol.8, issue.3, p.1002441, 2012. ,
Trace inference, curvature consistency, and curve detection ,
, Fabian Pedregosa-Izquierdo. Feature extraction and supervised learning on fMRI: from practice to theory, IEEE Transactions, vol.11, issue.8, pp.823-839, 1989.
A factorization approach to grouping, European Conference on Computer Vision, pp.655-670, 1998. ,
The neurogeometry of pinwheels as a sub-riemannian contact structure, Journal of Physiology-Paris, vol.97, issue.2, pp.265-309, 2003. ,
Neurogéométrie de la vision: modeles mathematiques et physiques des architectures fonctionnelles. Editions Ecole Polytechnique, 2008. ,
Vers une neurogéométrie. brations corticales, structures de contact et contours subjectifs modaux. Mathématiques informatique et sciences humaines, pp.5-102, 1999. ,
Perceptual completion across the vertical meridian and the role of early visual cortex, Neuron, vol.33, issue.5, pp.805-813, 2002. ,
The retina: the anatomy and the histology of the retina in man, ape, and monkey, including the consideration of visual functions, the history of physiological optics, and the histological laboratory technique, 1941. ,
Live-vessel: Extending livewire for simultaneous extraction of optimal medial and boundary paths in vascular images, In Medical Image Computing and Computer-Assisted Intervention-MICCAI, pp.444-451, 2007. ,
Vessel extraction in medical images by wave-propagation and traceback, IEEE Transactions on Medical Imaging, vol.20, issue.2, pp.117-131, 2001. ,
Decoding brain states from fmri connectivity graphs, Neuroimage, vol.56, issue.2, pp.616-626, 2011. ,
Spatial structure and symmetry of simple-cell receptive elds in macaque primary visual cortex, Journal of neurophysiology, vol.88, issue.1, pp.455-463, 2002. ,
Monte Carlo statistical methods ,
, Business Media, 2013.
Front-end vision and multi-scale image analysis: multi-scale computer vision theory and applications, written in mathematica, Springer Science &, vol.27, 2008. ,
Nonlinear dimensionality reduction by locally linear embedding, Science, vol.290, issue.5500, pp.2323-2326, 2000. ,
Invariant models of vision between phenomenology, image statistics and neurosciences, 2011. ,
Gonzalo Sanguinetti, Giovanna Citti, and Alessandro Sarti. A model of natural image edge co-occurrence in the rototranslation group, Int. Conf. Comput. Vision Theory and Appl.(VISAPP'08), vol.10, p.37, 2008. ,
On the origin and nature of neurogeometry. La Nuova Critica, 2011. ,
The constitution of visual perceptual units in the functional architecture of v1, Journal of computational neuroscience, vol.38, issue.2, pp.285-300, 2015. ,
The symplectic structure of the primary visual cortex, Biological Cybernetics, vol.98, issue.1, pp.33-48, 2008. ,
Spatial mapping in the primate sensory projection: analytic structure and relevance to perception, Biological cybernetics, vol.25, issue.4, pp.181-194, 1977. ,
Computational anatomy and functional architecture of striate cortex: a spatial mapping approach to perceptual coding, Vision research, vol.20, issue.8, pp.645-669, 1980. ,
The role of complex cells in object recognition, Vision Research, vol.42, issue.22, pp.2547-2554, 2002. ,
Normalized cuts and image segmentation, IEEE Transactions, vol.22, issue.8, pp.888-905, 2000. ,
Perception of partly occluded objects and illusory gures: Evidence for an identity hypothesis, Journal of Experimental Psychology: Human Perception and Performance, vol.18, issue.1, p.106, 1992. ,
Spatiotemporal boundary formation: boundary, form, and motion perception from transformations of surface elements, Journal of Experimental Psychology: General, vol.123, issue.1, p.3, 1994. ,
Ridge-based vessel segmentation in color images of the retina, IEEE Transactions on Medical Imaging, vol.23, issue.4, pp.501-509, 2004. ,
Physiological studies on neural mechanisms of visual localization and discrimination, American Journal of Ophthalmology, vol.24, issue.11, pp.1255-1264, 1941. ,
Inverse retinotopy: inferring the visual content of images from brain activation patterns, Neuroimage, vol.33, issue.4, pp.1104-1116, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00349668
Analysis of a large fmri cohort: Statistical and methodological issues for group analyses, Neuroimage, vol.35, issue.1, pp.105-120, 2007. ,
URL : https://hal.archives-ouvertes.fr/cea-00371089
Analytic solution of stochastic completion elds, Biological Cybernetics, vol.75, issue.2, pp.141-151, 1996. ,
Oxygenation dependence of the transverse relaxation time of water protons in whole blood at high eld ,
, Biochimica et Biophysica Acta (BBA)-General Subjects, vol.714, issue.2, pp.265-270, 1982.
Regression shrinkage and selection via the lasso, Journal of the Royal Statistical Society. Series B (Methodological), pp.267-288, 1996. ,
Functional anatomy of macaque striate cortex. ii. retinotopic organization, The Journal of Neuroscience, vol.8, issue.5, pp.1531-1568, 1988. ,
Fundamentals of computational neuroscience, 2009. ,
Relationships between horizontal interactions and functional architecture in cat striate cortex as revealed by cross-correlation analysis, The Journal of Neuroscience, vol.6, issue.4, pp.1160-1170, 1986. ,
From stochastic completion elds to tensor voting, Deep Structure, Singularities, and Computer Vision, pp.124-134, 2005. ,
Perception of occluding contours: Neural mechanisms and a computational model, Biomedical research, vol.14, pp.1-6, 1993. ,
A tutorial on spectral clustering, Statistics and Computing, vol.17, issue.4, pp.395-416, 2007. ,
Nonparametric sparse hierarchical models describe v1 fmri responses to natural images, Advances in Neural Information Processing Systems, pp.1337-1344, 2009. ,
Encoding and decoding v1 fmri responses to natural images with sparse nonparametric models. The annals of applied statistics, vol.5, p.1159, 2011. ,
A century of gestalt psychology in visual perception: I. perceptual grouping and gure-ground organization, Psychological bulletin, vol.138, issue.6, p.1172, 2012. ,
Natural scene categories revealed in distributed patterns of activity in the human brain, The Journal of Neuroscience, vol.29, issue.34, pp.10573-10581, 2009. ,
Max Wertheimer. Laws of organization in perceptual forms, The proceedings of the Seventh IEEE International Conference on, vol.2, pp.975-982, 1938. ,
Local parallel computation of stochastic completion elds, Neural computation, vol.9, issue.4, pp.859-881, 1997. ,
Stochastic completion elds: A neural model of illusory contour shape and salience, Neural computation, vol.9, issue.4, pp.837-858, 1997. ,
Computerized analysis of retinal vessel width and tortuosity in premature infants, Investigative ophthalmology &, vol.49, issue.8, pp.3577-3585, 2008. ,
, Central visual pathways. Principles of neural science, vol.4, pp.523-545, 2000.
Vessel boundary delineation on fundus images using graph-based approach, IEEE Transactions on Medical Imaging, vol.30, issue.6, pp.1184-1191, 2011. ,
A Vision of the Brain, 1993. ,
Self-tuning spectral clustering, 2005. ,
Numerical approaches for linear left-invariant diiusions on se (2), their comparison to exact solutions, and their applications in retinal imaging, Numerical Mathematics: Theory, Methods and Applications, vol.9, issue.01, pp.1-50, 2016. ,
Optimization of functional brain rois via maximization of consistency of structural connectivity prooles, NeuroImage, vol.59, issue.2, pp.1382-1393, 2012. ,
Dicccol: dense individualized and common connectivitybased cortical landmarks, Cerebral cortex, p.72, 2012. ,
Diierential geometry from the frenet point of view: boundary detection, stereo, texture and color, Handbook of mathematical models in computer vision, pp.357-373, 2006. ,