Representation of local geometry in the visual system, Biological Cybernetics, vol.53, issue.6, pp.367-375, 1987. ,
DOI : 10.1007/BF00318371
The Gaussian scale-space paradigm and the multiscale local jet, International Journal of Computer Vision, vol.24, issue.1, pp.61-75, 1996. ,
DOI : 10.1007/BF00126140
Digital Image Processing, 1978. ,
Computer Vision : a modern approach, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-01063327
The visual neurosciences, 2004. ,
A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue, Kybernetik, vol.12, issue.2, pp.55-80, 1973. ,
DOI : 10.1007/BF00288786
Optimal orientation detection of linear symmetry, Proc. First Int'l Conf. Comput. Vision, pp.433-438, 1987. ,
Representing Local Structure Using Tensors II, Scandinavian Conference on Image Analysis, pp.244-251, 1989. ,
DOI : 10.1007/978-3-540-75757-3_110
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.651.1313
Orientation selectivity, preference, and continuity in monkey striate cortex, Journal of Neuroscience, vol.12, pp.3139-3161, 1992. ,
Voltage-sensitive dyes reveal a modular organization in monkey striate cortex, Nature, vol.162, issue.6070, pp.579-585, 1986. ,
DOI : 10.1038/321579a0
Orientation columns in cat are organized in pinwheel like patterns, Nature, vol.364, pp.429-431, 1991. ,
Optical Imaging of the Layout of Functional Domains in Area 17 and Across the Area 17/18 Border in Cat Visual Cortex, European Journal of Neuroscience, vol.57, issue.9, pp.1973-1988, 1995. ,
DOI : 10.1111/j.1460-9568.1995.tb00720.x
Spatial frequency maps in cat visual cortex, J Neurosci, vol.20, pp.8504-8514, 2000. ,
The M, P, and K pathways of the primate visual system, chapter 30, pp.481-493, 2004. ,
Parallel visual pathways: a comparative perspective, chapter 31, pp.494-506, 2004. ,
Contrast sensitivity and spatial frequency response of primate cortical neurons in and around the cytochrome oxidase blobs, Vision Research, vol.35, issue.11, pp.1501-1523, 1995. ,
DOI : 10.1016/0042-6989(94)00253-I
Anatomy and physiology of a color system in the primate visual cortex, Journal of Neuroscience, vol.4, pp.309-356, 1984. ,
Divided by Cytochrome Oxidase: A Map of the Projections from V1 to V2 in Macaques, Science, vol.295, issue.5560, pp.1734-1737, 2002. ,
DOI : 10.1126/science.1067902
Functional anatomy of macaque striate cortex. v. spatial frequency, Journal of Neuroscience, vol.8, pp.1610-1624, 1988. ,
A spherical model for orientation and spatial-frequency tuning in a cortical hypercolumn, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.358, issue.1438, 2003. ,
DOI : 10.1098/rstb.2002.1109
The functional geometry of local and horizontal connections in a model of V1, Journal of Physiology-Paris, vol.97, issue.2-3, pp.221-236, 2003. ,
DOI : 10.1016/j.jphysparis.2003.09.017
Cytochrome Oxidase and Functional Coding in Primate Striate Cortex: A Hypothesis, Cold Spring Harbor Symposia on Quantitative Biology, vol.55, issue.0, pp.979-982, 1990. ,
DOI : 10.1101/SQB.1990.055.01.092
Dynamics of pattern formation in lateral-inhibition type neural fields, Biological Cybernetics, vol.13, issue.2, pp.77-87, 1977. ,
DOI : 10.1007/BF00337259
Modeling feature selectivity in local cortical circuits. Methods of neuronal modeling, pp.499-567, 1997. ,
Neural networks as spatio-temporal pattern-forming systems, Reports on Progress in Physics, vol.61, issue.4, pp.353-430, 1998. ,
DOI : 10.1088/0034-4885/61/4/002
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.16.6053
The Dynamic Brain: From Spiking Neurons to Neural Masses and Cortical Fields, PLoS Computational Biology, vol.355, issue.2, 2008. ,
DOI : 10.1371/journal.pcbi.1000092.t001
VSDI: a new era in functional imaging of cortical dynamics, Nature Reviews Neuroscience, vol.28, issue.11, pp.874-885, 2004. ,
DOI : 10.1529/biophysj.104.040477
A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices, SIAM Journal on Matrix Analysis and Applications, vol.26, issue.3, pp.735-747, 2005. ,
DOI : 10.1137/S0895479803436937
The theory of matrices Chelsea Publishing Company;Two volumes, 1959. ,
Fuchsian Groups, 1992. ,
Chaos on the pseudosphere, Physics Reports, vol.143, issue.3, pp.109-240, 1986. ,
DOI : 10.1016/0370-1573(86)90159-6
Spectral methods of automorphic forms, AMS Graduate Series in Mathematics AMS Bookstore, vol.53, 2002. ,
DOI : 10.1090/gsm/053
Representation theory and automorphic functions, 1990. ,
Fuchssche Gruppen, die freies Produkt zweier zyklischer Gruppen sind, und die Gleichungx 2+y 2+z 2=xyz, Mathematische Annalen, vol.4, issue.3, pp.213-227, 1972. ,
DOI : 10.1007/BF01429875
An algorithm for $2$-generator Fuchsian groups., The Michigan Mathematical Journal, vol.38, issue.1, pp.13-32, 1991. ,
DOI : 10.1307/mmj/1029004258
Two-generator discrete subgroups of PSL, 1995. ,
Polynomial complexity of the Gilman-Maskit discreteness algorithm, Annales Academiae Scientiarum Fennicae Mathematica, vol.26, pp.375-390, 2001. ,
What Geometric Visual Hallucinations Tell Us about the Visual Cortex, Neural Computation, vol.222, issue.8, pp.473-491, 2002. ,
DOI : 10.1007/BF00288786
Groups and geometric analysis, 2000. ,
DOI : 10.1090/surv/083
Topics in Bifurcation Theory and Applications, of Advanced Series in Nonlinear Dynamics World Scientific, 1998. ,
Singularities and Groups in Bifurcation Theory, 1988. ,
Lectures on bifurcations, dynamics and symmetry, Number, vol.356, 1996. ,
Wave Computation on the Hyperbolic Double Doughnut, Journal of Computational Mathematics, 2009. ,
DOI : 10.4208/jcm.1004.m3120
Geometric visual hallucinations, Euclidean symmetry and the functional architecture of striate cortex, Philosophical Transactions of the Royal Society B: Biological Sciences, vol.356, issue.1407, pp.299-330, 2001. ,
DOI : 10.1098/rstb.2000.0769
The visual cortex as a crystal, Physica D: Nonlinear Phenomena, vol.173, issue.3-4, pp.226-258, 2002. ,
DOI : 10.1016/S0167-2789(02)00677-2
SO(3) Symmetry Breaking Mechanism for Orientation and Spatial Frequency Tuning in the Visual Cortex, Physical Review Letters, vol.88, issue.7, 2002. ,
DOI : 10.1103/PhysRevLett.88.078102
Cortical connections and early visual function: intra- and inter-columnar processing, Journal of Physiology-Paris, vol.97, issue.2-3, pp.191-208, 2003. ,
DOI : 10.1016/j.jphysparis.2003.09.004
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.6672
Improving Consistency and Reducing Ambiguity in Stochastic Labeling: An Optimization Approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.3, issue.4, pp.412-424, 1980. ,
DOI : 10.1109/TPAMI.1981.4767127
On the foundations of relaxation labeling processes, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.5, pp.267-287, 1983. ,
The perceptual organization of texture flow: a contextual inference approach, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.25, issue.4, pp.401-417, 2003. ,
DOI : 10.1109/TPAMI.2003.1190568
Geometrical Computations Explain Projection Patterns of Long-Range Horizontal Connections in Visual Cortex, Neural Computation, vol.6, issue.4, pp.445-476, 2004. ,
DOI : 10.1162/neco.1989.1.1.68
Neurogéométrie de la vision, 2009. ,
The neurogeometry of pinwheels as a sub-Riemannian contact structure, Journal of Physiology-Paris, vol.97, issue.2-3, pp.265-309, 2003. ,
DOI : 10.1016/j.jphysparis.2003.10.010
Contour integration by the human visual system: Evidence for a local ???association field???, Vision Research, vol.33, issue.2, pp.173-193, 1993. ,
DOI : 10.1016/0042-6989(93)90156-Q
Contour Integration and the Lateral Connections of V1 Neurons, chapter 70, 2004. ,