Statistical mechanics and visual signal processing

Nous montrons comment employer le langage de la theorie statistique des champs pour poser et resoudre des problemes ou l'on doit estimer une caracteristique de l'environnement a l'aide de donnees provenant d'un ensemble de detecteurs. Dans ce formalisme, l'estimateur optimal peut etre ecrit comme la valeur moyenne d'un operateur, l'ensemble des donnees d'entree agissant comme un champ externe. Les problemes a faible rapport signal-bruit sont resolus par la theorie des perturbations. La methode du col est employee pour ceux a haut rapport signal-bruit. Ces idees sont illustrees en details sur un modele d'estimation visuelle du mouvement base sur un probleme resolu par la mouche

[1]  B. Hassenstein,et al.  Systemtheoretische Analyse der Zeit-, Reihenfolgen- und Vorzeichenauswertung bei der Bewegungsperzeption des Rüsselkäfers Chlorophanus , 1956 .

[2]  J. Gillis,et al.  Probability and Related Topics in Physical Sciences , 1960 .

[3]  A. N. Kolmogorov,et al.  Interpolation and extrapolation of stationary random sequences. , 1962 .

[4]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[5]  W Reichardt,et al.  Visual control of orientation behaviour in the fly: Part II. Towards the underlying neural interactions , 1976, Quarterly Reviews of Biophysics.

[6]  W Reichardt,et al.  Visual control of orientation behaviour in the fly: Part I. A quantitative analysis , 1976, Quarterly Reviews of Biophysics.

[7]  Paul Horowitz,et al.  The Art of Electronics , 1980 .

[8]  H. Barlow.  Critical limiting factors in the design of the eye and visual cortex , 1981 .

[9]  C. Wehrhahn,et al.  Microsurgical lesion of horizontal cells changes optomotor yaw responses in the blowfly Calliphora erythrocephala , 1983, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[10]  M. Srinivasan.  The impulse response of a movement-detecting neuron and its interpretation , 1983, Vision Research.

[11]  Donald Geman,et al.  Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[12]  K. Hausen.  The Lobula-Complex of the Fly: Structure, Function and Significance in Visual Behaviour , 1984 .

[13]  Erich Buchner,et al.  Behavioural Analysis of Spatial Vision in Insects , 1984 .

[14]  Tomaso Poggio,et al.  Computational vision and regularization theory , 1985, Nature.

[15]  H. Wagner.  Flight Performance and Visual Control of Flight of the Free-Flying Housefly (Musca Domestica L.) I. Organization of the Flight Motor , 1986 .

[16]  H. Wagner.  Flight Performance and Visual Control of Flight of the Free-Flying Housefly (Musca Domestica L.) III. Interactions Between Angular Movement Induced by Wide- and Smallfield Stimuli , 1986 .

[17]  H. Wagner.  Flight performance and visual control of flight of the free-flying housefly (Musca domestica L.) II. Pursuit of targets , 1986 .

[18]  Zee,et al.  Statistical mechanics and invariant perception. , 1987, Physical review letters.

[19]  C. Koch,et al.  The analysis of visual motion: from computational theory to neuronal mechanisms. , 1986, Annual review of neuroscience.

[20]  Tariq S. Durrani,et al.  Traitement du signal =: Signal processing , 1987 .

[21]  W. Bialek,et al.  Physical limits to sensation and perception. , 1987, Annual review of biophysics and biophysical chemistry.

[22]  Alexander Borst,et al.  Principles of visual motion detection , 1989, Trends in Neurosciences.

[23]  K. Donner.  The absolute sensitivity of vision: can a frog become a perfect detector of light-induced and dark rod events? , 1989 .

[24]  William Bialek,et al.  Reading a Neural Code , 1991, NIPS.

[25]  Alexa Riehle,et al.  Directionally Selective Motion Detection by Insect Neurons , 1989 .

[26]  W. G. Owen,et al.  Temporal filtering in retinal bipolar cells. Elements of an optimal computation? , 1990, Biophysical journal.

[27]  William Bialek,et al.  Coding and computation with neural spike trains , 1990 .

[28]  William Bialek,et al.  Optimal Filtering in the Salamander Retina , 1990, NIPS.

[29]  L. Marcelja,et al.  A Test for Multiplication in Insect Directional Motion Detectors , 1991 .

[30]  George Adrian Horridge,et al.  The H1 Neuron Measures Change in Velocity Irrespective of Contrast Frequency, Mean Velocity or Velocity Modulation Frequency , 1991 .

[31]  William Bialek,et al.  Seeing Beyond the Nyquist Limit , 1999, Neural Computation.

[32]  A. Das.  Path Integrals and Quantum Mechanics , 1993 .

[33]  William Bialek,et al.  Statistics of Natural Images: Scaling in the Woods , 1993, NIPS.

[34]  Fred Rieke,et al.  Coding Efficiency and Information Rates in Sensory Neurons , 1993 .

[35]  William Bialek,et al.  Bits and brains: Information flow in the nervous system , 1993 .