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Geometry of the superior colliculus mapping and efficient oculomotor computation

Nicolas Tabareau, Daniel Bennequin, Alain Berthoz, Jean-Jacques Slotine, Benoît Girard
2007 Biological cybernetics  
We provide here, for the first time, a theory involving the motor function of the superior colliculus to explain the geometry of its maps.  ...  We use six hypotheses in accordance with neurobiology to show that linear and logarithmic mappings are the only ones compatible with the generation of saccadic motor command.  ...  Acknowledgements The authors would like to gratefully thank A. Grantyn and A. Moschovakis for the valuable discussions, and H. Hicheur for valuable suggestions concerning the manuscript.  ... 
doi:10.1007/s00422-007-0172-2 pmid:17690902 fatcat:qsaj5n2s3vdetbw6q6e63q5zya

Learning and Maintaining Saccadic Accuracy: A Model of Brainstem–Cerebellar Interactions

Paul Dean, John E. W. Mayhew, Pat Langdon
1994 Journal of Cognitive Neuroscience  
fiber projection from superior colliculus to the oculomotor vermis via the inferior olive.  ...  The visual map in the upper layers and the motor map underlying it are in approximate register.  ... 
doi:10.1162/jocn.1994.6.2.117 pmid:23962365 fatcat:r6jl6qz3bjcpneqhbvzqyif3de

Robotic Vision with the Conformal Camera: Modeling Perisaccadic Perception

Jacek Turski
2010 Journal of Robotics  
The brain's visuosaccadic circuitry uses the oculomotor command of each impending saccade to shift receptive fields (RFs) to cortical locations before the eyes take them there, giving a continuous and  ...  Here, the related neuroscience background is presented, effectiveness of the conformal camera's non-Euclidean geometry in intermediate-level vision is discussed, and the algorithmic steps in modeling perisaccadic  ...  Acknowledgment The author thanks Dr. Noriyasu Homma for helpful comments.  ... 
doi:10.1155/2010/130285 fatcat:hnv3l4h55jfsxonlnpbcslcvti

Geometric Analysis of the Conformal Camera for Intermediate-Level Vision and Perisaccadic Perception [article]

Jacek Turski
2009 arXiv   pre-print
Because our modeling involves cross-disciplinary areas of conformal geometry, abstract and computational harmonic analysis, computational vision, and visual neuroscience, we include the corresponding background  ...  We also emphasize the conformal camera's geometry and discuss how it is uniquely useful in the intermediate-level vision computational aspects of natural scene understanding.  ...  the superior colliculus (SC), parietal eye field (PEF), and frontal eye field (FEF).  ... 
arXiv:0908.3359v2 fatcat:jta3mga3ejhttod7o5jkd4dqhe

Generative Models for Active Vision

Thomas Parr, Noor Sajid, Lancelot Da Costa, M. Berk Mirza, Karl J. Friston
2021 Frontiers in Neurorobotics  
The active visual system comprises the visual cortices, cerebral attention networks, and oculomotor system.  ...  A key theme of this paper is the relationship between "looking" and "seeing" under the brain's implicit generative model of the visual world.  ...  network over the superior colliculus (Hikosaka and Wurtz, 1983) .  ... 
doi:10.3389/fnbot.2021.651432 pmid:33927605 pmcid:PMC8076554 fatcat:7erlv2pdz5fxfm5upi6gwqq3dm

Three-dimensional extraocular motoneuron innervation in the rhesus monkey

Y. Suzuki, D. Straumann, J. I. Simpson, K. Hepp, B. J. M. Hess, V. Henn
1999 Experimental Brain Research  
The activity of 51 motoneuron axons was obtained from the oculomotor (n=34), trochlear (n=11), and abducens nerve (n=6) during spontaneous eye movements.  ...  The computed rotation axes of the horizontal recti were close to being in the x-z plane at an angle of about 15°to the z axis.  ...  Acknowledgements We thank the late Mrs. Vappu Furrer-Isoviita for excellent technical assistance and Dr. Max Dürsteler for computer support. We are grateful to Dr.  ... 
doi:10.1007/s002210050728 pmid:10369141 fatcat:xgo5fsfczbffzehaxttwanfwda

The foveal visual representation of the primate superior colliculus [article]

Chih-Yang Chen, Klaus-Peter Hoffmann, Claudia Distler, Ziad Hafed
2019 bioRxiv   pre-print
Here we document functional and structural properties of the foveal visual representation of midbrain superior colliculus.  ...  Superior colliculus also represents such input in an orderly and very specific manner, and it magnifies representation of foveal images in neural tissue as much as primary visual cortex does.  ...  Perry, The projection of the fovea to the superior colliculus in rhesus Schiller, The role of the monkey superior colliculus in eye movement and vision. Goldberg, R. H.  ... 
doi:10.1101/554121 fatcat:vums7vcoonb4xmjibcookvvkuy

Goal-Related Activity in V4 during Free Viewing Visual Search

James A Mazer, Jack L Gallant
2003 Neuron  
tions between filters produce a retinotopic salience map. Oculomotor plans based on such a salience map Summary can be used to facilitate efficient use of limited foveal resources.  ...  Single-neuron recording studies activity is enhanced prior to saccades that move the have demonstrated that the superior colliculus (SC), the fovea toward the location previously occupied by a frontal  ...  ., and Ullman, S. (1985).  ... 
doi:10.1016/s0896-6273(03)00764-5 pmid:14687556 fatcat:c7l6kpyfbvcqdeyeyggoh2kgay

Human Oculomotor System Accounts for 3-D Eye Orientation in the Visual-Motor Transformation for Saccades

Eliana M. Klier, J. Douglas Crawford
1998 Journal of Neurophysiology  
A recent theoretimary visual cortex, and the superficial layers of the superior cal investigation has demonstrated that three-dimensional (3-D) eye colliculus (Hubel and Wiesel 1979; Sparks 1989).  ...  Human oculomotor sysexample, visible light is initially coded on several two-ditem accounts for 3-D eye orientation in the visual-motor transformation mensional (2-D) retinotopic maps including the retina  ...  counterroll during binocular of the superior colliculus (Moschovakis et al. 1988 ) and has viewing).  ... 
doi:10.1152/jn.1998.80.5.2274 pmid:9819243 fatcat:tyn6jpvjavf4pjq7yaauvt7iti

The Eye of a Mathematical Physicist

Klaus Hepp
2009 Journal of statistical physics  
Then we explain space-time transformations in the superior colliculus, the performance of a canonical cortical circuit in the frontal eye field and finally the recurrent interaction of both areas, which  ...  We are not interested in M 's somatic motor system and we will not characterize it further. The junction between NC and BS is formed by the thalamus (TH) and superior colliculus (SC).  ...  Acknowledgements I am grateful to the late V. Henn for having introduced me to the brainstem, and to R.J. Douglas, J. Heinzle and K.A.C. Martin for having elevated me to the neocortex.  ... 
doi:10.1007/s10955-009-9719-z fatcat:eb4vpmtxobavvdxmq2grobezom

Saccade learning with concurrent cortical and subcortical basal ganglia loops [article]

Steve N'Guyen, Charles Thurat, Benoît Girard
2013 arXiv   pre-print
We propose a model of saccade generation with reinforcement learning capabilities based on our previous basal ganglia and superior colliculus models.  ...  We study here how the very specific structural relationships of these saccadic loops can affect the ability of learning spatial and feature-based tasks.  ...  Most of the components of the model are 70 × 70 2D maps of lPDS neurons for each hemifield, respecting the complex-logarithmic geometry of the macaque superior colliculus, as modeled by (Ottes et al.,  ... 
arXiv:1312.5212v2 fatcat:6rlmp6iqtzflnlwhiprgsdexye

A high-resolution anatomical framework of the neonatal mouse brain for managing gene expression data

Erh-Fang Lee
2007 Frontiers in Neuroinformatics  
A color Nissl-stained volume with a resolution of 13.3 × 50 × 13.3 m 3 was constructed and co-registered to a standard anatomical space defined by an averaged geometry of C57BL/6J P0 mouse brains.  ...  relationship between the differentiated distribution pattern of gene products and specific anatomical systems.  ...  Resources at the National Institutes of Health (NIH).  ... 
doi:10.3389/neuro.11.006.2007 pmid:18974801 pmcid:PMC2525996 fatcat:fgbaobfdpfbxpp6ammfh4sccim

The Conformal Camera in Modeling Active Binocular Vision

Jacek Turski
2016 Symmetry  
The asymmetric conformal camera model constructed here includes the fovea's asymmetric displacement on the retina and the eye's natural crystalline lens tilt and decentration, as observed in ophthalmological  ...  This model utilizes the geometric analysis on the Riemann sphere developed in the group-theoretic framework of the conformal camera, thus far only applicable in modeling monocular vision.  ...  Conflicts of Interest: The author declares no conflict of interest.  ... 
doi:10.3390/sym8090088 fatcat:2573y7oknfeqhnwdk7icsggodm

Modelling 3D saccade generation by feedforward optimal control

Akhil John, Carlos Aleluia, A. John Van Opstal, Alexandre Bernardino, Gunnar Blohm
2021 PLoS Computational Biology  
To explain all these properties, we developed a computational model, based on a simplified and upscaled robotic prototype of an eye with 3 degrees of freedom, driven by three independent motor commands  ...  Another distinctive saccade property is their nonlinear main-sequence dynamics: the affine relationship between saccade size and movement duration, and the saturation of peak velocity with amplitude.  ...  José Santos-Victor of the Computer and Robot Visual Laboratory of the Institute Superior Técnico in Lisbon,Portugal, for valuable feedback.  ... 
doi:10.1371/journal.pcbi.1008975 pmid:34029310 fatcat:ofmrallfjzfnnanhm5lzafrcgy

Binocular Imaging with The Conformal Eyes [article]

Jacek Turski
2022 bioRxiv   pre-print
The PFT is fast computable by an FFT algorithm in log-polar coordinates known to approximate the retina-cortical mapping of the human brain's visual pathways.  ...  The conformal geometry of the Riemann sphere establishes efficient image representation in terms of the projective Fourier transform (PFT)—the Fourier transform on the group of image projective transformations  ...  Both ( 6 ) and ( 7 ) can be computed efficiently by FFT.  ... 
doi:10.1101/2022.06.06.494878 fatcat:4ulkuhtcyvgwnmogm2o5dbvp4q
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