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Superior Colliculus geometry for spatio-temporal transformation

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The superior colliculus maps encode the position of targets in retinotopic space using a linear or a logarithmic mapping, depending on the species considered. In turn, the motor map projects to the saccade generators where this spatial code is transformed into a temporal one. We use a set of five hypotheses in accordance with current neurobiological knowledge concerning the spatio-temporal transformation to show that the logarithmic and linear mappings are the only possible ones. Finally, given these mappings, we analytically determine the weights of the projections from the superior colliculus to the saccade generators, and prove that, surprisingly, they depend linearly on the target coordinates in the visual space.
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Dates and versions

hal-00016885 , version 1 (13-01-2006)


  • HAL Id : hal-00016885 , version 1


Nicolas Tabareau, Benoît Girard, Daniel Bennequin, Alain Berthoz, Jean-Jacques Slotine. Superior Colliculus geometry for spatio-temporal transformation. 2006. ⟨hal-00016885⟩
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