We model the functional architecture of the primary visual cortex V1 as a principal fiber bundle where the two-dimensional retinal plane is the base manifold and the secondary variables of orientation and scale constitute the vertical fibers over each point as a rotation–dilation group. The total space is endowed with a natural symplectic structure neurally implemented by long range horizontal connections. The model shows what could be the deep structure for both boundary and figure completion and for morphological structures, such as the medial axis of a shape.
The symplectic structure of the primary visual cortex / Sarti A.;| Citti G.;| Petitot J.;. - In: BIOLOGICAL CYBERNETICS. - ISSN 0340-1200. - STAMPA. - 98:(2008), pp. 33-48. [10.1007/s00422-007-0194-9]
The symplectic structure of the primary visual cortex
SARTI, ALESSANDRO;CITTI, GIOVANNA;
2008
Abstract
We model the functional architecture of the primary visual cortex V1 as a principal fiber bundle where the two-dimensional retinal plane is the base manifold and the secondary variables of orientation and scale constitute the vertical fibers over each point as a rotation–dilation group. The total space is endowed with a natural symplectic structure neurally implemented by long range horizontal connections. The model shows what could be the deep structure for both boundary and figure completion and for morphological structures, such as the medial axis of a shape.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
