Jean Petitot
Jean Petitot
Some papers of this special issue concern recent results on mathematical models of segmentation. As they are rather technical we propose here a pedagogical introduction for the non-mathematical reader. We briefly present the variational mod...
A Johnston,P W McOwan,C P Benton
A Johnston
A theory of early motion processing in the human and primate visual system is presented which is based on the idea that spatio-temporal retinal image data is represented in primary visual cortex by a truncated 3D Taylor expansion that we re...
Agnès Desolneux,Lionel Moisan,Jean-Michel Morel
Agnès Desolneux
In 1923, Max Wertheimer proposed a research programme and method in visual perception. He conjectured the existence of a small set of geometric grouping laws governing the perceptual synthesis of phenomenal objects, or "gestalt" from the at...
Jean Petitot
Jean Petitot
We present a geometrical model of the functional architecture of the primary visual cortex (V1) and, more precisely, of its pinwheel structure. The problem is to understand from within how the internal "imminent" geometry of the visual cort...
F Wolf,T Geisel
F Wolf
During ontogenetic development, the visual cortical circuitry is remodeled by activity-dependent mechanisms of synaptic plasticity. From a dynamical systems perspective this is a process of dynamic pattern formation. The emerging cortical n...
Large-scale modeling of the primary visual cortex: influence of cortical architecture upon neuronal response [0.03%]
大型初级视觉皮层模型：皮质结构对神经元反应的影响
David McLaughlin,Robert Shapley,Michael Shelley
David McLaughlin
A large-scale computational model of a local patch of input layer 4 [Formula: see text] of the primary visual cortex (V1) of the macaque monkey, together with a coarse-grained reduction of the model, are used to understand potential effects...
The functional geometry of local and horizontal connections in a model of V1 [0.03%]
V1模型中局部和水平连接的功能几何结构
Paul C Bressloff,Jack D Cowan
Paul C Bressloff
A mathematical model of interacting hypercolumns in primary visual cortex (V1) is presented that incorporates details concerning the geometry of local and long-range horizontal connections. Each hypercolumn is modeled as a network of intera...
Boris Gutkin,David Pinto,Bard Ermentrout
Boris Gutkin
Applications of mathematics and computational techniques to our understanding of neuronal systems are provided. Reduction of membrane models to simplified canonical models demonstrates how neuronal spike-time statistics follow from simple p...
Cortical connections and early visual function: intra- and inter-columnar processing [0.03%]
皮质联络与早期视觉功能：柱内和柱间的处理过程
Ohad Ben-Shahar,Patrick S Huggins,Tomas Izo et al.
Ohad Ben-Shahar et al.
While it is widely assumed that the long-range horizontal connections in V1 are present to support contour integration, there has been only limited consideration of other possible relationships between anatomy and physiology (the horizontal...
Benjamin B Kimia
Benjamin B Kimia
A key challenge underlying theories of vision is how the spatially restricted, retinotopically represented feature analysis can be integrated to form abstract, coordinate-free object models. A resolution likely depends on the use of interme...