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Found 13 papers, 0 papers with code
Cortical Functional architectures as contact and sub-Riemannian geometry
In a joint paper, Jean Petitot together with the authors of the present paper described the functional geometry of the visual cortex as the symplectization of a contact form to describe the family of cells sensitive to position, orientation and scale.
A sub-Riemannian model of the functional architecture of M1 for arm movement direction
In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1).
Good continuation in 3D: the neurogeometry of stereo vision
Classical good continuation for image curves is based on $2D$ position and orientation.
Functional architecture of M1 cells encoding movement direction
In this paper we propose a neurogeometrical model of the behaviour of cells of the arm area of the primary motor cortex (M1).
Emergence of Lie symmetries in functional architectures learned by CNNs
Moreover, the first convolutional layer is equipped with lateral connections defined as a propagation driven by a learned connectivity kernel, in analogy with the horizontal connectivity of the primary visual cortex (V1).
LGN-CNN: a biologically inspired CNN architecture
Thus, contrast invariance capability of the LGN-CNN is investigated and a comparison between the Retinex effects of the first layer of LGN-CNN and the Retinex effects of a LoG is provided on different images.
KerCNNs: biologically inspired lateral connections for classification of corrupted images
The state of the art in many computer vision tasks is represented by Convolutional Neural Networks (CNNs).
Ranked #19 on
Image Classification
on Kuzushiji-MNIST
Neurogeometry of perception: isotropic and anisotropic aspects
In this paper we first recall the definition of geometical model of the visual cortex, focusing in particular on the geometrical properties of horizontal cortical connectivity.
Curvature Integration in a 5D Kernel for Extracting Vessel Connections in Retinal Images
Tree-like structures such as retinal images are widely studied in computer-aided diagnosis systems for large-scale screening programs.
Analysis of Vessel Connectivities in Retinal Images by Cortically Inspired Spectral Clustering
These signs can be investigated based on microaneurysms or smaller vessels.
Local and global gestalt laws: A neurally based spectral approach
A mathematical model of figure-ground articulation is presented, taking into account both local and global gestalt laws.
Cortical spatio-temporal dimensionality reduction for visual grouping
The visual systems of many mammals, including humans, is able to integrate the geometric information of visual stimuli and to perform cognitive tasks already at the first stages of the cortical processing.
The constitution of visual perceptual units in the functional architecture of V1
Scope of this paper is to consider a mean field neural model which takes into account the functional neurogeometry of the visual cortex modelled as a group of rotations and translations.
