Time-causal and time-recursive spatio-temporal receptive fields
T Lindeberg - Journal of Mathematical Imaging and Vision, 2016 - Springer
We present an improved model and theory for time-causal and time-recursive spatio-
temporal receptive fields, obtained by a combination of Gaussian receptive fields over the …
temporal receptive fields, obtained by a combination of Gaussian receptive fields over the …
A cortical-inspired geometry for contour perception and motion integration
In this paper we develop a geometrical model of functional architecture for the processing of
spatio-temporal visual stimuli. The model arises from the properties of the receptive field …
spatio-temporal visual stimuli. The model arises from the properties of the receptive field …
A sub-Riemannian model of the visual cortex with frequency and phase
In this paper, we present a novel model of the primary visual cortex (V1) based on
orientation, frequency, and phase selective behavior of V1 simple cells. We start from the …
orientation, frequency, and phase selective behavior of V1 simple cells. We start from the …
Geometric adaptations of PDE-G-CNNs
Group equivariant convolutional neural networks (G-CNNs) have been successfully applied
in geometric deep learning. The recently introduced framework of PDE-based G-CNNs (PDE …
in geometric deep learning. The recently introduced framework of PDE-based G-CNNs (PDE …
From receptive profiles to a metric model of V1
In this work we show how to construct connectivity kernels induced by the receptive profiles
of simple cells of the primary visual cortex (V1). These kernels are directly defined by the …
of simple cells of the primary visual cortex (V1). These kernels are directly defined by the …
Cortical spatiotemporal dimensionality reduction for visual grou**
The visual systems of many mammals, including humans, are able to integrate the geometric
information of visual stimuli and perform cognitive tasks at the first stages of the cortical …
information of visual stimuli and perform cognitive tasks at the first stages of the cortical …
Reconstructing group wavelet transform from feature maps with a reproducing kernel iteration
D Barbieri - Frontiers in Computational Neuroscience, 2022 - frontiersin.org
In this article, we consider the problem of reconstructing an image that is downsampled in
the space of its SE (2) wavelet transform, which is motivated by classical models of simple …
the space of its SE (2) wavelet transform, which is motivated by classical models of simple …
Orientation maps in V1 and non-Euclidean geometry
A Afgoustidis - The journal of mathematical neuroscience (jmn), 2015 - Springer
In the primary visual cortex, the processing of information uses the distribution of orientations
in the visual input: neurons react to some orientations in the stimulus more than to others. In …
in the visual input: neurons react to some orientations in the stimulus more than to others. In …
On Objectivity and Meaning in Mathematics
B Teissier - Morphology, Neurogeometry, Semiotics: A Festschrift in …, 2024 - Springer
In a first part, I shall explore the consequences of distinguishing the foundations of meaning
and the foundations of truth in mathematical statements, or imagination and rigor as motors …
and the foundations of truth in mathematical statements, or imagination and rigor as motors …
Cortical Functional architectures as contact and sub-Riemannian geometry
In the paper (Sarti et al. in Biol Cyb 98: 33–48, 2008), Jean Petitot together with the authors
of the present paper describe the functional geometry of the visual cortex as the …
of the present paper describe the functional geometry of the visual cortex as the …