Association fields via cuspless sub-Riemannian geodesics in SE (2)

R Duits, U Boscain, F Rossi, Y Sachkov - Journal of mathematical imaging …, 2014 - Springer
To model association fields that underly perceptional organization (gestalt) in psychophysics
we consider the problem P curve of minimizing ∫_0^ℓξ^2+κ^2(s)\rmds for a planar curve …

Improving fiber alignment in HARDI by combining contextual PDE flow with constrained spherical deconvolution

JM Portegies, RHJ Fick, GR Sanguinetti, SPL Meesters… - PloS one, 2015 - journals.plos.org
We propose two strategies to improve the quality of tractography results computed from
diffusion weighted magnetic resonance imaging (DW-MRI) data. Both methods are based on …

Curvature integration in a 5D kernel for extracting vessel connections in retinal images

S Abbasi-Sureshjani, M Favali, G Citti… - … on Image Processing, 2017 - ieeexplore.ieee.org
Tree-like structures, such as retinal images, are widely studied in computer-aided diagnosis
systems for largescale screening programs. Despite several segmentation and tracking …

The constitution of visual perceptual units in the functional architecture of V1

A Sarti, G Citti - Journal of computational neuroscience, 2015 - Springer
In this paper we show that the emergence of perceptual units in V1 can be explained in
terms of a physical mechanism of simmetry breaking of the mean field neural equation. We …

[HTML][HTML] A Cortical-Inspired Contour Completion Model Based on Contour Orientation and Thickness

I Galyaev, A Mashtakov - Journal of Imaging, 2024 - mdpi.com
An extended four-dimensional version of the traditional Petitot–Citti–Sarti model on contour
completion in the visual cortex is examined. The neural configuration space is considered as …

A cortical-inspired geometry for contour perception and motion integration

D Barbieri, G Citti, G Cocci, A Sarti - Journal of mathematical imaging and …, 2014 - Springer
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 …

Curvature based biomarkers for diabetic retinopathy via exponential curve fits in SE (2)

EJ Bekkers, J Zhang, R Duits… - Proceedings of the …, 2015 - research.tue.nl
We propose a robust and fully automatic method for the analysis of vessel tortuosity. Our
method does not rely on pre-segmentation of vessels, but instead acts directly on retinal …

Analysis of vessel connectivities in retinal images by cortically inspired spectral clustering

M Favali, S Abbasi-Sureshjani… - Journal of Mathematical …, 2016 - Springer
Retinal images provide early signs of diabetic retinopathy, glaucoma, and hypertension.
These signs can be investigated based on microaneurysms or smaller vessels. The …

A geometric model of multi-scale orientation preference maps via Gabor functions

E Baspinar, G Citti, A Sarti - Journal of Mathematical Imaging and Vision, 2018 - Springer
In this paper we present a new model for the generation of orientation preference maps in
the primary visual cortex (V1), considering both orientation and scale features. First we …

A sub-Riemannian model of the visual cortex with frequency and phase

E Baspinar, A Sarti, G Citti - The Journal of Mathematical Neuroscience, 2020 - Springer
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 …