49 citations · 100 across the 9 of their papers we have counts for
9 papers
Sub-Riemannian Fast Marching in SE(2)
Gonzalo Sanguinetti, Erik Bekkers, Remco Duits +3
We propose a Fast Marching based implementation for computing sub-Riemanninan (SR) geodesics in the roto-translation group SE(2), with a metric depending on a cost induced by the i…
Improving Fiber Alignment in HARDI by Combining Contextual PDE Flow with Constrained Spherical Deconvolution
J. M. Portegies, R. H. J. Fick, G. R. Sanguinetti +3
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 the sa…
New Approximation of a Scale Space Kernel on SE(3) and Applications in Neuroimaging
J. M. Portegies, G. R. Sanguinetti, S. P. L Meesters +1
We provide a new, analytic kernel for scale space filtering of dMRI data. The kernel is an approximation for the Green's function of a hypo-elliptic diffusion on the 3D rigid body…
A PDE Approach to Data-driven Sub-Riemannian Geodesics in SE(2)
Erik J. Bekkers, Remco Duits, Alexey Mashtakov +1
We present a new flexible wavefront propagation algorithm for the boundary value problem for sub-Riemannian (SR) geodesics in the roto-translation group $SE(2) = \mathbb{R}^2 \rtim…
Sub-Riemannian mean curvature flow for image processing
Giovanna Citti, Benedetta Franceschiello, Gonzalo Sanguinetti +1
In this paper we reconsider the sub-Riemannian cortical model of image completion introduced by Sarti and Citti in 2003. This model combines two mechanisms, the sub-Riemannian diff…
Locally Adaptive Frames in the Roto-Translation Group and their Applications in Medical Imaging
R. Duits, M. H. J. Janssen, J. Hannink +1
Locally adaptive differential frames (gauge frames) are a well-known effective tool in image analysis, used in differential invariants and PDE-flows. However, at complex structures…
Numerical Approaches for Linear Left-invariant Diffusions on SE(2), their Comparison to Exact Solutions, and their Applications in Retinal Imaging
Jiong Zhang, Remco Duits, Gonzalo Sanguinetti +1
Left-invariant PDE-evolutions on the roto-translation group (and their resolvent equations) have been widely studied in the fields of cortical modeling and image analysis.…
Coherent states of the Euclidean group and activation regions of primary visual cortex
Davide Barbieri, Giovanna Citti, Gonzalo Sanguinetti +1
The uncertainty principle of SE(2) allows to construct a coherent states transform that is strictly related to the Bargmann transform for the second Heisenberg group H2. The corres…
An uncertainty principle underlying the pinwheel structure in the primary visual cortex
Davide Barbieri, Giovanna Citti, Gonzalo Sanguinetti +1
The visual information in V1 is processed by an array of modules called orientation preference columns. In some species including humans, orientation columns are radially arranged…