Geometry, PDE’s and Lie Groups in Image Analysis

International Workshop on Geometry, PDE’s and Lie Groups in Image Analysis

Organizers

Remco Duits, Andrea Fuster, Yuri Sachkov & Erik Bekkers.

Location and Date

TU/e, Eindhoven, The Netherlands
24-26 August 2016

Abstracts

are available in html here

are available in pdf here

Final Program

is available in pdf here

Presentations

most of the presentations are available;

talks Session A here

talks Session B here

talks Session C here

Session A

24th August 2016

Geometry and Control in Vision

Chair: Yuri Sachkov

30 minutes per talk, 10 minutes questions.

A. 9:15h – 9:30h Opening words Remco Duits (CASA TU/e, Eindhoven) and Yuri Sachkov (CPRC, Program Systems Institute of RAS, Moscow)


A1: 09:30h – 10:10h Ugo Boscain (Ecole Polytechnique CMAP, Paris)   Geodesics, Laplacians and random walks in sub-Riemannian geometries

A2: 10:10h – 10:50h Davide Barbieri (Dep. de Matemáticas, Universidad Autónoma de Madrid)   Spatio-temporal geometry of motion perception in primary visual cortex

Mini-Break 10:50h-11:10h.

A3: 11:10h – 11:50h Alexey Mashtakov (Control Processes Research Center, Program Systems Institute of RAS, Moscow)   Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)

A4: 11:50h – 12:30h Xiaoping Yang (Dep. of Mathematics, Nanjing University China)   Some New Variational Methods for Medical Image Segmentation

Lunch

A5: 14:00h - 14:40h Xavier Pennec (INRIA Sophia-Antipolis, France)   Barycentric Subspace Analysis: an extension of PCA to Manifolds

A6: 14:40h - 15:20h Dmitri Alexeevsky (Institute for Information Transmission Problems RAS, Moscow)   The problem of stability in early vision, conformal geometry and spherical model of hypercolumns by Bressloff-Cowan

A7: 15:20h - 16:00h Jorg Portegies (CASA, TU/e Eindhoven)   Exact Solutions and Analysis of the 3D direction Process & (Hypo-)elliptic Diffusion on SE(3)

Coffee and informal discussions 16:00h - 16:30h




Session B

25th August 2016

Lie Group Analysis and PDE’s in Image Analysis

Chairs: Remco Duits & Erik Bekkers

30 minutes per talk, 10 minutes questions.

B1: 09:30h - 10:10h Joachim Weickert (Mathematical Image Analysis Group, Saarland University)   Connecting Linear Systems and Morphology

B2: 10:10h - 10:50h Steven Zucker (Computer Science and Biomedical Engineering, Yale University)   Seeking invariants in the image to surface (inverse) map. (joint work with Ben Kunsberg , Brown University)

Mini-Break 10:50h-11:10h.

B3: 11:10h - 11:50h Giovanna Citti (Dep. of Mathematics, University of Bologna)   A cortically based system of PDEs in Lie groups for modal completion

B4: 11:50h - 12:30h Tony Lindeberg (Computational Brain Science Lab, KTH Stockholm) )   Time-causal and time-recursive spatio-temporal receptive fields for computer vision and computational modelling of biological vision

Lunch

B5: 14:00h - 14:40h Jean-Marie Mirebeau (Lab. de mathematiques d'Orsay, University Paris-Sud CNRS)   Computation of Curvature Penalized Shortest Paths via the Fast Marching Algorithm

B6: 14:40h - 15:20h Michael Felsberg (Institutionen for systemteknik, Linkoping University)   Lie-groups and diffusion equations on image feature representations motivated by computational neuroscience

B7: 15:20h - 16:00h Dario Prandi (CEREMADE, University Paris-Dauphine)   A variational formulation of the sub-Riemannian model of the primary visual cortex

Mini-Break 16:00h-16:20h.

B8: 16:20h - 17:00h Michiel Janssen (CASA, TU/e Eindhoven)   Image processing via invertible orientation scores of 3D images

B9: 17:00h - 17:40h Christophe Brune (Dep. of Applied Mathematics, University of Twente)   Multiscale Segmentation via Bregman Distances and Nonlinear Spectral Analysis




Session C

26th August 2016

Differential Geometry in Neuro-imaging

Chair: Andrea Fuster

30 minutes per talk, 10 minutes questions.

C1: 09:30h - 10:10h Kaleem Siddiqi (School of computer science, McGill University)   Non-holonomicity and parallel transport in the heart wall: what’s so special about generalized helicoids?

C2: 10:10h - 10:50h Maxime Descoteaux (Sherbrooke Connectivity Imaging Lab, University of Sherbrooke)   Bundle Analytics: Computation in the Space of Streamlines

Mini-Break 10:50h - 11:10h.

C3: 11:10h - 11:50h David Moreno (Mint Labs, Barcelona)   Whole-brain cortical parcellation: A hierarchical method based on dMRI tractography

C4: 11:50h - 12:30h Thomas Schultz (Visualization and Medical Image Analysis Group, University of Bonn)   PDEs for Quantitative Biomedical Image Analysis

C5: 12:30h - 13:10h Stephan Meesters (CASA TU/e & Epilepsy Institute Kempenhaeghe Heeze)   Implementation of Diffusions on SE(3) in DIPY and Applications in DW-MRI: Localization of the Optic Radiation for Epilepsy Surgery

Lunch

C6: 14:00h - 14:40h Marco Lorenzi (Translational Imaging Group, University College London)   Cartan connections on Lie groups with applications to neuroimaging (Alzheimer's Disease modeling)

C7: 14:40h - 15:20h Aasa Feragen (DIKU, Dep. of Computer Science, University of Copenhagen)   Tracts as distributions over trajectories: Tractography and Analysis

Mini-Break 15:20h – 15:40h

C8: 15:40h - 16:20h Alexander Leemans (ISI, University Medical Center Utrecht)   Practicalities and Challenges in diffusion MRI

C9: 16:20h - 17:00h Tom Dela Haije (CASA Eindhoven University of technology)   Geometry in diffusion MRI - modeling and analysis

C10: 17:00h-18:00h Closing Andrea Fuster (CASA, TU/e, Eindhoven) and drinks