Prè-requis
Admission to MVA sufficient
Objectif du cours
A large overview of methods and algorithms of deformable models for image segmentation, illustrated by concrete applications
Presentation : here
Organisation des séances
- About half on deformable models and half on geodesic methods.
- 9 sessions of 3 hours, including 3 with 2 hours lab
Mode de validation
Project
Références
– Finite element methods for active contour models and balloons for 2D and 3D images. Laurent D. Cohen and Isaac Cohen. IEEE Trans. on PAMI-15(11), November 1993.
– Minimal Paths and Fast Marching Methods for Image Analysis. , Laurent D. Cohen, In Mathematical Models in Computer Vision: The Handbook, Springer 2005.
– Geodesic Methods in Computer Vision and Graphics, Gabriel Peyré, Mickaël Péchaud, Renaud Keriven and Laurent D. Cohen, Foundations and Trends in Computer Graphics and Vision 5, 3-4 (2010) 197-397 (book of 200 pages).
– Tubular Structure Segmentation Based on Minimal Path Method and Anisotropic Enhancement. F. Benmansour and L. D. Cohen, In IJCV, April 2011, Volume 92, Number 2, Pages 192-210
Thèmes abordés
- Variational Methods and Partial Differential Equations
- Numerical Methods, Algorithmics, and Industrial applications
- Curve and Surface Segmentation by Elastic Deformable Models, Active Contours, Deformable Surfaces, Balloon Model
- Finite Differences, finite elements, level sets, front competition
- Active Region, Shape Prior
- Minimal Paths and Geodesics
- Eikonal Equation, front propagation and Fast Marching
- Various metrics: 2D, 3D, surface, anisotropic, space+radius
- Geodesic remeshing of domains and surfaces
- Applications: surface segmentation, vessel segmentation, virtual endoscopy, extraction of tubular and tree structure…
- Testing and implementation of algorithms in Matlab
Laurent COHEN
CNRS et Université Paris-Dauphine PSL
Gabriel PEYRE
CNRS et Université Paris-Dauphine PSL