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Accueil > Formations > Master MVA > Présentation des cours
Deformable models and geodesic methods for image analysis
Lecturer : Laurent COHEN and Gabriel PEYRE, (CNRS et Université Paris-Dauphine PSL
Objective of the course :
A large overview of methods and algorithms of deformable models for image segmentation, illustrated by concrete applications
Topics :
- Variational Methods and Partial Differential Equations
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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
Prerequisites :
Organization of courses :
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About half on deformable models and half on geodesic methods.
9 sessions of 3 hours, including 3 with 2 hours lab
Validation :
References :
- 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