Date Topics/Slides Reading Projects
Week 1
Tu 1/10 Introduction    
Th 1/12 Introduction to Shape Analysis    
Week 2
Tu 1/17 More about Manifolds, Kendall Shape Space
Riemannian Geometry Notes		 Kendall 1984 HW 1, Due Th 2/9
Th 1/19 Basic Calculus of Variations, Geodesic Equations SVD for Procrustes  
Week 3
Tu 1/24 Variational Methods for Images
Guest Lecturer -- Ross Whitaker		    
Th 1/26 Hamiltonian Dynamics
Guest Lecturer -- Hang Shao		    
Week 4
Tu 1/31 Basic Manifold Statistics: Frechet Means Pennec, 1999
Fletcher, 2004 (Section 4)		  
Th 2/2 Basic Manifold Statistics: PGA    
Week 5
Tu 2/7 Covariant derivatives, parallel translation   Gudmundsson notes (Ch 6)
Th 2/9 Introduction to Lie Groups   HW 1 Due
Week 6
Tu 2/14 Lie Groups, cont.    
Th 2/16 Image Registration: Diffeomorphisms    
Week 7
Tu 2/21 Image Registration: Geodesic Shooting Miller, Trouve, Younes (2006) HW 2, Due Th 3/9
Th 2/23 Geodesic Shooting, cont.    
Week 8
Tu 2/28 Image Registration: Gradient Descent Methods Beg et al. (2005)  
Th 3/2 Diffeomorphic Shape Matching    
Week 9
Tu 3/7 Jacobi Fields    
Th 3/9 Jacobi Fields, cont.   HW 2 Due
Week 10
Tu 3/14 Spring Break - No Class    
Th 3/16 Spring Break - No Class    
Week 11
Tu 3/21 Diffeomorphic Landmark Matching   HW 3, Due Tu 4/4
Th 3/23 Landmark matching, cont.    
Week 12
Tu 3/28 Deformable Models: Active Shape Models Cootes et al., 1995  
Th 3/30 Deformable Models: Geodesic Active Contours Caselles et al., 1997  
Week 13
Tu 4/4 Markov Random Fields Perez, 1998 HW 3 Due
Th 4/6 MRFs, cont.    
Week 14
Tu 4/11 Mutual Information Pluim et al., 2003  
Th 4/13 Restricted Boltzmann Machines
RBM Tutorial		    
Week 15
Tu 4/18 Generative Adversarial Networks
Generating Faces w/ Torch		   Goodfellow, et al. 2014
Th 4/20 Final Project Presentations:
Aniketh, Alex, Riddish, Di, Jake		    
Week 16
Tu 4/25 Final Project Presentations:
Alessandro, Atefeh, Sourabh, Apoorva, Kyle		    
Classes End
Final Projects Due Wednesday, May 3