MFCA-2008
 2nd  MICCAI Workshop on
Mathematical Foundations
of Computational Anatomy


Miccai 2008

MFCA-2008 is a satellite workshop of MICCAI 2008 which is devoted to statistical and geometrical aspects of the modeling of the variability of biological shapes. It will be held in New-York on September 6, in conjunction with MICCAI 2008. The goal is to foster the interactions between the mathematical community around shapes and the MICCAI community around computational anatomy applications. The workshop aims at being a forum for the exchange of the theoretical ideas and a source of inspiration for new methodological developments in computational anatomy.

Scope of the workshop

The goal of computational anatomy is to analyze and to statistically model the anatomy of organs in different subjects. Computational anatomic methods are generally based on the extraction of anatomical features or manifolds which are then statistically analyzed, often through a non-linear registration. There are nowadays a growing number of methods that can faithfully deal with the underlying biomechanical behavior of intra-subject deformations. However, it is more difficult to relate the anatomies of different subjects. In the absence of any justified physical model, diffeomorphisms provide the most general mathematical framework that enforce topological consistency. However, working with this infinite dimensional space raises some deep computational and mathematical problems, in particular for doing statistics. Likewise, modeling the variability of surfaces leads to rely on shape spaces that are much more complex than for curves. To cope with these, different methodological and computational frameworks have been proposed (e.g. smooth left-invariant metrics, focus on well-behaved subspaces of diffeomorphisms, modeling surfaces using courants, etc.) The goal of the workshop is to foster interactions between researchers investigating the combination of geometry and statistics in non-linear image and surface registration in the context of computational anatomy from different points of view. A special emphasis will be put on theoretical developments, applications and results being welcomed as illustrations.

Topics

Contributions were solicited in (but not limited to) the following areas:

·         Riemannian and group theoretical methods

·         Geometric measurements of the anatomy

·         Advanced statistics on deformations and shapes

·         Metrics for computational anatomy

·         Statistics of surfaces

The program is composed of oral presentations selected by the peer-reviewed contributions of the participants.

Final program and Proceedings

Electronic proceedings are now available on the web-site of the workshop at: http://www.inria.fr/sophia/asclepios/events/MFCA08/Proceedings/MFCA08_Proceedings.pdf

Best papers will be selected for publication in a special issue of Journal of Mathematical Imaging and vision.

08:45 - 09:00 Registration

09:00 - 09:10 Workshop Introduction

09:10 - 10:25 Session 1: Registration

09:10

Unbiased Volumetric Registration via Nonlinear Elastic Regularization. Igor Yanovsky, Carole Le Guyader, Alex Leow, Arthur Toga, Paul Thompson, Luminita Vese.

09:35

A new algorithm for the computation of the group logarithm of diffeomorphisms.
Matias Bossa and Salvador Olmos.

10:00

Comparing algorithms for diffeomorphic registration: Stationary LDDMM and Diffeomorphic Demons. Monica Hernandez, Salvador Olmos and Xavier Pennec.

10:25 - 10:45 Coffe break

10:45 - 12:00 Session 2: Morphometry

10:45

Brain Mapping with the Ricci Flow Conformal Parameterization and Multivariate Statistics on Deformation Tensors. Yalin Wang, Xiaotian Yin, Jie Zhang, Xianfeng Gu, Tony F. Chan, Paul M. Thompson, Shing-Tung Yau.

11:10

Multi-Atlas Tensor-Based Morphometry and its Application to a Genetic Study of 92 Twins. Natasha Leporé, Caroline Brun, Yi-Yu Chou, Agatha D. Lee, Marina Barysheva, Greig I. de Zubicaray, Matthew Meredith, Katie L. McMahon, Margaret J. Wright, Arthur W. Toga, and Paul M. Thompson.

11:35

Shape Registration with Spherical Cross Correlation. Boris Gutman, Yalin Wang, Tony F. Chan, Paul M. Thompson, Arthur W. Toga.

12:00 - 13:10 Lunch (on your own - not provided by the conference)

13:10 - 14:25 Session 3 : Building Atlases

13:10

A Forward Model to Build Unbiased Atlases from Curves and Surfaces. Stanley Durrleman, Xavier Pennec, Nicholas Ayache, Alain Trouvé.

13:35

MAP Estimation of Statistical Deformable Template Via Nonlinear Mixed Effect Models: Deterministic and Stochastic Approaches. Stéphanie Allassonnière, Estelle Kuhn and Alain Trouvé.

14:00

Semiparametric estimation of rigid transformations on compact Lie groups. Jérémie Bigot, Jean-Michel Loubes and Myriam Vimond.

14:25 - 14:35 Short break (no coffee)

14:35 - 15:50 Session 4: Surfaces and Shapes spaces

14:35

Geodesic Shape Spaces of Surfaces of Genus Zero. Xiuwen Liu, Washington Mio, Yonggang Shi, Ivo Dinov.

15:00

Characterization of Anatomical Shape Based on Random Walk Hitting Times. Grace Vesom, Nathan D. Cahill, Lena Gorelick, and J. Alison Noble.

15:25

Tiling Manifolds with Orthonormal Basis. Moo K. Chung, Anqi Qiu, Brendon M. Nacewicz, Seth Pollak, Richard J. Davidson.

15:50 - 16:10 Coffee break

16:10 - 17:50 Session 5 : Statistics on Manifolds and Shapes

16:10

Diffusion Tensor Imaging and Deconvolution on Spaces of Positive Definite Symmetric Matrices. Peter T. Kim, Donald St. P. Richards.

16:35

Tubular Surface Evolution for Segmentation of Tubular Structures with Applications to the Cingulum Bundle From DW-MRI. Vandana Mohan, Ganesh Sundaramoorthi, John Melonakos, Marc Niethammer, Marek Kubicki, Allen Tannnenbaum.

17:00

Modeling the Remaining Flexibility of Partially Fixed Statistical Shape Models. Thomas Albrecht, Reinhard Knothe, and Thomas Vetter.

17:25

A Hypothesis Testing Framework for High-Dimensional Shape Models. Joshua Cates, P Thomas Fletcher, Ross Whitaker.

17:50 - 18:00 Workshop conclusion

Chairs

·         Xavier Pennec (INRIA Sophia-Antipolis, France)

·         Sarang Joshi (SCI, University of Utah, USA)

Program committee

·         Rachid Deriche (INRIA, France)

·         Ian L. Dryden (University of Nottingham, UK)

·         Tom Fletcher (University of Utah, USA)

·         James Gee (Univ. of Pennsylvania, USA)

·         Guido Gerig (University of Utah, USA)

·         Polina Golland (CSAIL, MIT, USA)

·         Stephen Marsland (Massey University, New-Zeeland)

·         Michael I. Miller (John Hopkins University, USA)

·         Mads Nielsen (IT University of Copenhagen, Denmark)

·         Salvador Olmos (University of Saragossa, Spain)

·         Bruno Pelletier (University Montpellier, France)

·         Jerry Prince (Johns Hopkins University, USA)

·         Anand Rangarajan (University of Florida, USA)

·         Daniel Rueckert (Imperial College London, UK)

·         Guillermo Sapiro (University of Minnesota, USA)

·         Martin Styner (UNC Chapel Hill, USA)

·         Anuj Srivastava (Florida State University, USA)

·         Paul Thompson (University of California Los-Angeles, USA)

·         Alain Trouvé (ENS-Cachan, France)

·         Carole Twinning (University of Manchester, UK)

·         William M. Wells III (CSAIL, MIT, and B&W Hospital, Boston, USA)

 

Previous workshop edition (MFCA'06): http://www.inria.fr/sophia/asclepios/events/MFCA06/