MFCA is a satellite workshop of MICCAI devoted to statistical and geometrical methods for modeling the variability of biological shapes. 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.

Following the

• First MFCA workshop, held in Copenhagen (Denmark) in October 2006,
• Second MFCA workshop, held in New-York (USA) in September 2008,
• Third MFCA workshop, held in Toronto on September 22, 2011,

the fourth MFCA workshop will be held in Nagoya, Japan, on September 22, in conjunction with MICCAI 2013.

Proceedings

Proceedings are available here. The proceedings of the workshop will be available as a collection of open archive papers, along with the proceedings of the previous editions.
Selected publications will be invited for a special issue of SIAM Journal on Imaging Sciences (SIIMS).

Rationale

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 currents, 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.

Workshop format and topics

The program will be composed of oral presentations selected by the peer-reviewed contributions of the participants. To foster interactions, a large amount of time will be reserved for discussions after each presentation. Contributions are solicited in (but not limited to) the areas of:

• Riemannian and group theoretical methods
• Geometrical measurements of the anatomy
• Advanced statistics on deformations and shapes
• Metrics for computational anatomy
• Statistics of surfaces
• Time-evolving geometric processes
• Statistics on stratified spaces

Key Dates

• Paper Submission: extended to June 9^th, 2013 (11:59 PM Pacific time)
• Notification of Acceptance: July 2^nd, 2013
• Camera Ready Paper Submission: July 22^th, 2013
• Workshop: September 22^nd, 2013.

Program

8:30 - 10:00 - Oral Session 1: Session 1: LDDMM and scale

• 8:30 - 8:40: Welcome announcements. Workshop chairs.
• 8:40 - 9:20: Riemannian metrics for statistics on shapes: Parallel transport and scale invariance. Marc Niethammer and Francois-Xavier Vialard.
• 9:20 - 10:00: Symmetries in LDDMM with higher-order momentum distributions. Henry O. Jacobs.

10:00 - 10:30 - Coffe break

10:30 - 12:30 - Oral Session 2: Brain Morphometry

• 10:30 - 11:10: Combining Thickness Information with Surface Tensor-based Morphometry for the 3D Statistical Analysis of the Corpus Callosum. Liang Xu, Olivier Collignon, Gang Wang, Yue Kang, Franco Leporée, Jie Shi, Yi Lao, Anand Joshi, Natasha Leporée, and Yalin Wang.
• 11:10 - 11:50: A right-invariant Riemannian distance on GL+(n) and hypothesis testing on Jacobian matrices. Ernesto Zacur, Matias Bossa, and Salvador Olmos.
• 11:50 - 12:30: Stratified Voxel-Based Morphometry (sVBM). M. Jorge Cardoso, Ivor Simpson, and Sebastien Ourselin.

12:30 - 13:30: Lunch

13:30 - 15:00: Session 3: Shape and Image Registration

• 13:30 - 14:10: Surface Shape Matching and Analysis using Intrinsic Coordinate Parameterizations. Shantanu H. Joshi, Jie Shi, Yalin Wang, Katherine L. Narr, Arthur W. Toga, and Roger P. Woods.
• 14:10 - 14:50: A Relaxed Problem of Registration Based on the Saint Venant- Kirchhoff Material Stored Energy for the Mapping of Mouse Brain Gene Expression Data to a Neuroanatomical Mouse Atlas. Ratiba Derfoul and Carole Le Guyader.

15:00 - 15:30 - Coffe break

15:30 - 17:20 - Session 4: Short Orals

• 15:30 - 15:55: Computing Diffeomorphic Paths with Applications to Cardiac Motion Analysis. Dohyung Seo, Jeffrey Ho, Jay H. Traverse, John Forder, and Baba C. Vemuri.
• 15:55 - 16:20: The Shape Collapse Problem in Image Registration. Oguz C. Durumeric, Ipek Oguz, and Gary E. Christensen.
• 16:20 - 16:45: Sparse Gaussian graphical model of spatial distribution of anatomical landmarks whole torso model building with training datasets of partial imaging ranges. Shouhei Hanaoka, Yoshitaka Masutani, Mitsutaka Nemoto, Yukihiro Nomura, Soichiro Miki, Takeharu Yoshikawa, Naoto Hayashi, and Kuni Ohtomo.
• 16:45 - 17:10: Cortical Shape Analysis using the Anisotropic Global Point Signature. Anand A Joshi, Syed Ashrafulla, David W Shattuck, Hanna Damasio, and Richard M Leahy.
• 17:10 - 17:20: Concluding remarks. Workshop chairs.

Organizers

• Xavier Pennec (INRIA Sophia-Antipolis, FR)
• Sarang Joshi (SCI, University of Utah, USA)
• Mads Nielsen (University of Copenhagen, DK)
• Tom Fletcher (SCI, University of Utah, USA)
• Stanley Durrleman (Inria / Brain and Spine Institute ICM, Paris, FR)
• Stefan Sommer (University of Copenhagen, DK)

Program Committee

• Aasa Feragen (U. of Copenhagen, DK)
• Stéphanie Allassoniere (Ecole Polytechnique, FR)
• Rachid Deriche (INRIA, FR)
• Ian Dryden(U. of Nottingham, UK)
• Luc Florac(Eindhoven U. of Technology, NL)
• Ghassan Hamarneh (Simon Fraser U., CA)
• Darryl Holm (Imperial College London, UK)
• Susan Holmes (Stanford U., USA)
• Steve Marron (UNC Chapel Hill, USA)
• Stephen Marsland (Massey University, NZ)
• Yoshitaka Masutani (U. of Tokyo Hosp, JP)
• Marc Niethammer (UNC Chapel Hill, USA)
• Salvador Olmos (U. of Saragossa, SP)
• Bruno Pelletier (U. Rennes, FR)
• Jerry Prince (Johns Hopkins U., USA)
• Daniel Rueckert (Imperial Coll. London, UK)
• Kaleem Siddiqi (McGill U., CA)
• Anuj Srivastava (Florida State U., USA)
• Martin Styner (UNC Chapel Hill, USA)
• Alain Trouvé (ENS Cachan, FR)
• Carole Twining (U. of Manchester, UK)
• Baba Vemuri (U. of Florida, USA)
• Francois Xavier Vialard (Dauphine U., FR)
• William M. Wells III (MIT & Harvard, USA)