This minisymposium will focus on the fundamental and applied aspects of shape analysis. Shape analysis remains one of the key problems to many recent applications ranging from automatic object recognition in computer vision to the field of biomedical imaging in which datasets typically involve multiple geometric structures with important morphological variability. Modern methods are at the intersection of several fields in mathematics that span finite and inifinite dimensional geometry, optimal control, optimal transport and statistical data analysis. The objective of the mininisymposium is to bring together researchers covering those multiple aspects to present most recent ideas in the field, discuss new directions of interest for the community and foster future collaborations across different groups.

A relaxed approach for curve matching with elastic metrics

Nicolas Charon (Johns Hopkins University)

Constant and linear kernels on normal cycles for shape analysis

Pierre Roussillon (Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure Paris-Saclay)

Bridge Simulation and Metric Estimation on Lie Groups and Orbit Spaces

Sarang Joshi (Scientific Computing and Imaging (SCI) Institute, the University of Utah)

Development of the cortical surface via landmarks: labeling and trajectories of sulcal pits.

Irène Kaltenmark (Neurosciences Institut of La Timone (INT), Aix-Marseille University)

Estimating and using deformation constraints

Barbara Gris (Laboratoire Jacques-Louis Lions)

Normalized Hamiltonians for measure transport

Jean Feydy (Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure Paris-Saclay)

Computation of crowded geodesics on the universal Teichmüller space

Sergey Kushnarev (Singapore University of Technology and Design)

TEMPO: Feature-endowed Teichmüller extremal mappings of point clouds for geometry processing and shape classification

Ronald Lui (Chinese University of Hong Kong)

Organizers:

Joan Alexis Glaunès (MAP5, Université Paris Descartes)

Sergey Kushnarev (Singapore University of Technology and Design)

Mario Micheli (Harvey Mudd College)

Keywords:

computational anatomy, image registration, shape analysis, shape space