The Computational Anatomy project is the morphome-scale study of shape and form, which
we model as an orbit under diffeomorphic group action. Metric comparison calculates the …

Implicit representations can provide simple descriptions of relatively complex shapes and
can in many cases be a good choice when designing stable shape processing algorithms …

We propose a generic method for the statistical analysis of collections of anatomical shape
complexes, namely sets of surfaces that were previously segmented and labeled in a group …

This work investigates the use of robust optimal transport (OT) for shape matching.
Specifically, we show that recent OT solvers improve both optimization-based and deep …

We consider kernel methods on general geodesic metric spaces and provide both negative
and positive results. First we show that the common Gaussian kernel can only be …

Deformetrica is an open-source software for the statistical analysis of images and meshes. It
relies on a specific instance of the large deformation diffeomorphic metric mapping …

This paper introduces a set of numerical methods for Riemannian shape analysis of 3D
surfaces within the setting of invariant (elastic) second-order Sobolev metrics. More …

This paper introduces the use of unbalanced optimal transport methods as a similarity
measure for diffeomorphic matching of imaging data. The similarity measure is a key object …

Although in flies the atypical cadherin Fat is an upstream regulator of Hippo signalling, the
closest mammalian homologue, Fat4, has been shown to regulate tissue polarity rather than …

In deformable registration, the Riemannian framework–Large Deformation Diffeomorphic
Metric Mapping, or LDDMM for short–has inspired numerous techniques for comparing …