92 citations · 180 across the 19 of their papers we have counts for
24 papers
FineMorphs: Affine-diffeomorphic sequences for regression
Michele Lohr, Laurent Younes
A multivariate regression model of affine and diffeomorphic transformation sequences - FineMorphs - is presented. Leveraging concepts from shape analysis, model states are optimall…
Image Varifolds on Meshes for Mapping Spatial Transcriptomics
Michael I Miller, Alain Trouvé, Laurent Younes
Advances in the development of largely automated microscopy methods such as MERFISH for imaging cellular structures in mouse brains are providing spatial detection of micron resolu…
Shape spaces: From geometry to biological plausibility
Nicolas Charon, Laurent Younes
This paper reviews several Riemannian metrics and evolution equations in the context of diffeomorphic shape analysis. After a short review of of various approaches at building Riem…
A generative neural network model for random dot product graphs
Vittorio Loprinzo, Laurent Younes
We present GraphMoE, a novel neural network-based approach to learning generative models for random graphs. The neural network is trained to match the distribution of a class of ra…
Diffeomorphic shape evolution coupled with a reaction-diffusion PDE on a growth potential
Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +1
This paper studies a longitudinal shape transformation model in which shapes are deformed in response to an internal growth potential that evolves according to an advection reactio…
Mechanistic Modeling of Longitudinal Shape Changes: equations of motion and inverse problems
Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +1
This paper examines a longitudinal shape evolution model in which a 3D volume progresses through a family of elastic equilibria in response to the time-derivative of an internal fo…