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20042023
most citedSoliton Dynamics in Computational Anatomy

92 citations · 180 across the 19 of their papers we have counts for

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7 papers · 1 filter

math.OC2020

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…

math.OC2019★ 1 cited

Normal and Equivolumetric Coordinate Systems for Cortical Areas

Laurent Younes, Kwame S. Kutten, J. Tilak Ratnanather

We describe coordinate systems adapted for the space between two surfaces, such as those delineating the highly folded cortex in mammalian brains. These systems are estimated in or…

math.OC2018

A Model for Elastic Evolution on Foliated Shapes

Dai-Ni Hsieh, Sylvain Arguillère, Nicolas Charon +2

We study a shape evolution framework in which the deformation of shapes from time t to t + dt is governed by a regularized anisotropic elasticity model. More precisely, we assume t…

math.OC2015★ 1 cited

LDDMM Surface Registration with Atrophy Constraints

Sylvain Arguillère, Michael Miller, Laurent Younes

Diffeomorphic registration using optimal control on the diffeomorphism group and on shape spaces has become widely used since the development of the Large Deformation Diffeomorphic…

math.OC2015★ 3 cited

Multiple Shape Registration using Constrained Optimal Control

Sylvain Arguillère, Emmanuel Trélat, Alain Trouvé +1

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and…

math.OC2014

Metamorphosis of Images in Reproducing Kernel Hilbert Spaces

Casey L Richardson, Laurent Younes

Metamorphosis is a method for diffeomorphic matching of shapes, with many potential applications for anatomical shape comparison in medical imagery, a problem which is central to t…