3 papers
math.AP2021
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…
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.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…