10 citations · 18 across the 11 of their papers we have counts for
14 papers
Toward Mesh-Invariant 3D Generative Deep Learning with Geometric Measures
Thomas Besnier, Sylvain Arguillère, Emery Pierson +1
3D generative modeling is accelerating as the technology allowing the capture of geometric data is developing. However, the acquired data is often inconsistent, resulting in unregi…
3D Shape Sequence of Human Comparison and Classification using Current and Varifolds
Emery Pierson, Mohamed Daoudi, Sylvain Arguillere
In this paper we address the task of the comparison and the classification of 3D shape sequences of human. The non-linear dynamics of the human motion and the changing of the surfa…
ResNet-LDDMM: Advancing the LDDMM Framework using Deep Residual Networks
Boulbaba Ben Amor, Sylvain Arguillère, Ling Shao
In deformable registration, the geometric framework - large deformation diffeomorphic metric mapping or LDDMM, in short - has inspired numerous techniques for comparing, deforming,…
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…
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…
3D Normal Coordinate Systems for Cortical Areas
J. Tilak Ratnanather, Sylvain Arguillère, Kwame S. Kutten +3
A surface-based diffeomorphic algorithm to generate 3D coordinate grids in the cortical ribbon is described. In the grid, normal coordinate lines are generated by the diffeomorphic…
Sub-Riemannian Geometry and Geodesics in Banach Manifolds
Sylvain Arguillere
In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions…
The general setting for Shape Analysis
Sylvain Arguillère
In shape analysis, the concept of shape spaces has always been vague, requiring a case-by-case approach for every new type of shape. In this paper, we give a general definition for…
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…
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…
Sub-Riemannian structures on groups of diffeomorphisms
Sylvain Arguillere, Emmanuel Trélat
In this paper, we define and study strong right-invariant sub-Riemannian structures on the group of diffeomorphisms of a manifold with bounded geometry. We derive the Hamiltonian g…
Shape deformation analysis from the optimal control viewpoint
Sylvain Arguillere, Emmanuel Trélat, Alain Trouvé +1
A crucial problem in shape deformation analysis is to determine a deformation of a given shape into another one, which is optimal for a certain cost. It has a number of application…
Approximation of sequences of symmetric matrices with the symmetric rank-one algorithm and applications
Sylvain Arguillere
The symmetric rank-one update method is well-known in optimization for its applications in the quasi-Newton algorithm. In particular, Conn, Gould, and Toint proved in 1991 that the…