Nodeo: A neural ordinary differential equation based optimization framework for deformable image registration

Y Wu, TZ Jiahao, J Wang… - Proceedings of the …, 2022 - openaccess.thecvf.com
Deformable image registration (DIR), aiming to find spatial correspondence between
images, is one of the most critical problems in the domain of medical image analysis. In this …

ResNet-LDDMM: advancing the LDDMM framework using deep residual networks

BB Amor, S Arguillère, L Shao - IEEE Transactions on Pattern …, 2022 - ieeexplore.ieee.org
In deformable registration, the Riemannian framework–Large Deformation Diffeomorphic
Metric Mapping, or LDDMM for short–has inspired numerous techniques for comparing …

An operator-splitting approach for variational optimal control formulations for diffeomorphic shape matching

A Mang, J He, R Azencott - Journal of Computational Physics, 2023 - Elsevier
We present formulations and numerical algorithms for solving diffeomorphic shape matching
problems. We formulate shape matching as a variational problem governed by a dynamical …

Classification of Deformable Smooth Shapes Through Geodesic Flows of Diffeomorphisms

H Dabirian, R Sultamuratov, J Herring… - Journal of Mathematical …, 2024 - Springer
Let D be a dataset of smooth 3D surfaces, partitioned into disjoint classes CL j, j= 1,…, k. We
show how optimized diffeomorphic registration applied to large numbers of pairs (S, S′), S …

[PDF][PDF] Geodesics, Splines, and Embeddings in Spaces of Images

M Rajkovic - 2023 - researchgate.net
The main contribution of this thesis concerns two larger mathematical topics. As a first topic,
we study the geodesic and spline interpolation of images in the framework of the …

[PDF][PDF] Large deformation diffeomorphic metric mappings: Theory, numerics, and applications

T Polzin - 2018 - mic.uni-luebeck.de
In this thesis three diffeomorphic image registration methods are proposed. A Discretize-
then-Optimize approach is used to derive these methods from optimal control formulations in …

CLAIRE: Scalable GPU-Accelerated Algorithms for Diffeomorphic Image Registration in 3D

A Mang - Explorations in the Mathematics of Data Science: The …, 2024 - Springer
We present our work on scalable, GPU-accelerated algorithms for diffeomorphic image
registration. The associated software package is termed CLAIRE. Image registration is a …