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We propose regularization schemes for deformable registration and efficient algorithms for their numerical approximation. We treat image registration as a variational optimal control problem. The deformation map is parametrized by its…

Optimization and Control · Mathematics 2016-09-09 Andreas Mang , George Biros

We propose an efficient numerical algorithm for the solution of diffeomorphic image registration problems. We use a variational formulation constrained by a partial differential equation (PDE), where the constraints are a scalar transport…

Optimization and Control · Mathematics 2018-03-02 Andreas Mang , George Biros

We present an efficient solver for diffeomorphic image registration problems in the framework of Large Deformations Diffeomorphic Metric Mappings (LDDMM). We use an optimal control formulation, in which the velocity field of a hyperbolic…

Computer Vision and Pattern Recognition · Computer Science 2017-11-02 Andreas Mang , Lars Ruthotto

We present a parallel distributed-memory algorithm for large deformation diffeomorphic registration of volumetric images that produces large isochoric deformations (locally volume preserving). Image registration is a key technology in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-25 Andreas Mang , Amir Gholami , George Biros

PDE-constrained Large Deformation Diffeomorphic Metric Mapping is a particularly interesting framework of physically meaningful diffeomorphic registration methods. Newton-Krylov optimization has shown an excellent numerical accuracy and an…

Computer Vision and Pattern Recognition · Computer Science 2018-07-16 Monica Hernandez

The class of non-rigid registration methods proposed in the framework of PDE-constrained Large Deformation Diffeomorphic Metric Mapping is a particularly interesting family of physically meaningful diffeomorphic registration methods.…

Optimization and Control · Mathematics 2018-08-01 Monica Hernandez

With this work, we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large deformation diffeomorphic image registration problems in three dimensions. We consider an optimal control formulation. We…

Optimization and Control · Mathematics 2020-09-01 Andreas Mang , Amir Gholami , Christos Davatzikos , George Biros

We present our work on scalable, GPU-accelerated algorithms for diffeomorphic image registration. The associated software package is termed CLAIRE. Image registration is a non-linear inverse problem. It is about computing a spatial mapping…

Optimization and Control · Mathematics 2024-02-01 Andreas Mang

Image registration has played an important role in image processing problems, especially in medical imaging applications. It is well known that when the deformation is large, many variational models cannot ensure diffeomorphism. In this…

Numerical Analysis · Mathematics 2022-05-24 Jianping Zhang , Yanyan Li

This paper is concerned with the regularization of large-scale discrete inverse problems by means of inexact Krylov methods. Specifically, we derive two new inexact Krylov methods that can be efficiently applied to unregularized or…

Numerical Analysis · Mathematics 2021-05-18 Silvia Gazzola , Malena Sabaté Landman

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 paper, we present a novel, generic, and accurate diffeomorphic…

Computer Vision and Pattern Recognition · Computer Science 2023-02-08 Yifan Wu , Tom Z. Jiahao , Jiancong Wang , Paul A. Yushkevich , M. Ani Hsieh , James C. Gee

The class of non-rigid registration methods proposed in the framework of PDE-constrained Large Deformation Diffeomorphic Metric Mapping is a particularly interesting family of physically meaningful diffeomorphic registration methods.…

Numerical Analysis · Computer Science 2019-01-30 Monica Hernandez

Numerous regularization methods for deformable image registration aim at enforcing smooth transformations, but are difficult to tune-in a priori and lack a clear physical basis. Physically inspired strategies have emerged, offering a sound…

Image and Video Processing · Electrical Eng. & Systems 2023-12-27 Pablo Alvarez , Stéphane Cotin

Optimization techniques have been widely used in deformable registration, allowing for the incorporation of similarity metrics with regularization mechanisms. These regularization mechanisms are designed to mitigate the effects of trivial…

Computer Vision and Pattern Recognition · Computer Science 2014-04-10 Martin Rajchl , John S. H. Baxter , Wu Qiu , Ali R. Khan , Aaron Fenster , Terry M. Peters , Jing Yuan

Recent deep learning-based methods have shown promising results and runtime advantages in deformable image registration. However, analyzing the effects of hyperparameters and searching for optimal regularization parameters prove to be too…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Tony C. W. Mok , Albert C. S. Chung

Segmentation of microscopy images constitutes an ill-posed inverse problem due to measurement noise, weak object boundaries, and limited labeled data. Although deep neural networks provide flexible nonparametric estimators, unconstrained…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Seema K. Poudel , Sunny K. Khadka

Image registration is a fundamental step in medical image analysis. Ideally, the transformation that registers one image to another should be a diffeomorphism that is both invertible and smooth. Traditional methods like geodesic shooting…

Computer Vision and Pattern Recognition · Computer Science 2019-07-02 Dongyang Kuang

Regularization techniques are necessary to compute meaningful solutions to discrete ill-posed inverse problems. The well-known 2-norm Tikhonov regularization method equipped with a discretization of the gradient operator as regularization…

Numerical Analysis · Mathematics 2024-06-05 Silvia Gazzola , Ali Gholami

Deformable medical image registration is an essential task in computer-assisted interventions. This problem is particularly relevant to oncological treatments, where precise image alignment is necessary for tracking tumor growth, assessing…

Computer Vision and Pattern Recognition · Computer Science 2025-06-04 Stefano Fogarollo , Gregor Laimer , Reto Bale , Matthias Harders

We introduce a novel formulation for curvature regularization by penalizing normal curvatures from multiple directions. This total normal curvature regularization is capable of producing solutions with sharp edges and precise isotropic…

Computer Vision and Pattern Recognition · Computer Science 2025-12-29 Tianle Lu , Ke Chen , Yuping Duan
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