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Related papers: Constrained $H^1$-regularization schemes for diffe…

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We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control. This leads to an infinite-dimensional partial…

Numerical Analysis · Mathematics 2015-05-08 Andreas Mang , George Biros

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

Spatially varying regularization accommodates the deformation variations that may be necessary for different anatomical regions during deformable image registration. Historically, optimization-based registration models have harnessed…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Junyu Chen , Shuwen Wei , Yihao Liu , Zhangxing Bian , Yufan He , Aaron Carass , Harrison Bai , Yong Du

Deformable image registration is a fundamental task in medical image analysis and plays a crucial role in a wide range of clinical applications. Recently, deep learning-based approaches have been widely studied for deformable medical image…

Image and Video Processing · Electrical Eng. & Systems 2023-07-03 Jing Zou , Noémie Debroux , Lihao Liu , Jing Qin , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

In this thesis, we offer a thorough investigation of different regularisation terms used in variational imaging problems, together with detailed optimisation processes of these problems. We begin by studying smooth problems and partially…

Computer Vision and Pattern Recognition · Computer Science 2021-10-07 Joseph Bartlett , Jinming Duan

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

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

In the past, optimization-based registration models have used spatially-varying regularization to account for deformation variations in different image regions. However, deep learning-based registration models have mostly relied on…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Junyu Chen , Yihao Liu , Yufan He , Yong Du

Manifold-valued signal- and image processing has received attention due to modern image acquisition techniques. Recently, a convex relaxation of the otherwise nonconvex Tikhonov-regularization for denoising circle-valued data has been…

Numerical Analysis · Mathematics 2024-05-17 Robert Beinert , Jonas Bresch , Gabriele Steidl

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

Image registration is a fundamental task in medical image analysis. Recently, deep learning based image registration methods have been extensively investigated due to their excellent performance despite the ultra-fast computational time.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Boah Kim , Dong Hwan Kim , Seong Ho Park , Jieun Kim , June-Goo Lee , Jong Chul Ye

Conventional deformable registration methods aim at solving an optimization model carefully designed on image pairs and their computational costs are exceptionally high. In contrast, recent deep learning based approaches can provide fast…

Computer Vision and Pattern Recognition · Computer Science 2021-10-01 Risheng Liu , Zi Li , Xin Fan , Chenying Zhao , Hao Huang , Zhongxuan Luo

We introduce an adaptive regularization approach. In contrast to conventional Tikhonov regularization, which specifies a fixed regularization operator, we estimate it simultaneously with parameters. From a Bayesian perspective we estimate…

Computer Vision and Pattern Recognition · Computer Science 2009-06-19 Andriy Myronenko , Xubo Song

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

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 is fundamental in medical imaging applications, such as disease progression analysis or radiation therapy planning. The primary objective of image registration is to precisely capture the deformation between two or more…

Image and Video Processing · Electrical Eng. & Systems 2024-12-23 Anna Reithmeir , Veronika Spieker , Vasiliki Sideri-Lampretsa , Daniel Rueckert , Julia A. Schnabel , Veronika A. Zimmer

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

Diffeomorphic deformable image registration is crucial in many medical image studies, as it offers unique, special properties including topology preservation and invertibility of the transformation. Recent deep learning-based deformable…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tony C. W. Mok , Albert C. S. Chung

Image registration is a key technique in medical image analysis to estimate deformations between image pairs. A good deformation model is important for high-quality estimates. However, most existing approaches use ad-hoc deformation models…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Marc Niethammer , Roland Kwitt , Francois-Xavier Vialard

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
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