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Deep learning-based methods have recently demonstrated promising results in deformable image registration for a wide range of medical image analysis tasks. However, existing deep learning-based methods are usually limited to small…

Image and Video Processing · Electrical Eng. & Systems 2020-07-01 Tony C. W. Mok , Albert C. S. Chung

This work proposes a multimodal diffeomorphic registration method using Neural Ordinary Differential Equations (Neural ODEs). Nonrigid registration algorithms exhibit tradeoffs between their accuracy, the computational complexity of their…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Salvador Rodriguez-Sanz , Monica Hernandez

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

Many imaging problems can be formulated as mapping problems. A general mapping problem aims to obtain an optimal mapping that minimizes an energy functional subject to the given constraints. Existing methods to solve the mapping problems…

Computer Vision and Pattern Recognition · Computer Science 2022-08-16 Qiguang Chen , Zhiwen Li , Lok Ming Lui

In this paper, we propose an implementation of both Large Deformation Diffeomorphic Metric Mapping (LDDMM) and Metamorphosis image registration using a semi-Lagrangian scheme for geodesic shooting. We propose to solve both problems as an…

Computer Vision and Pattern Recognition · Computer Science 2021-06-17 Anton François , Pietro Gori , Joan Glaunès

This paper discusses the mathematical framework for designing methods of large deformation matching (LDM) for image registration in computational anatomy. After reviewing the geometrical framework of LDM image registration methods, a…

Chaotic Dynamics · Physics 2015-04-09 M. Bruveris , F. Gay-Balmaz , D. D. Holm , T. S. Ratiu

We tackle the problem of optimizing over all possible positive definite radial kernels on Riemannian manifolds for classification. Kernel methods on Riemannian manifolds have recently become increasingly popular in computer vision. However,…

Computer Vision and Pattern Recognition · Computer Science 2014-12-16 Sadeep Jayasumana , Richard Hartley , Mathieu Salzmann , Hongdong Li , Mehrtash Harandi

Modelling deformation of anatomical objects observed in medical images can help describe disease progression patterns and variations in anatomy across populations. We apply a stochastic generalisation of the Large Deformation Diffeomorphic…

Statistics Theory · Mathematics 2018-12-14 Line Kühnel , Alexis Arnaudon , Tom Fletcher , Stefan Sommer

Diffeomorphic image registration, offering smooth transformation and topology preservation, is required in many medical image analysis tasks.Traditional methods impose certain modeling constraints on the space of admissible transformations…

Computer Vision and Pattern Recognition · Computer Science 2022-11-03 Kun Han , Shanlin sun , Xiangyi Yan , Chenyu You , Hao Tang , Junayed Naushad , Haoyu Ma , Deying Kong , Xiaohui Xie

We describe a diffeomorphic registration algorithm that allows groups of images to be accurately aligned to a common space, which we intend to incorporate into the SPM software. The idea is to perform inference in a probabilistic graphical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-10 Mikael Brudfors , Yaël Balbastre , Guillaume Flandin , Parashkev Nachev , John Ashburner

Image segmentation is a fundamental task in computer vision aimed at delineating object boundaries within images. Traditional approaches, such as edge detection and variational methods, have been widely explored, while recent advances in…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Junchao Zhou

In image set classification, a considerable advance has been made by modeling the original image sets by second order statistics or linear subspace, which typically lie on the Riemannian manifold. Specifically, they are Symmetric Positive…

Computer Vision and Pattern Recognition · Computer Science 2018-05-31 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

This article presents a general framework for the transport of probability measures towards minimum divergence generative modeling and sampling using ordinary differential equations (ODEs) and Reproducing Kernel Hilbert Spaces (RKHSs),…

Machine Learning · Statistics 2024-02-14 Biraj Pandey , Bamdad Hosseini , Pau Batlle , Houman Owhadi

The purpose of this work is to contribute to the state of the art of deep-learning methods for diffeomorphic registration. We propose an adversarial learning LDDMM method for pairs of 3D mono-modal images based on Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2021-11-25 Ubaldo Ramon , Monica Hernandez , Elvira Mayordomo

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 discuss both a theoretical and practical setting for the…

Optimization and Control · Mathematics 2015-03-04 Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes

In recent years, manifold learning has become increasingly popular as a tool for performing non-linear dimensionality reduction. This has led to the development of numerous algorithms of varying degrees of complexity that aim to recover man…

Machine Learning · Statistics 2013-06-03 Dominique Perraul-Joncas , Marina Meila

We present KeyMorph, a deep learning-based image registration framework that relies on automatically detecting corresponding keypoints. State-of-the-art deep learning methods for registration often are not robust to large misalignments, are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-04 Alan Q. Wang , Evan M. Yu , Adrian V. Dalca , Mert R. Sabuncu

Most of the deep learning based medical image registration algorithms focus on brain image registration tasks.Compared with brain registration, the chest CT registration has larger deformation, more complex background and region over-lap.…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Cheng Wang , Qiyu Gao , Fandong Zhang , Shu Zhang , Yizhou Yu

Recently, the theory of diffusion maps was extended to a large class of local kernels with exponential decay which were shown to represent various Riemannian geometries on a data set sampled from a manifold embedded in Euclidean space.…

Classical Analysis and ODEs · Mathematics 2015-09-28 Tyrus Berry , John Harlim

Nonrigid registration is vital to medical image analysis but remains challenging for diffusion MRI (dMRI) due to its high-dimensional, orientation-dependent nature. While classical methods are accurate, they are computationally demanding,…

Image and Video Processing · Electrical Eng. & Systems 2025-01-13 Gianfranco Cortes , Xiaoda Qu , Baba C. Vemuri