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This paper proposes a new framework and algorithms to address the problem of diffeomorphic registration on a general class of geometric objects that can be described as discrete distributions of local direction vectors. It builds on both…

Optimization and Control · Mathematics 2018-02-15 Hsi-Wei Hsieh , Nicolas Charon

This paper aims to create a deep learning framework that can estimate the deformation vector field (DVF) for directly registering abdominal MRI-CT images. The proposed method assumed a diffeomorphic deformation. By using topology-preserved…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Yang Lei , Luke A. Matkovic , Justin Roper , Tonghe Wang , Jun Zhou , Beth Ghavidel , Mark McDonald , Pretesh Patel , Xiaofeng Yang

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 propose a deformable registration algorithm based on unsupervised learning of a low-dimensional probabilistic parameterization of deformations. We model registration in a probabilistic and generative fashion, by applying a conditional…

Computer Vision and Pattern Recognition · Computer Science 2018-07-23 Julian Krebs , Tommaso Mansi , Boris Mailhé , Nicholas Ayache , Hervé Delingette

Registration, which aims to find an optimal one-to-one correspondence between different data, is an important problem in various fields. This problem is especially challenging when large deformations occur. In this paper, we present a novel…

Differential Geometry · Mathematics 2013-10-08 Lam Ka Chun , Lok Ming Lui

We propose to learn a low-dimensional probabilistic deformation model from data which can be used for registration and the analysis of deformations. The latent variable model maps similar deformations close to each other in an encoding…

Computer Vision and Pattern Recognition · Computer Science 2019-03-19 Julian Krebs , Hervé Delingette , Boris Mailhé , Nicholas Ayache , Tommaso Mansi

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

Registration is an essential tool in image analysis. Deep learning based alternatives have recently become popular, achieving competitive performance at a faster speed. However, many contemporary techniques are limited to volumetric…

Image and Video Processing · Electrical Eng. & Systems 2021-09-29 Balder Croquet , Daan Christiaens , Seth M. Weinberg , Michael Bronstein , Dirk Vandermeulen , Peter Claes

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

The paper adapts the large deformation diffeomorphic metric mapping framework for image registration to the indirect setting where a template is registered against a target that is given through indirect noisy observations. The registration…

Numerical Analysis · Mathematics 2019-11-06 Chong Chen , Ozan Öktem

In this paper, we propose a novel mathematical framework for piecewise diffeomorphic image registration that involves discontinuous sliding motion using a diffeomorphism groupoid and algebroid approach. The traditional Large Deformation…

Group Theory · Mathematics 2026-04-30 Lili Bao , Bin Xiao , Shihui Ying , 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 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

In this paper, we propose a new approach to deformable image registration that captures sliding motions. The large deformation diffeomorphic metric mapping (LDDMM) registration method faces challenges in representing sliding motion since it…

Optimization and Control · Mathematics 2023-03-15 Lili Bao , Jiahao Lu , Shihui Ying , Stefan Sommer

We present a method for nonrigid registration of 2-D geometric shapes. Our contribution is twofold. First, we extend the classic chamfer-matching energy to a variational functional. Secondly, we introduce a meshless deformation model that…

Computer Vision and Pattern Recognition · Computer Science 2011-04-22 Wei Liu , Eraldo Ribeiro

In computational anatomy, the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework has become a central tool for modeling smooth, invertible transformations between shapes such as curves or landmarks. In this paper, we extend…

Differential Geometry · Mathematics 2025-11-19 Rayane Mouhli , Thomas Pierron

Image registration is the process of bringing different images into a common coordinate system - a technique widely used in various applications of computer vision, such as remote sensing, image retrieval, and, most commonly, medical…

Medical image registration is a challenging task involving the estimation of spatial transformations to establish anatomical correspondence between pairs or groups of images. Recently, deep learning-based image registration methods have…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Xiang Chen , Yan Xia , Nishant Ravikumar , Alejandro F Frangi

This study proposes an end-to-end unsupervised diffeomorphic deformable registration framework based on moving mesh parameterization. Using this parameterization, a deformation field can be modeled with its transformation Jacobian…

Image and Video Processing · Electrical Eng. & Systems 2022-08-30 Ameneh Sheikhjafari , Deepa Krishnaswamy , Michelle Noga , Nilanjan Ray , Kumaradevan Punithakumar

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
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