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Diffeomorphic registration using optimal control on the diffeomorphism group and on shape spaces has become widely used since the development of the Large Deformation Diffeomorphic Metric Mapping (LDDMM) algorithm. More recently, a series…

Optimization and Control · Mathematics 2015-03-04 Sylvain Arguillère , Michael Miller , Laurent Younes

Diffeomorphic registration frameworks such as Large Deformation Diffeomorphic Metric Mapping (LDDMM) are used in computer graphics and the medical domain for atlas building, statistical latent modeling, and pairwise and groupwise…

Image and Video Processing · Electrical Eng. & Systems 2024-07-31 Sven Dummer , Nicola Strisciuglio , Christoph Brune

The geometric approach to diffeomorphic image registration known as "large deformation by diffeomorphic metric mapping" (LDDMM) is based on a left action of diffeomorphisms on images, and a right-invariant metric on a diffeomorphism group,…

Differential Geometry · Mathematics 2014-01-16 Tanya Schmah , Laurent Risser , François-Xavier Vialard

In deformable registration, the geometric framework - large deformation diffeomorphic metric mapping or LDDMM, in short - has inspired numerous techniques for comparing, deforming, averaging and analyzing shapes or images. Grounded in…

Artificial Intelligence · Computer Science 2022-05-11 Boulbaba Ben Amor , Sylvain Arguillère , Ling Shao

We introduce a deep encoder-decoder architecture for image deformation prediction from multimodal images. Specifically, we design an image-patch-based deep network that jointly (i) learns an image similarity measure and (ii) the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-03 Xiao Yang , Roland Kwitt , Martin Styner , Marc Niethammer

We introduce a region-specific diffeomorphic metric mapping (RDMM) registration approach. RDMM is non-parametric, estimating spatio-temporal velocity fields which parameterize the sought-for spatial transformation. Regularization of these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-12 Zhengyang Shen , François-Xavier Vialard , Marc Niethammer

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

We propose a fluid-based registration framework of medical images based on implicit neural representation. By integrating implicit neural representation and Large Deformable Diffeomorphic Metric Mapping (LDDMM), we employ a Multilayer…

Image and Video Processing · Electrical Eng. & Systems 2023-11-28 Chulong Zhang , Xiaokun Liang

We present a method to predict image deformations based on patch-wise image appearance. Specifically, we design a patch-based deep encoder-decoder network which learns the pixel/voxel-wise mapping between image appearance and registration…

Computer Vision and Pattern Recognition · Computer Science 2016-07-11 Xiao Yang , Roland Kwitt , Marc Niethammer

Deformable image registration plays an essential role in various medical image tasks. Existing deep learning-based deformable registration frameworks primarily utilize convolutional neural networks (CNNs) or Transformers to learn features…

Computer Vision and Pattern Recognition · Computer Science 2024-11-26 Jiong Wu , Kuang Gong

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

This paper presents a predictive model for estimating regularization parameters of diffeomorphic image registration. We introduce a novel framework that automatically determines the parameters controlling the smoothness of diffeomorphic…

Image and Video Processing · Electrical Eng. & Systems 2022-02-08 Jian Wang , Miaomiao Zhang

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

Diffeomorphic image registration is crucial for various medical imaging applications because it can preserve the topology of the transformation. This study introduces DCCNN-LSTM-Reg, a learning framework that evolves dynamically and learns…

Image and Video Processing · Electrical Eng. & Systems 2024-11-06 Jinqiu Deng , Ke Chen , Mingke Li , Daoping Zhang , Chong Chen , Alejandro F. Frangi , Jianping Zhang

Person re-identification addresses the problem of matching pedestrian images across disjoint camera views. Design of feature descriptor and distance metric learning are the two fundamental tasks in person re-identification. In this paper,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-10 T M Feroz Ali , Kalpesh K Patel , Rajbabu Velmurugan , Subhasis Chaudhuri

In the framework of large deformation diffeomorphic metric mapping (LDDMM), we develop a multi-scale theory for the diffeomorphism group based on previous works. The purpose of the paper is (1) to develop in details a variational approach…

Numerical Analysis · Mathematics 2015-04-09 Martins Bruveris , Laurent Risser , François-Xavier Vialard

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

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

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

In this paper, we propose a novel large deformation diffeomorphic registration algorithm to align high angular resolution diffusion images (HARDI) characterized by orientation distribution functions (ODFs). Our proposed algorithm seeks an…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Jia Du , Alvina Goh , Anqi Qiu
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