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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

These lecture notes explain the geometry and discuss some of the analytical questions underlying image registration within the framework of large deformation diffeomorphic metric mapping (LDDMM) used in computational anatomy.

Differential Geometry · Mathematics 2013-11-01 Martins Bruveris , Darryl D. Holm

Unprecedented visual details of biological structures are being revealed by subcellular-resolution whole-brain 3D microscopy data, enabled by recent advances in intact tissue processing and light-sheet fluorescence microscopy (LSFM). These…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Minyoung E. Kim , Dae Hee Yun , Aditi V. Patel , Madeline Hon , Webster Guan , Taegeon Lee , Brian Nguyen

This paper describes how Large Deformation Diffeomorphic Metric Mapping (LDDMM) can be coupled with a Fast Multipole (FM) Boundary Element Method (BEM) to investigate the relationship between morphological changes in the head, torso, and…

Computational Geometry · Computer Science 2016-11-17 Reza Zolfaghari , Nicolas Epain , Craig T. Jin , Joan Glaunès , Anthony Tew

Recent advancements in medical image segmentation techniques have achieved compelling results. However, most of the widely used approaches do not take into account any prior knowledge about the shape of the biomedical structures being…

Image and Video Processing · Electrical Eng. & Systems 2019-09-18 Zhou He , Siqi Bao , Albert Chung

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

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

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

Whole brain neuroanatomy using tera-voxel light-microscopic data sets is of much current interest. A fundamental problem in this field is the mapping of individual brain data sets to a reference space. Previous work has not rigorously…

Neurons and Cognition · Quantitative Biology 2019-04-18 Brian C. Lee , Meng Kuan Lin , Yan Fu , Junichi Hata , Michael I. Miller , Partha P. Mitra

Deep Implicit Functions (DIFs) represent 3D geometry with continuous signed distance functions learned through deep neural nets. Recently DIFs-based methods have been proposed to handle shape reconstruction and dense point correspondences…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shanlin Sun , Kun Han , Deying Kong , Hao Tang , Xiangyi Yan , Xiaohui Xie

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

Deep neural networks are increasingly used for pair-wise image registration. We propose to extend current learning-based image registration to allow simultaneous registration of multiple images. To achieve this, we build upon the pair-wise…

Image and Video Processing · Electrical Eng. & Systems 2020-10-02 Tycho F. A. van der Ouderaa , Ivana Išgum , Wouter B. Veldhuis , Bob D. de Vos

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

Anatomical shape differences in cortical structures in the brain can be associated with various neuropsychiatric and neuro-developmental diseases or disorders. Labeled Cortical Distance Map (LCDM), can be a powerful tool to quantize such…

We represent the sequence of fMRI (Functional Magnetic Resonance Imaging) brain volumes recorded during a cognitive stimulus by a graph which consists of a set of local meshes. The corresponding cognitive process, encoded in the brain, is…

Machine Learning · Computer Science 2016-03-04 Itir Onal , Mete Ozay , Eda Mizrak , Ilke Oztekin , Fatos T. Yarman Vural

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

Analyzing and predicting brain aging is essential for early prognosis and accurate diagnosis of cognitive diseases. The technique of neuroimaging, such as Magnetic Resonance Imaging (MRI), provides a noninvasive means of observing the aging…

Image and Video Processing · Electrical Eng. & Systems 2022-12-06 Jingru Fu , Antonios Tzortzakakis , José Barroso , Eric Westman , Daniel Ferreira , Rodrigo Moreno

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 medical imaging, most of the image registration methods implicitly assume a one-to-one correspondence between the source and target images (i.e., diffeomorphism). However, this is not necessarily the case when dealing with pathological…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Matthis Maillard , Anton François , Joan Glaunès , Isabelle Bloch , Pietro Gori

Estimating accurate high-dimensional transformations remains very challenging, especially in a clinical setting. In this paper, we introduce a multiscale parameterization of deformations to enhance registration and atlas estimation in the…

Optimization and Control · Mathematics 2025-01-31 Fleur Gaudfernau , Eléonore Blondiaux , Stéphanie Allassonnière , Erwan Le Pennec