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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

We introduce a stochastic model of diffeomorphisms, whose action on a variety of data types descends to stochastic evolution of shapes, images and landmarks. The stochasticity is introduced in the vector field which transports the data in…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Alexis Arnaudon , Darryl D. Holm , Stefan Sommer

Anatomy is undergoing a renaissance driven by availability of large digital data sets generated by light microscopy. A central computational task is to map individual data volumes to standardized templates. This is accomplished by…

Image and Video Processing · Electrical Eng. & Systems 2018-09-19 Daniel J. Tward , Partha Mitra , Michael I. Miller

Estimating probabilistic deformable template models is a new approach in the fields of computer vision and probabilistic atlases in computational anatomy. A first coherent statistical framework modelling the variability as a hidden random…

Computation · Statistics 2009-01-16 Stéphanie Allassonnière , Estelle Kuhn

Matching of images and analysis of shape differences is traditionally pursued by energy minimization of paths of deformations acting to match the shape objects. In the Large Deformation Diffeomorphic Metric Mapping (LDDMM) framework,…

Computer Vision and Pattern Recognition · Computer Science 2018-10-23 Alexis Arnaudon , Darryl Holm , Stefan Sommer

Accurate tracking of an anatomical landmark over time has been of high interests for disease assessment such as minimally invasive surgery and tumor radiation therapy. Ultrasound imaging is a promising modality benefiting from low-cost and…

Computer Vision and Pattern Recognition · Computer Science 2023-02-01 Zhihua Liu , Bin Yang , Yan Shen , Xuejun Ni , Huiyu Zhou

We introduce a novel conditional stochastic interpolant framework for generative modeling of three-dimensional shapes. The method builds on a recent LDDMM-based registration approach to learn the conditional drift between geometries. By…

Machine Learning · Statistics 2026-03-31 Sarah Katz , Francesco Romor , Jia-Jie Zhu , Alfonso Caiazzo

Models of stochastic image deformation allow study of time-continuous stochastic effects transforming images by deforming the image domain. Applications include longitudinal medical image analysis with both population trends and random…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Alexander Christgau , Alexis Arnaudon , Stefan Sommer

We innovatively propose a flexible and consistent face alignment framework, LDDMM-Face, the key contribution of which is a deformation layer that naturally embeds facial geometry in a diffeomorphic way. Instead of predicting facial…

Computer Vision and Pattern Recognition · Computer Science 2021-08-03 Huilin Yang , Junyan Lyu , Pujin Cheng , Xiaoying Tang

Statistical shape modeling aims at capturing shape variations of an anatomical structure that occur within a given population. Shape models are employed in many tasks, such as shape reconstruction and image segmentation, but also shape…

Computer Vision and Pattern Recognition · Computer Science 2022-09-16 David Lüdke , Tamaz Amiranashvili , Felix Ambellan , Ivan Ezhov , Bjoern Menze , Stefan Zachow

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

3D anatomical landmarks play an important role in health research. Their automated prediction/localization thus becomes a vital task. In this paper, we introduce a deformation method for 3D anatomical landmarks prediction. It utilizes a…

Computer Vision and Pattern Recognition · Computer Science 2021-10-05 Sheldon Fung , Xuequan Lu , Mantas Mykolaitis , Gediminas Kostkevicius , Domantas Ozerenskis

Clinical investigations of anatomy's structural changes over time could greatly benefit from population-level quantification of shape, or spatiotemporal statistic shape modeling (SSM). Such a tool enables characterizing patient organ cycles…

Machine Learning · Computer Science 2022-09-08 Jadie Adams , Nawazish Khan , Alan Morris , Shireen Elhabian

Advances in the development of largely automated microscopy methods such as MERFISH for imaging cellular structures in mouse brains are providing spatial detection of micron resolution gene expression. While there has been tremendous…

Numerical Analysis · Mathematics 2022-12-20 Michael I Miller , Alain Trouvé , Laurent Younes

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

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

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

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

A Point Distribution Model (PDM) is the basis of a Statistical Shape Model (SSM) that relies on a set of landmark points to represent a shape and characterize the shape variation. In this work, we present a self-supervised approach to…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Chun-Hung Chao , Marc Niethammer

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
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