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In the study of shapes of human organs using computational anatomy, variations are found to arise from inter-subject anatomical differences, disease-specific effects, and measurement noise. This paper introduces a stochastic model for…

Computer Vision and Pattern Recognition · Computer Science 2016-12-19 Alexis Arnaudon , Darryl D. Holm , Akshay Pai , Stefan Sommer

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

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

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

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

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

Establishing dense volumetric correspondences across anatomical shapes is essential for group-level analysis but remains challenging for implicit neural representations. Most existing implicit registration methods rely on supervision near…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Athena Taymourtash , S. Mazdak Abulnaga , Esra Abaci Turk , P. Ellen Grant , Polina Golland

Diffeomorphic registration is a widely used technique for finding a smooth and invertible transformation between two coordinate systems, which are measured using template and reference images. The point-wise volume-preserving constraint…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Yanyan Li , Ke Chen , Chong Chen , Jianping Zhang

Temporal volume images with 3D+t (4D) information are often used in medical imaging to statistically analyze temporal dynamics or capture disease progression. Although deep-learning-based generative models for natural images have been…

Image and Video Processing · Electrical Eng. & Systems 2022-06-28 Boah Kim , Jong Chul Ye

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

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

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

The simulation of physical phenomena with computer models relies on the estimation of physical and/or numerical parameters calibrated to fit experimental data. The approximations within the computer model and the errors in the measurements…

Methodology · Statistics 2026-05-12 Paul Lartaud , Gwenaël Salin

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

Dynamical system models such as Recurrent Neural Networks (RNNs) have become increasingly popular as hypothesis-generating tools in scientific research. Evaluating the dynamics in such networks is key to understanding their learned…

Machine Learning · Computer Science 2024-02-16 Ruiqi Chen , Giacomo Vedovati , Todd Braver , ShiNung Ching

We propose a variational regularisation approach for the problem of template-based image reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed tomography. An image is reconstructed from such measurements…

Optimization and Control · Mathematics 2019-04-02 Lukas F. Lang , Sebastian Neumayer , Ozan Öktem , Carola-Bibiane Schönlieb

We propose a new variational model for joint image reconstruction and motion estimation in spatiotemporal imaging, which is investigated along a general framework that we present with shape theory. This model consists of two components, one…

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

We develop a learning framework for building deformable templates, which play a fundamental role in many image analysis and computational anatomy tasks. Conventional methods for template creation and image alignment to the template have…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 Adrian V. Dalca , Marianne Rakic , John Guttag , Mert R. Sabuncu
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