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The nonrigid alignment between a pre-operative biomechanical model and an intra-operative observation is a critical step to track the motion of a soft organ in augmented surgery. While many elastic registration procedures introduce…

Optimization and Control · Mathematics 2022-06-23 Guillaume Mestdagh , Stéphane Cotin

We propose regularization schemes for deformable registration and efficient algorithms for their numerical approximation. We treat image registration as a variational optimal control problem. The deformation map is parametrized by its…

Optimization and Control · Mathematics 2016-09-09 Andreas Mang , George Biros

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the…

Optimization and Control · Mathematics 2015-03-04 Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes

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

Diffeomorphic deformable image registration is one of the crucial tasks in medical image analysis, which aims to find a unique transformation while preserving the topology and invertibility of the transformation. Deep convolutional neural…

Image and Video Processing · Electrical Eng. & Systems 2022-02-09 Ameneh Sheikhjafari , Michelle Noga , Kumaradevan Punithakumar , Nilanjan Ray

The free-form deformation model can represent a wide range of non-rigid deformations by manipulating a control point lattice over the image. However, due to a large number of parameters, it is challenging to fit the free-form deformation…

Computer Vision and Pattern Recognition · Computer Science 2022-06-10 Takumi Nakane , Haoran Xie , Chao Zhang

A crucial problem in shape deformation analysis is to determine a deformation of a given shape into another one, which is optimal for a certain cost. It has a number of applications in particular in medical imaging. In this article we…

Optimization and Control · Mathematics 2014-01-06 Sylvain Arguillere , Emmanuel Trélat , Alain Trouvé , Laurent Younes

We present a postprocessing layer for deformable image registration to make a registration field more diffeomorphic by encouraging Jacobians of the transformation to be positive. Diffeomorphic image registration is important for medical…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Soumyadeep Pal , Matthew Tennant , Nilanjan Ray

Diffeomorphic image registration (DIR) is a fundamental task in 3D medical image analysis that seeks topology-preserving deformations between image pairs. To ensure diffeomorphism, a common approach is to model the deformation field as the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Mohammadjavad Matinkia , Nilanjan Ray

In breast surgical planning, accurate registration of MR images across patient positions has the potential to improve the localisation of tumours during breast cancer treatment. While learning-based registration methods have recently become…

This paper introduces VPreg, a novel diffeomorphic image registration method. This work provides several improvements to our past work on mesh generation and diffeomorphic image registration. VPreg aims to achieve excellent registration…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Zicong Zhou , Baihan Zhao , Andreas Mang , Guojun Liao

This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in diffeomorphic registration methods that, together with the…

Numerical Analysis · Mathematics 2017-06-19 Jean Feydy , Benjamin Charlier , François-Xavier Vialard , Gabriel Peyré

We propose numerical algorithms for solving large deformation diffeomorphic image registration problems. We formulate the nonrigid image registration problem as a problem of optimal control. This leads to an infinite-dimensional partial…

Numerical Analysis · Mathematics 2015-05-08 Andreas Mang , George Biros

Classical deformable registration techniques achieve impressive results and offer a rigorous theoretical treatment, but are computationally intensive since they solve an optimization problem for each image pair. Recently, learning-based…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Adrian V. Dalca , Guha Balakrishnan , John Guttag , Mert R. Sabuncu

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

Purpose: Diffeomorphic image registration is essential in many medical imaging applications. Several registration algorithms of such type have been proposed, but primarily for intra-contrast alignment. Currently, efficient…

Image and Video Processing · Electrical Eng. & Systems 2022-09-14 Nima Masoumi , Hassan Rivaz , M. Omair Ahmad , Yiming Xiao

Image registration has traditionally been done using two distinct approaches: learning based methods, relying on robust deep neural networks, and optimization-based methods, applying complex mathematical transformations to warp images…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Gabriel De Araujo , Shanlin Sun , Xiaohui Xie

We present HyperMorph, a learning-based strategy for deformable image registration that removes the need to tune important registration hyperparameters during training. Classical registration methods solve an optimization problem to find a…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Andrew Hoopes , Malte Hoffmann , Bruce Fischl , John Guttag , Adrian V. Dalca

Image registration is a fundamental task in medical image analysis. Recently, deep learning based image registration methods have been extensively investigated due to their excellent performance despite the ultra-fast computational time.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-14 Boah Kim , Dong Hwan Kim , Seong Ho Park , Jieun Kim , June-Goo Lee , Jong Chul Ye

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…