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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

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

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

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

Medical image registration aims at identifying the spatial deformation between images of the same anatomical region and is fundamental to image-based diagnostics and therapy. To date, the majority of the deep learning-based registration…

Image and Video Processing · Electrical Eng. & Systems 2023-12-05 Anna Reithmeir , Julia A. Schnabel , Veronika A. Zimmer

Diffusion tensor based cardiovascular magnetic resonance (DT-CMR) offers a non-invasive method to visualize the myocardial microstructure. With the assumption that the heart is stationary, frames are acquired with multiple repetitions for…

In this paper the space of images is considered as a Riemannian manifold using the metamorphosis approach, where the underlying Riemannian metric simultaneously measures the cost of image transport and intensity variation. A robust and…

Numerical Analysis · Mathematics 2015-05-28 Benjamin Berkels , Alexander Effland , Martin Rumpf

Tissue deformation in ultrasound (US) imaging leads to geometrical errors when measuring tissues due to the pressure exerted by probes. Such deformation has an even larger effect on 3D US volumes as the correct compounding is limited by the…

Image and Video Processing · Electrical Eng. & Systems 2021-10-26 Zhongliang Jiang , Yue Zhou , Yuan Bi , Mingchuan Zhou , Thomas Wendler , Nassir Navab

In this paper, a method for Automatic Image Registration (AIR) through histogram is proposed. Automatic image registration is one of the crucial steps in the analysis of remotely sensed data. A new acquired image must be transformed, using…

Computer Vision and Pattern Recognition · Computer Science 2014-02-25 V. Karthikeyan

For a wide range of clinical applications, such as adaptive treatment planning or intraoperative image update, feature-based deformable registration (FDR) approaches are widely employed because of their simplicity and low computational…

Computer Vision and Pattern Recognition · Computer Science 2020-01-17 Siming Bayer , Ute Spiske , Jie Luo , Tobias Geimer , William M. Wells , Martin Ostermeier , Rebecca Fahrig , Arya Nabavi , Christoph Bert , Ilker Eyupoglo , Andreas Maier

Ultrasound imaging is a cost-effective and radiation-free modality for visualizing anatomical structures in real-time, making it ideal for guiding surgical interventions. However, its limited field-of-view, speckle noise, and imaging…

Image and Video Processing · Electrical Eng. & Systems 2024-04-26 Remi Delaunay , Ruisi Zhang , Filipe C. Pedrosa , Navid Feizi , Dianne Sacco , Rajni Patel , Jayender Jagadeesan

We present a diffeomorphic image registration algorithm to learn spatial transformations between pairs of images to be registered using fully convolutional networks (FCNs) under a self-supervised learning setting. The network is trained to…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Hongming Li , Yong Fan

The purpose of image registration is to determine a transformation such that the transformed version of the source image is similar to the target one. In this paper we focus on landmark-based image registration using radial basis functions…

Numerical Analysis · Mathematics 2016-12-15 Chiara Bosica , Roberto Cavoretto , Alessandra De Rossi , Hanli Qiao

Image registration is an essential technique for the analysis of Computed Tomography (CT) images in clinical practice. However, existing methodologies are predominantly tailored to a specific organ of interest and often exhibit lower…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Xuan Loc Pham , Mathias Prokop , Bram van Ginneken , Alessa Hering

This paper investigates a family of dynamical systems arising from an evolutionary re-interpretation of certain optimal control and optimization problems. We focus particularly on the application in image registration of the theory of…

Chaotic Dynamics · Physics 2011-06-21 F. Gay-Balmaz , D. D. Holm , T. S. Ratiu

Spatially varying regularization accommodates the deformation variations that may be necessary for different anatomical regions during deformable image registration. Historically, optimization-based registration models have harnessed…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Junyu Chen , Shuwen Wei , Yihao Liu , Zhangxing Bian , Yufan He , Aaron Carass , Harrison Bai , Yong Du

As in other areas of medical image analysis, e.g. semantic segmentation, deep learning is currently driving the development of new approaches for image registration. Multi-scale encoder-decoder network architectures achieve state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Lasse Hansen , Mattias P. Heinrich

Diffusion-weighted magnetic resonance imaging (dMRI) is widely used to assess the brain white matter. One of the most common computations in dMRI involves cross-subject tract-specific analysis, whereby dMRI-derived biomarkers are compared…

Image and Video Processing · Electrical Eng. & Systems 2023-07-12 Davood Karimi , Hamza Kebiri , Ali Gholipour

Continuous image morphing is a classical task in image processing. The metamorphosis model proposed by Trouv\'e, Younes and coworkers casts this problem in the frame of Riemannian geometry and geodesic paths between images. The associated…

Optimization and Control · Mathematics 2020-03-27 Alexander Effland , Sebastian Neumayer , Martin Rumpf

Dynamic MRI may capture temporal anatomical changes in soft tissue organs with high contrast but the obtained sequences usually suffer from limited volume coverage which makes the high resolution reconstruction of organ shape trajectories a…

Computer Vision and Pattern Recognition · Computer Science 2023-02-23 Karim Makki , Amine Bohi , Augustin . C Ogier , Marc Emmanuel Bellemare