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Reliably and physically accurately transferring information between images through deformable image registration with large anatomical differences is an open challenge in medical image analysis. Most existing methods have two key…

Computer Vision and Pattern Recognition · Computer Science 2023-03-13 Georgios Andreadis , Peter A. N. Bosman , Tanja Alderliesten

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

This paper addresses the issue of matching rigid 3D object points with 2D image points through point registration based on maximum likelihood principle in computer simulated images. Perspective projection is necessary when transforming 3D…

Computer Vision and Pattern Recognition · Computer Science 2018-03-08 Jing Wu

Estimating the pose of a camera with respect to a 3D reconstruction or scene representation is a crucial step for many mixed reality and robotics applications. Given the vast amount of available data nowadays, many applications constrain…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Marcela Mera-Trujillo , Benjamin Smith , Victor Fragoso

3-D image registration, which involves aligning two or more images, is a critical step in a variety of medical applications from diagnosis to therapy. Image registration is commonly performed by optimizing an image matching metric as a cost…

Computer Vision and Pattern Recognition · Computer Science 2016-12-01 Rui Liao , Shun Miao , Pierre de Tournemire , Sasa Grbic , Ali Kamen , Tommaso Mansi , Dorin Comaniciu

This paper presents an approach to fast image registration through probabilistic pixel sampling. We propose a practical scheme to leverage the benefits of two state-of-the-art pixel sampling approaches: gradient magnitude based pixel…

Computer Vision and Pattern Recognition · Computer Science 2020-10-07 Boris N. Oreshkin , Tal Arbel

We present a new approach to discretizing shape optimization problems that generalizes standard moving mesh methods to higher-order mesh deformations and that is naturally compatible with higher-order finite element discretizations of…

Numerical Analysis · Mathematics 2017-06-13 A. Paganini , F. Wechsung , P. E. Farrell

Nonlinear image registration continues to be a fundamentally important tool in medical image analysis. Diagnostic tasks, image-guided surgery and radiotherapy as well as motion analysis all rely heavily on accurate intra-patient alignment.…

Computer Vision and Pattern Recognition · Computer Science 2019-07-26 Mattias P. Heinrich

Image registration has played an important role in image processing problems, especially in medical imaging applications. It is well known that when the deformation is large, many variational models cannot ensure diffeomorphism. In this…

Numerical Analysis · Mathematics 2022-05-24 Jianping Zhang , Yanyan Li

Probabilistic methods for point set registration have demonstrated competitive results in recent years. These techniques estimate a probability distribution model of the point clouds. While such a representation has shown promise, it is…

Computer Vision and Pattern Recognition · Computer Science 2018-10-24 Felix Järemo Lawin , Martin Danelljan , Fahad Shahbaz Khan , Per-Erik Forssén , Michael Felsberg

This article aims to present a general analysis of a class of inverse problems that consists in recovering the elliptic parameter maps in systems of PDEs, such as the linear elastic system, from the knowledge of some of their solutions.…

Analysis of PDEs · Mathematics 2025-05-26 Élie Bretin , Eliott Kacedan , Laurent Seppecher

Patient specific brain mesh generation from MRI can be a time consuming task and require manual corrections, e.g., for meshing the ventricular system or defining subdomains. To address this issue, we consider an image registration approach.…

Numerical Analysis · Mathematics 2024-04-10 Bastian Zapf , Johannes Haubner , Lukas Baumgärtner , Stephan Schmidt

We propose a PDE-constrained shape registration algorithm that captures the deformation and growth of biological tissue from imaging data. Shape registration is the process of evaluating optimum alignment between pairs of geometries through…

Biological Physics · Physics 2022-04-07 Aishwarya Pawar , Linlin Li , Arun K Gosain , David M Umulis , Adrian B Tepole

The proposed two-dimensional geometrically exact beam element extends our previous work by including the effects of shear distortion, and also of distributed forces and moments acting along the beam. The general flexibility-based…

Numerical Analysis · Mathematics 2025-08-06 Milan Jirasek , Martin Horak , Emma La Malfa Ribolla , Chiara Bonvissuto

We propose an algorithm to numerically determined whether a second-order linear PDE problem satisfying a Garding inequality is well-posed. This algorithm further provides a lower bound to the inf-sup constant of the weak formulation, which…

Numerical Analysis · Mathematics 2026-05-20 T. Chaumont-Frelet

Image segmentation is to extract meaningful objects from a given image. For degraded images due to occlusions, obscurities or noises, the accuracy of the segmentation result can be severely affected. To alleviate this problem, prior…

Computer Vision and Pattern Recognition · Computer Science 2021-04-01 Daoping Zhang , Lok Ming Lui

We consider a vector-Laplace problem posed on a 2D surface embedded in a 3D domain, which results from the modeling of surface fluids based on exterior Cartesian differential operators. The main topic of this paper is the development and…

Numerical Analysis · Mathematics 2017-09-05 Sven Groß , Thomas Jankuhn , Maxim A. Olshanskii , Arnold Reusken

We introduce a convergent finite difference method for solving the optimal transportation problem on the sphere. The method applies to both the traditional squared geodesic cost (arising in mesh generation) and a logarithmic cost (arising…

Numerical Analysis · Mathematics 2021-05-11 Brittany Froese Hamfeldt , Axel G. R. Turnquist

In this paper we provide a thorough, rigorous theoretical framework to assess optimality guarantees of sampling-based algorithms for drift control systems: systems that, loosely speaking, can not stop instantaneously due to momentum. We…

Robotics · Computer Science 2015-10-28 Edward Schmerling , Lucas Janson , Marco Pavone

This paper introduces an active object detection and localization framework that combines a robust untextured object detection and 3D pose estimation algorithm with a novel next-best-view selection strategy. We address the detection and…

Computer Vision and Pattern Recognition · Computer Science 2016-03-24 Marco Imperoli , Alberto Pretto