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Optimal control problems are formulated and efficient computational procedures are proposed for combined orbital and rotational maneuvers of a rigid body in three dimensions. The rigid body is assumed to act under the influence of forces…

Optimization and Control · Mathematics 2016-11-15 Taeyoung Lee , N. Harris McClamroch , Melvin Leok

Visual reconstruction of fast non-rigid object deformations over time is a challenge for conventional frame-based cameras. In this paper, we propose a novel approach for reconstructing such deformations using measurements from event-based…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 Yuxuan Xue , Haolong Li , Stefan Leutenegger , Jörg Stückler

Deformable medical image registration is a fundamental task in medical image analysis with applications in disease diagnosis, treatment planning, and image-guided interventions. Despite significant advances in deep learning based…

Machine Learning · Computer Science 2026-02-10 Muhammad Zafar Iqbal , Ghazanfar Farooq Siddiqui , Anwar Ul Haq , Imran Razzak

Physics-inspired regularization is desired for intra-patient image registration since it can effectively capture the biomechanical characteristics of anatomical structures. However, a major challenge lies in the reliance on physical…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Anna Reithmeir , Lina Felsner , Rickmer Braren , Julia A. Schnabel , Veronika A. Zimmer

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

Soft-tissue surgeries, such as tumor resections, are complicated by tissue deformations that can obscure the accurate location and shape of tissues. By representing tissue surfaces as point clouds and applying non-rigid point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Sara Monji-Azad , Marvin Kinz , Siddharth Kothari , Robin Khanna , Amrei Carla Mihan , David Maennel , Claudia Scherl , Juergen Hesser

This paper joins some concepts from Mechanics, Partial Differential Equations and Control Theory in order to solve bi-time optimization problems related to stress tensor in plastic deformations. The main goal is to analyze some optimal…

Optimization and Control · Mathematics 2015-04-23 Simona Dinu , Andreea Bejenaru

We consider image registration as an optimal control problem using an optical flow formulation, i.e., we discuss an optimization problem that is governed by a linear hyperbolic transport equation. Requiring Lipschitz continuity of the…

Optimization and Control · Mathematics 2026-02-03 Johannes Haubner , Christian Clason

Determining the 3D pose of a patient from a limited set of 2D X-ray images is a critical task in interventional settings. While preoperative volumetric imaging (e.g., CT and MRI) provides precise 3D localization and visualization of…

Computer Vision and Pattern Recognition · Computer Science 2025-10-24 Vivek Gopalakrishnan , Neel Dey , Polina Golland

Imperfect data (noise, outliers and partial overlap) and high degrees of freedom make non-rigid registration a classical challenging problem in computer vision. Existing methods typically adopt the $\ell_{p}$ type robust estimator to…

Computer Vision and Pattern Recognition · Computer Science 2020-04-10 Yuxin Yao , Bailin Deng , Weiwei Xu , Juyong Zhang

Robot-assisted minimally invasive surgery has shown to improve patient outcomes, as well as reduce complications and recovery time for several clinical applications. While increasingly configurable robotic arms can maximize reach and avoid…

Medical image registration is critical for aligning anatomical structures across imaging modalities such as computed tomography (CT), magnetic resonance imaging (MRI), and ultrasound. Among existing techniques, non-rigid registration (NRR)…

Image and Video Processing · Electrical Eng. & Systems 2025-12-17 Sneha Sree C. , Dattesh Shanbhag , Sudhanya Chatterjee

Traction force microscopy is a method widely used in biophysics and cell biology to determine forces that biological cells apply to their environment. In the experiment, the cells adhere to a soft elastic substrate, which is then deformed…

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

The success of deep learning depends heavily on the availability of large datasets, but in robotic manipulation there are many learning problems for which such datasets do not exist. Collecting these datasets is time-consuming and…

Robotics · Computer Science 2022-07-21 Peter Mitrano , Dmitry Berenson

Deformable object manipulation (DOM) is an emerging research problem in robotics. The ability to manipulate deformable objects endows robots with higher autonomy and promises new applications in the industrial, services, and healthcare…

Soft continuum robots achieve complex deformation through elastic equilibrium, making their reachable motions governed jointly by structural design and actuation-induced mechanics. This work develops a general formulation that integrates…

Robotics · Computer Science 2025-12-01 Zhiwei Wu , Jiahao Luo , Siyi Wei , Jinhui Zhang

Providing force feedback as relevant information in current Robot-Assisted Minimally Invasive Surgery systems constitutes a technological challenge due to the constraints imposed by the surgical environment. In this context, Sensorless…

Computer Vision and Pattern Recognition · Computer Science 2018-05-23 Arturo Marban , Vignesh Srinivasan , Wojciech Samek , Josep Fernández , Alicia Casals

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

Robotics · Computer Science 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati

The shaking force balancing is a well-known problem in the design of high-speed robotic systems because the variable dynamic loads cause noises, wear and fatigue of mechanical structures. Different solutions, for full or partial shaking…

Robotics · Computer Science 2020-11-17 Jing Geng , Vigen Arakelian , Damien Chablat