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In computational 3D geometric problems involving rotations, it is often that people have to convert back and forth between a rotational matrix and a rotation described by an axis and a corresponding angle. For this purpose, Rodrigues'…

Computational Geometry · Computer Science 2018-10-10 Kuo Kan Liang

Automatic image rotation estimation is a key preprocessing step in many vision pipelines. This task is challenging because angles have circular topology, creating boundary discontinuities that hinder standard regression methods. We present…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Maximilian Woehrer

Touch-based object localization is an important component of autonomous robotic systems that are to perform dexterous tasks in real-world environments. When the objects to locate are placed within clutters, this touch-based procedure tends…

Robotics · Computer Science 2017-09-28 Huy Nguyen , Quang-Cuong Pham

Since X-ray tomography is now widely adopted in many different areas, it becomes more crucial to find a robust routine of handling tomographic data to get quality reconstructed images. Though there are several existing techniques, it seems…

Medical Physics · Physics 2021-12-17 Kyungtaek Jun , Seokhwan Yoon , Kyu Kwon

The Thomas precession is calculated using three different transformations to the rotating frame. It is shown that for sufficiently large values of $v/c$, important differences in the predicted angle of precession appear, depending on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 L. Herrera , A. Di Prisco

We present a novel angular fingerprinting algorithm for detecting changes in the direction of rotation of a target with a monostatic, stationary sonar platform. Unlike other approaches, we assume that the target's centroid is stationary,…

Computational Engineering, Finance, and Science · Computer Science 2012-04-20 Michael Robinson

Rotation estimation of known rigid objects is important for robotic applications such as dexterous manipulation. Most existing methods for rotation estimation use intermediate representations such as templates, global or local feature…

Computer Vision and Pattern Recognition · Computer Science 2018-12-04 Ge Gao , Mikko Lauri , Jianwei Zhang , Simone Frintrop

Optical navigation on a CubeSat must rely on the best extraction of the directions of some beacons from on-board images. We present an experiment on OPS-SAT, a CubeSat of the European Space Agency (ESA), that will characterize an onboard…

Instrumentation and Methods for Astrophysics · Physics 2022-03-15 Boris Segret , Youssoupha Diaw , Valery Lainey

Matching two images while estimating their relative geometry is a key step in many computer vision applications. For decades, a well-established pipeline, consisting of SIFT, RANSAC, and 8-point algorithm, has been used for this task.…

Computer Vision and Pattern Recognition · Computer Science 2019-09-13 Jia-Wang Bian , Yu-Huan Wu , Ji Zhao , Yun Liu , Le Zhang , Ming-Ming Cheng , Ian Reid

Image alignment plays a crucial role in solar physics research, primarily involving translation, rotation, and scaling. \G{The different wavelength images of the chromosphere and transition region have structural complexity and differences…

Instrumentation and Methods for Astrophysics · Physics 2025-03-17 Yun Wang , KaiFan Ji , Zhenyu Jin , Hui Liu

We present an approach to solving hard geometric optimization problems in the RANSAC framework. The hard minimal problems arise from relaxing the original geometric optimization problem into a minimal problem with many spurious solutions.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Petr Hruby , Timothy Duff , Anton Leykin , Tomas Pajdla

The goals of this paper are to obtain theoretical models of what happens when a computer calculates the rotation set of a homeomorphism, and to find a good algorithm to perform simulations of this rotation set. To do that we introduce the…

Dynamical Systems · Mathematics 2014-06-10 Pierre-Antoine Guiheneuf

In coronary angiography the condition of myocardial blood supply is assessed by analyzing 2-D X-ray projections of contrasted coronary arteries. This is done using a flexible C-arm system. Due to the X-ray immanent dimensionality reduction…

How to efficiently and accurately handle image matching outliers is a critical issue in two-view relative estimation. The prevailing RANSAC method necessitates that the minimal point pairs be inliers. This paper introduces a linear relative…

Computer Vision and Pattern Recognition · Computer Science 2024-01-25 Qi Cai , Xinrui Li , Yuanxin Wu

Oriented object detection is a challenging task in aerial images since the objects in aerial images are displayed in arbitrary directions and are frequently densely packed. The mainstream detectors describe rotating objects using a…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Xinyi Yu , Mi Lin , Jiangping Lu , Linlin Ou

Circular targets are widely used in LiDAR-camera extrinsic calibration due to their geometric consistency and ease of detection. However, achieving accurate 3D-2D circular center correspondence remains challenging. Existing methods often…

Computer Vision and Pattern Recognition · Computer Science 2025-11-11 Jiajun Jiang , Xiao Hu , Wancheng Liu , Wei Jiang

This work presents two novel solvers for estimating the relative poses among views with known vertical directions. The vertical directions of camera views can be easily obtained using inertial measurement units (IMUs) which have been widely…

Computer Vision and Pattern Recognition · Computer Science 2025-12-23 Tao Li , Zhenbao Yu , Banglei Guan , Jianli Han , Weimin Lv , Friedrich Fraundorfer

This paper introduces a highly efficient algorithm capable of jointly estimating scale and rotation between two images with sub-pixel precision. Image alignment serves as a critical process for spatially registering images captured from…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Shinji Yamashita , Yuma Kinoshita , Hitoshi Kiya

Non-blind rotary motion deblurring (RMD) aims to recover the latent clear image from a rotary motion blurred (RMB) image. The rotation center is a crucial input parameter in non-blind RMD methods. Existing methods directly estimate the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Jinhui Qin , Yong Ma , Jun Huang , Fan Fan , You Du

In this article we present an efficient algorithm to compute rotation intervals of circle maps of degree one. It is based on the computation of the rotation number of a monotone circle map of degree one with a constant section. The main…

Dynamical Systems · Mathematics 2021-07-07 Lluís Alsedà , Salvador Borrós-Cullell