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This paper addresses the question of whether it can be beneficial for an optimization algorithm to follow directions of negative curvature. Although prior work has established convergence results for algorithms that integrate both descent…

Optimization and Control · Mathematics 2018-04-05 Frank E. Curtis , Daniel P. Robinson

This study presents a theoretical structure for the monocular pose estimation problem using the total least squares. The unit-vector line-of-sight observations of the features are extracted from the monocular camera images. First, the…

Computer Vision and Pattern Recognition · Computer Science 2022-10-25 Saeed Maleki , John Crassidis , Yang Cheng , Matthias Schmid

We derive novel algorithms for optimization problems constrained by partial differential equations describing multiscale particle dynamics, including non-local integral terms representing interactions between particles. In particular, we…

Numerical Analysis · Mathematics 2021-09-09 Mildred Aduamoah , Benjamin D. Goddard , John W. Pearson , Jonna C. Roden

In this paper, we study nonconvex constrained optimization problems with both equality and inequality constraints, covering deterministic and stochastic settings. We propose a novel first-order algorithm framework that employs a…

Optimization and Control · Mathematics 2025-11-10 Qiankun Shi , Xiao Wang

Accurate maps are a prerequisite for virtually all mobile robot tasks. Most state-of-the-art maps assume a static world; therefore, dynamic objects are filtered out of the measurements. However, this division ignores movable but non-moving…

Robotics · Computer Science 2025-01-09 Matti Pekkanen , Francesco Verdoja , Ville Kyrki

The rotation averaging problem is a fundamental task in computer vision applications. It is generally very difficult to solve due to the nonconvex rotation constraints. While a sufficient optimality condition is available in the literature,…

Computer Vision and Pattern Recognition · Computer Science 2021-03-19 Yihong Dong , Lunchen Xie , Qingjiang Shi

Currently, the improvement of LiDAR poses estimation accuracy is an urgent need for mobile robots. Research indicates that diverse LiDAR points have different influences on the accuracy of pose estimation. This study aimed to select a good…

Robotics · Computer Science 2022-08-17 Zeyu Wan , Yu Zhang , Bin He , Zhuofan Cui , Weichen Dai , Lipu Zhou , Guoquan Huang

We propose a new position control strategy for VTOL-UAVs using IMU and GPS measurements. Since there is no sensor that measures the attitude, our approach does not rely on the knowledge (or reconstruction) of the system orientation as…

Optimization and Control · Mathematics 2012-03-22 Andrew Roberts , Abdelhamid Tayebi

This paper presents an orbit estimation using non-simultaneous horizon detector measurements in the presence of uncertainties in the celestial body rotational velocity and its geometrical characteristics. The celestial body is modelled as a…

Instrumentation and Methods for Astrophysics · Physics 2018-05-01 Amir Shakouri , Mahdi Hazrati Azad , Nima Assadian

In many real-world settings, image observations of freely rotating 3D rigid bodies may be available when low-dimensional measurements are not. However, the high-dimensionality of image data precludes the use of classical estimation…

Computer Vision and Pattern Recognition · Computer Science 2024-04-12 Justice Mason , Christine Allen-Blanchette , Nicholas Zolman , Elizabeth Davison , Naomi Ehrich Leonard

The estimation of parameters from data is a common problem in many areas of the physical sciences, and frequently used algorithms rely on sets of simulated data which are fit to data. In this article, an analytic solution for…

Data Analysis, Statistics and Probability · Physics 2022-09-27 Daniel Britzger

Coordinate descent methods employ random partial updates of decision variables in order to solve huge-scale convex optimization problems. In this work, we introduce new adaptive rules for the random selection of their updates. By adaptive,…

Machine Learning · Computer Science 2017-03-08 Dmytro Perekrestenko , Volkan Cevher , Martin Jaggi

We consider a category-level perception problem, where one is given 3D sensor data picturing an object of a given category (e.g. a car), and has to reconstruct the pose and shape of the object despite intra-class variability (i.e. different…

Computer Vision and Pattern Recognition · Computer Science 2023-09-19 Jingnan Shi , Heng Yang , Luca Carlone

In this paper, we consider the collaborative attitude estimation problem for a multi-agent system. The agents are equipped with sensors that provide directional measurements and relative attitude measurements. We present a bottom-up…

Systems and Control · Electrical Eng. & Systems 2024-07-23 Yixiao Ge , Behzad Zamani , Pieter van Goor , Jochen Trumpf , Robert Mahony

Why is it that semidefinite relaxations have been so successful in numerous applications in computer vision and robotics for solving non-convex optimization problems involving rotations? In studying the empirical performance we note that…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Lucas Brynte , Viktor Larsson , José Pedro Iglesias , Carl Olsson , Fredrik Kahl

Rotation Averaging is a non-convex optimization problem that determines orientations of a collection of cameras from their images of a 3D scene. The problem has been studied using a variety of distances and robustifiers. The intrinsic (or…

Computer Vision and Pattern Recognition · Computer Science 2020-03-19 Kyle Wilson , David Bindel

In this paper the exact analytical solution of the motion of a rigid body with arbitrary mass distribution is derived in the absence of forces or torques. The resulting expressions are cast into a form where the dependence of the motion on…

Statistical Mechanics · Physics 2007-07-31 Ramses van Zon , Jeremy Schofield

Objective: The effect of camera viewpoint was studied when performing visually obstructed psychomotor targeting tasks. Background: Previous research in laparoscopy and robotic teleoperation found that complex perceptual-motor adaptations…

Human-Computer Interaction · Computer Science 2022-04-18 Bailey Ramesh , Anna Konstant , Pragathi Praveena , Emmanuel Senft , Michael Gleicher , Bilge Mutlu , Michael Zinn , Robert G. Radwin

This paper presents a trajectory-tracking controller for multi-rotor unmanned aerial vehicles (UAVs) in scenarios where only the desired position and heading are known without the higher-order derivatives. The proposed solution modifies the…

Systems and Control · Electrical Eng. & Systems 2023-11-14 Yogesh Kumar , S. B. Roy , P. B. Sujit

The detection of landmarks or patterns is of interest for extracting features in biological images. Hence, algorithms for finding these keypoints have been extensively investigated in the literature, and their localization and detection…

Information Theory · Computer Science 2017-10-11 Zsuzsanna Püspöki , Arash Amini , Julien Fageot , John Paul Ward , Michael Unser