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Distinction among nearby poses and among symmetries of an object is challenging. In this paper, we propose a unified, group-theoretic approach to tackle both. Different from existing works which directly predict absolute pose, our method…

Computer Vision and Pattern Recognition · Computer Science 2018-09-05 Berkay Kicanaoglu , Ran Tao , Arnold W. M. Smeulders

Orientation is a key attribute of objects, crucial for understanding their spatial pose and arrangement in images. However, practical solutions for accurate orientation estimation from a single image remain underexplored. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2024-12-25 Zehan Wang , Ziang Zhang , Tianyu Pang , Chao Du , Hengshuang Zhao , Zhou Zhao

A deterministic attitude estimator for a rigid body under an attitude dependent potential is studied. This estimator requires only a single direction measurement to a known reference point at each measurement instant. The measurement cannot…

Optimization and Control · Mathematics 2007-05-23 Taeyoung Lee , Melvin Leok , N. Harris McClamroch , Amit K. Sanyal

Detecting oriented objects along with estimating their rotation information is one crucial step for analyzing remote sensing images. Despite that many methods proposed recently have achieved remarkable performance, most of them directly…

Computer Vision and Pattern Recognition · Computer Science 2021-12-02 Yanjie Wang , Xu Zou , Zhijun Zhang , Wenhui Xu , Liqun Chen , Sheng Zhong , Luxin Yan , Guodong Wang

Attitude estimation or determination is a fundamental task for satellites to remain effectively operational. This task is furthermore complicated on small satellites by the limited space and computational power available on-board. This,…

Robotics · Computer Science 2021-07-21 Raunak Srivastava , Roshan Sah , Kaushik Das

Inertial odometry (IO) using strap-down inertial measurement units (IMUs) is critical in many robotic applications where precise orientation and position tracking are essential. Prior kinematic motion model-based IO methods often use a…

Robotics · Computer Science 2024-05-16 Yuheng Qiu , Chen Wang , Can Xu , Yutian Chen , Xunfei Zhou , Youjie Xia , Sebastian Scherer

A simple procedure is developed to determine orbital elements of an object orbiting in a central force field which contribute more than three independent celestial positions. By manipulation of formal three point Gauss method of orbit…

Earth and Planetary Astrophysics · Physics 2015-06-17 Taghi Mirtorabi

ASTROD I is the first planned space mission in a series of ASTROD missions for testing relativity in space using optical devices. The main aims are: (i) to test General Relativity with an improvement of three orders of magnitude compared to…

General Relativity and Quantum Cosmology · Physics 2013-01-09 Hanns Selig , Claus Laemmerzahl , Wei-Tou Ni

Visual estimation of heading in the human brain is widely believed to be based on instantaneous optic flow, the velocity of retinal image motion. However, we previously found that humans are unable to use instantaneous optic flow to…

Neurons and Cognition · Quantitative Biology 2022-04-28 Charlie S. Burlingham , Mengjian Hua , Oliver Xu , Kathryn Bonnen , David J. Heeger

Inertial Odometry (IO) has gained attention in quadrotor applications due to its sole reliance on inertial measurement units (IMUs), attributed to its lightweight design, low cost, and robust performance across diverse environments.…

Robotics · Computer Science 2026-03-03 Jiahao Cui , Feng Yu , Linzuo Zhang , Yu Hu , Danping Zou

This paper proposes a solution for multiple-impulse orbital maneuvers near circular orbits for special cases where orbital observations are not globally available and the spacecraft is being observed through a limited window from a ground…

Optimization and Control · Mathematics 2020-06-02 Amir Shakouri , Seid H. Pourtakdoust , Mohammad Sayanjali

Most LiDAR odometry algorithms estimate the transformation between two consecutive frames by estimating the rotation and translation in an intervening fashion. In this paper, we propose our Decoupled LiDAR Odometry (DeLiO), which -- for the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Queens Maria Thomas , Oliver Wasenmüller , Didier Stricker

We investigate a method to compute a finite set of preliminary orbits for solar system bodies using the first integrals of the Kepler problem. This method is thought for the applications to the modern sets of astrometric observations, where…

Mathematical Physics · Physics 2010-04-01 Giovanni Federico Gronchi , Linda Dimare , Andrea Milani

Estimating camera motion from monocular video is a fundamental problem in computer vision, central to tasks such as SLAM, visual odometry, and structure-from-motion. Existing methods that recover the camera's heading under known rotation,…

Computer Vision and Pattern Recognition · Computer Science 2026-02-27 David Dirnfeld , Fabien Delattre , Pedro Miraldo , Erik Learned-Miller

Reliable spatial information can be difficult to obtain in planetary remote sensing applications because of errors present in the metadata of images taken with space probes. We have designed a pipeline to address this problem on…

Instrumentation and Methods for Astrophysics · Physics 2020-09-07 Ines Belgacem , Grégory Jonniaux , Frédéric Schmidt

We describe a geometrical method for tracing a planet's orbit using its velocity hodograph, that is, the path of the planet's velocity. The method requires only a straight edge, a compass, and the help of the hodograph. We also obtain…

Classical Physics · Physics 2016-08-16 E. Guillaumín-España , H. N. Núñez-Yépez , A. L. Salas-Brito

In the existing methods, LiDAR odometry shows superior performance, but visual odometry is still widely used for its price advantage. Conventionally, the task of visual odometry mainly rely on the input of continuous images. However, it is…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Huiying Deng , Guangming Wang , Zhiheng Feng , Chaokang Jiang , Xinrui Wu , Yanzi Miao , Hesheng Wang

Radar detects stable, long-range objects under variable weather and lighting conditions, making it a reliable and versatile sensor well suited for ego-motion estimation. In this work, we propose a radar-only odometry pipeline that is highly…

Robotics · Computer Science 2019-04-26 Sarah H. Cen , Paul Newman

The attitude of a rigid body evolves on the three-dimensional special orthogonal group, and it is often estimated by measuring reference directions, such as gravity or magnetic field, using an onboard sensor. As a single direction…

Optimization and Control · Mathematics 2021-07-01 Weixin Wang , Kanishke Gamagedara , Taeyoung Lee

Radar offers unique advantages for localization in unstructured environments, including robustness to weather, lighting, and airborne particulates. While most prior work has studied radar odometry in urban, largely planar settings, its…