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This letter introduces two multi-sensor state estimation frameworks for quadruped robots, built on the Invariant Extended Kalman Filter (InEKF) and Invariant Smoother (IS). The proposed methods, named E-InEKF and E-IS, fuse kinematics, IMU,…

This paper investigates the orientation, position, and linear velocity estimation problem of a rigid-body moving in three-dimensional (3D) space with six degrees-of-freedom (6 DoF). The highly nonlinear navigation kinematics are formulated…

Robotics · Computer Science 2024-12-05 Khashayar Ghanizadegan , Hashim A. Hashim

Accurate relative orbit determination is a significant challenge in modern space operations, particularly when relying only on angular measurements. The inherent observability limitations of this approach make initial state estimation…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Kui Xie , Giovanni Romagnoli , Giordana Bucchioni , Alberto Bemporad

Accurate 6D object pose estimation is fundamental to robotic manipulation and grasping. Previous methods follow a local optimization approach which minimizes the distance between closest point pairs to handle the rotation ambiguity of…

Computer Vision and Pattern Recognition · Computer Science 2020-03-10 Meng Tian , Liang Pan , Marcelo H Ang , Gim Hee Lee

We study the mathematical properties of the Invariant Extended Kalman Filter (IEKF) when iterating on the measurement update step, following the principles of the well-known Iterated Extended Kalman Filter. This iterative variant of the…

Systems and Control · Electrical Eng. & Systems 2025-11-26 Sven Goffin , Axel Barrau , Silvère Bonnabel , Olivier Brüls , Pierre Sacré

The robustness and accuracy of a vision system for motion estimation of a tumbling target satellite are enhanced by an adaptive Kalman filter. This allows a vision-guided robot to complete the grasping of the target even if occlusion occurs…

Robotics · Computer Science 2022-11-08 Farhad Aghili

6D object pose estimation involves determining the three-dimensional translation and rotation of an object within a scene and relative to a chosen coordinate system. This problem is of particular interest for many practical applications in…

Computer Vision and Pattern Recognition · Computer Science 2024-09-20 Thomas Pöllabauer , Ashwin Pramod , Volker Knauthe , Michael Wahl

Visual relocalization is the task of estimating the camera pose given an image it views. Absolute pose regression offers a solution to this task by training a neural network, directly regressing the camera pose from image features. While an…

Computer Vision and Pattern Recognition · Computer Science 2025-04-11 Fereidoon Zangeneh , Amit Dekel , Alessandro Pieropan , Patric Jensfelt

We propose a probabilistic filtering method which fuses joint measurements with depth images to yield a precise, real-time estimate of the end-effector pose in the camera frame. This avoids the need for frame transformations when using it…

Robotics · Computer Science 2016-11-28 Cristina Garcia Cifuentes , Jan Issac , Manuel Wüthrich , Stefan Schaal , Jeannette Bohg

This work addresses the critical lack of precision in state estimation in the Kalman filter for 3D multi-object tracking (MOT) and the ongoing challenge of selecting the appropriate motion model. Existing literature commonly relies on…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mohamed Nagy , Naoufel Werghi , Bilal Hassan , Jorge Dias , Majid Khonji

The main contribution of this paper is an invariant extended Kalman filter (EKF) for visual inertial navigation systems (VINS). It is demonstrated that the conventional EKF based VINS is not invariant under the stochastic unobservable…

Robotics · Computer Science 2017-03-02 Teng Zhang , Kanzhi Wu , Daobilige Su , Shoudong Huang , Gamini Dissanayake

Real-world applications of bipedal robot walking require accurate, real-time state estimation. State estimation for locomotion over dynamic rigid surfaces (DRS), such as elevators, ships, public transport vehicles, and aircraft, remains…

Robotics · Computer Science 2021-09-06 Yuan Gao , Yan Gu

We introduce FocalPose, a neural render-and-compare method for jointly estimating the camera-object 6D pose and camera focal length given a single RGB input image depicting a known object. The contributions of this work are twofold. First,…

Computer Vision and Pattern Recognition · Computer Science 2022-04-12 Georgy Ponimatkin , Yann Labbé , Bryan Russell , Mathieu Aubry , Josef Sivic

Symmetric objects are common in daily life and industry, yet their inherent orientation ambiguities that impede the training of deep learning networks for pose estimation are rarely discussed in the literature. To cope with these…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Andreas Kriegler , Csaba Beleznai , Margrit Gelautz

It is imperative to accelerate the training of neural network force field such as Deep Potential, which usually requires thousands of images based on first-principles calculation and a couple of days to generate an accurate potential energy…

Computational Physics · Physics 2022-12-15 Siyu Hu , Wentao Zhang , Qiuchen Sha , Feng Pan , Lin-Wang Wang , Weile Jia , Guangmng Tan , Tong Zhao

This paper proposes a novel geometric nonlinear filter for attitude and bias estimation on the Special Orthogonal Group $SO(3)$ using matrix measurements. The structure of the proposed filter is similar to that of the continuous-time…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Farooq Aslam , Muhammad Farooq Haydar , Suhail Akhtar

Fast pose estimation (PE) is of vital importance for successful mission performance of agile autonomous robots. Global Positioning Systems such as GPS and GNSS have been typically used in fusion with Inertial Navigation Systems (INS) for…

Accurate estimation and prediction of trajectory is essential for the capture of any high speed target. In this paper, an extended Kalman filter (EKF) is used to track the target in the first loop of the trajectory to collect data points…

Object pose estimation is an integral part of robot vision and AR. Previous 6D pose retrieval pipelines treat the problem either as a regression task or discretize the pose space to classify. We change this paradigm and reformulate the…

Computer Vision and Pattern Recognition · Computer Science 2020-12-02 Benjamin Busam , Hyun Jun Jung , Nassir Navab

Indoor tracking and pose estimation, i.e., determining the position and orientation of a moving target, are increasingly important due to their numerous applications. While Inertial Navigation Systems (INS) provide high update rates, their…

Robotics · Computer Science 2024-09-04 Mohammed H. AlSharif , Mohanad Ahmed , Mohamed Siala , Tareq Y. Al-Naffouri