Lie group

The Invariant Extended Kalman Filter as a Stable Observer

Axel Barrau, Silvère Bonnabel

Citations: 588 • 2016

Robot sensor calibration: solving AX=XB on the Euclidean group

F.C. Park, B.J. Martin

Citations: 551 • 1994

The Lie group of rigid body displacements, a fundamental tool for mechanism design

JM Hervé

Citations: 425 • 1999

A Lie Group Formulation of Robot Dynamics

F. C. Park, J.E. Bobrow, Scott Ploen

Citations: 346 • 1995

Robotic manipulators and the product of exponentials formula

R. Brockett

Citations: 313 • 2005

A comprehensive introduction to sub-Riemannian geometry from the Hamiltonian viewpoint

Davide Barilari, Ugo Boscain

Citations: 290 • 2020

Type Synthesis of 3R2T 5-DOF Parallel Mechanisms Using the Lie Group of Displacements

Qiang Li, Zhenyu Huang, J. M. Hervé

Citations: 251 • 2004

manif: A micro Lie theory library for state estimation in robotics applications

Jérémie Deray, Joan Solà

Citations: 238 • 2020

A micro Lie theory for state estimation in robotics

Joan Solà, Jérémie Deray, Dinesh Atchuthan

Citations: 158 • 2018

Control of Nonholonomic Mobile Robots Based on the Transverse Function Approach

Patrick Gallinari, Claude Samson

Citations: 148 • 2009

The mechanics and control of undulatory robotic locomotion

J.P. Ostrowski

Citations: 130 • 1995

A globally convergent numerical algorithm for computing the centre of mass on compact Lie groups

Jonathan H. Manton

Citations: 98 • 2005

Unscented Kalman filtering on Lie groups

Martin Brossard, Silvère Bonnabel, Jean-Philippe Condomines

Citations: 94 • 2017

Computing reduced equations for robotic systems with constraints and symmetries

J.P. Ostrowski

Citations: 78 • 1999

Controllability of spacecraft systems in a central gravitational field

Kuang‐Yow Lian, Li‐Sheng Wang, Li‐Chen Fu

Citations: 75 • 1994

Analysis of Swept Volume via Lie Groups and Differential Equations

Denis Blackmore, Ming-Chuan Leu

Citations: 75 • 1992

Invariant Kalman Filtering for Visual Inertial SLAM

Martin Brossard, Silvère Bonnabel, Axel Barrau

Citations: 74 • 2018

Application of Lie Algebras to Visual Servoing

Tom Drummond, Roberto Cipolla

Citations: 66 • 2000

Metrics and Connections for Rigid-Body Kinematics

Miloš Žefran, Vijay Kumar, Christopher B. Croke

Citations: 66 • 1999

Differential Geometry and Lie Groups

Jean Gallier, Jocelyn Quaintance

Citations: 63 • 2020