Euclidean group

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

F.C. Park, B.J. Martin

Citations: 551 • 1994

SE-Sync: A certifiably correct algorithm for synchronization over the special Euclidean group

David M. Rosen, Luca Carlone, Afonso S. Bandeira, John J. Leonard

Citations: 283 • 2018

Nonparametric Second-order Theory of Error Propagation on Motion Groups

Yunfeng Wang, Gregory S. Chirikjian

Citations: 124 • 2008

Analysis of Swept Volume via Lie Groups and Differential Equations

Denis Blackmore, Ming-Chuan Leu

Citations: 75 • 1992

Homography-based visual servoing of wheeled mobile robots

Yongchun Fang, D.M. Dawson, Warren E. Dixon, Marcio de Queiroz

Citations: 73 • 2003

Particle filtering on the Euclidean group: framework and applications

Kwon Junghyun, Minseok Choi, F. C. Park, Changmook Chun

Citations: 64 • 2007

Visual inertial odometry for quadrotors on SE(3)

Giuseppe Loianno, Michael Watterson, Vijay Kumar

Citations: 57 • 2016

Bayesian Fusion on Lie Groups

Kevin Wolfe, Michael Mashner

Citations: 52 • 2011

Lie Groups and Lie Algebras in Robotics

J. M. Selig

Citations: 50 • 2006

Motion generation for formations of robots: A geometric approach

Călin Belta, Vijay Kumar

Citations: 50 • 2002

Inversion Symmetry of the Euclidean Group: Theory and Application to Robot Kinematics

Yuanqing Wu, Harald Löwe, Marco Carricato, Zexiang Li

Citations: 50 • 2016

Online Motion Planning based on Nonlinear Model Predictive Control with Non-Euclidean Rotation Groups

Christoph Rösmann, Artemi Makarow, Torsten Bertram

Citations: 42 • 2021

A Lie Algebraic Approach for Consistent Pose Registration for General Euclidean Motion

Motilal Agrawal

Citations: 41 • 2006

Integrated Guidance and Feedback Control of Underactuated Robotics System in SE(3)

Sasi Prabhakaran Viswanathan, Amit K. Sanyal, Ehsan Samiei

Citations: 40 • 2017

Using Lie group symmetries for fast corrective motion planning

Konstantin M. Seiler, Surya P. N. Singh, Salah Sukkarieh, Hugh Durrant‐Whyte

Citations: 34 • 2011

An operational calculus for the euclidean motion group with applications in robotics and polymer science

Gregory S. Chirikjian, Alexander B. Kyatkin

Citations: 31 • 2000

Visual Servoing of Robot Manipulators Part I: Projective Kinematics

Andreas Ruf, Radu Horaud

Citations: 28 • 1999

Pose Changes From a Different Point of View

Gregory S. Chirikjian, Robert Mahony, Sipu Ruan, Jochen Trumpf

Citations: 26 • 2018

Symmetric Subspace Motion Generators

Yuanqing Wu, Marco Carricato

Citations: 25 • 2018

A Lie group formulation of the dynamics of cooperating robot systems

Scott Ploen, Frank C. Park

Citations: 24 • 1997