Rotation group SO

On the Parametrization of the Three-Dimensional Rotation Group

John Stuelpnagel

Citations: 479 • 1964

Direct 3D-rotation estimation from spherical images via a generalized shift theorem

Ameesh Makadia, Kostas Daniilidis

Citations: 62 • 2003

Computing the Mean of Geometric Features Application to the Mean Rotation

Xavier Pennec

Citations: 59 • 1998

An Error-State Model Predictive Control on Connected Matrix Lie Groups for Legged Robot Control

Sangli Teng, Dianhao Chen, William R. Clark, Maani Ghaffari

Citations: 28 • 2022

Geometrical analysis of compliant mechanisms in robotics (euclidean group, elastic systems, generalized springs

Josip Lončarić

Citations: 16 • 1985

Codman's paradox of the arm rotations is not a paradox: mathematical validation

Julio C Politti, Gustavo Goroso, Max E. Valentinuzzi, Orlando Bravo

Citations: 14 • 1998

Quaternions and octonions in Mechanics

Aroldo Kaplan

Citations: 11 • 2008

<i>O</i>(<i>n</i>) mass matrix inversion for serial manipulators and polypeptide chains using Lie derivatives

Kiju Lee, Yunfeng Wang, Gregory S. Chirikjian

Citations: 11 • 2007

Rotation and Orientation

Tadej Bajd, Matjaž Mihelj, Marko Munih

Citations: 7 • 2013

On Averaging in Clifford Groups

Sven Buchholz, Gerald Sommer

Citations: 6 • 2005

3D Rotations

Kenichi Kanatani

Citations: 5 • 2020

Efficient generation of random rotation matrices in four dimensions

Jakob Tómas Bullerjahn, Balázs Fábián, Gerhard Hummer

Citations: 4 • 2023

On Averaging in Clifford Groups ⋆

Citations: 3 • 2010

Interpolation on the special orthogonal group with high-dimensional Kuramoto model

Aladin Crnkić, Zinaid Kapić

Citations: 2 • 2021