Rotation matrix

Closed-form solution of absolute orientation using unit quaternions

Berthold K. P. Horn

Citations: 4109 • 1987

Closed-form solution of absolute orientation using orthonormal matrices

Berthold K. P. Horn, Hugh M. Hilden, S. Negahdaripour

Citations: 1147 • 1988

Metrics for 3D Rotations: Comparison and Analysis

Du Q. Huynh

Citations: 693 • 2009

Geometric Approach to Strapdown Magnetometer Calibration in Sensor Frame

J.F. Vasconcelos, Gabriel Elkaim, Carlos Silvestre, Paulo Oliveira, B. Cardeira

Citations: 311 • 2011

Deeper understanding of the homography decomposition for vision-based control

Ezio Malis, Manuel Vargas

Citations: 196 • 2007

Dual-number transformation and its applications to robotics

You-Liang Gu, J. Luh

Citations: 114 • 1987

Online three‐dimensional SLAM by registration of large planar surface segments and closed‐form pose‐graph relaxation

Kaustubh Pathak, Andreas Birk, Narunas Vaškevičius, Max Pfingsthorn, Sören Schwertfeger, Jann Poppinga

Citations: 108 • 2009

Direct and Inverse Kinematics to the Anthropomorphic Robots

Florian Ion Tiberiu Petrescu, Relly Victoria Petrescu

Citations: 85 • 2016

Position and orientation control of robot manipulators using dual quaternion feedback

Hoang-Lan Pham, Véronique Perdereau, Bruno Vilhena Adorno, Philippe Fraisse

Citations: 82 • 2010

DIRECT AND INVERSE KINEMATICS TO THE ANTHROPOMORPHIC ROBOTS

Florian Ion Tiberiu Petrescu, Relly Victoria Petrescu

Citations: 69 • 2016

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

Ameesh Makadia, Kostas Daniilidis

Citations: 62 • 2003

<title>Pose and motion estimation using dual quaternion-based extended Kalman filtering</title>

James S. Goddard, Mongi A. Abidi

Citations: 61 • 1998

Base frame calibration for coordinated industrial robots

Yahui Gan, Xianzhong Dai

Citations: 59 • 2011

Computing the Mean of Geometric Features Application to the Mean Rotation

Xavier Pennec

Citations: 59 • 1998

Hand-eye calibration with a new linear decomposition algorithm

Ronghua Liang, Jianfei Mao

Citations: 54 • 2008

Calibration method of robot base frame using unit quaternion form

Wei Wang, Fei Liu, Chao Yun

Citations: 47 • 2015

A Survey on the Computation of Quaternions From Rotation Matrices

Soheil Sarabandi, Federico Thomas

Citations: 45 • 2018

Visual SLAM and Moving-object Detection for a Small-size Humanoid Robot

Yin-Tien Wang, Ming-Chun Lin, Rung-Chi Ju

Citations: 44 • 2010

On Closed-Form Formulas for the 3-D Nearest Rotation Matrix Problem

Soheil Sarabandi, Arya Shabani, Josep M. Porta, Federico Thomas

Citations: 43 • 2020

Gaussian Mixture Model for 3-DoF orientations

Seungsu Kim, Robert Haschke, Helge Ritter

Citations: 40 • 2016