Quaternion algebra

Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review

Kerry W. Spring

Citations: 207 • 1986

Approaching Dual Quaternions From Matrix Algebra

Federico Thomas

Citations: 104 • 2014

Clifford Support Vector Machines for Classification, Regression, and Recurrence

Eduardo Bayro–Corrochano, Nancy Arana‐Daniel

Citations: 84 • 2010

Geometric Computing: for Wavelet Transforms, Robot Vision, Learning, Control and Action

Eduardo Bayro–Corrochano

Citations: 82 • 2010

Geometric computing with Clifford algebras: theoretical foundations and applications in computer vision and robotics

Gerald Sommer

Citations: 69 • 2001

A Comparative Study of Three Inverse Kinematic Methods of Serial Industrial Robot Manipulators in the Screw Theory Framework

Emre Sarıyıldız, Eray Cakiray, Hakan Temeltaş

Citations: 53 • 2011

Bruno Vilhena Adorno, Murilo M. Marinho

Citations: 42

Robot Kinematic Modeling and Control Based on Dual Quaternion Algebra --- Part I: Fundamentals.

Bruno Vilhena Adorno

Citations: 41 • 2017

A Comparative Study of the Kinematics of Robots Manipulators by Denavit-Hartenberg and Dual Quaternion

Luiz A. Radavelli, Roberto Simoni, Edson De Pieri, Daniel Fernandes Martins

Citations: 26 • 2012

Dual quaternion operations for rigid body motion and their application to the hand–eye calibration

Xiao Wang, Haoxiang Sun, Cheng‐Lin Liu, Hanwen Song

Citations: 25 • 2023

Quaternion Spiking and Quaternion Quantum Neural Networks: Theory and Applications

Eduardo Bayro–Corrochano, Samuel Solis-Gamboa, Guillermo Altamirano-Escobedo, Luis Lechuga-Gutierres, Jorge Lisarraga-Rodriguez

Citations: 23 • 2020

A Novel Method for Representing Robot Kinematics using Quaternion Theory

Sujit K. Sahu, Bharat B. Biswal, Bidyadhar Subudhi

Citations: 22 • 2008

Comparison of high-dimensional neural networks using hypercomplex numbers in a robot manipulator control

Kazuhiko Takahashi

Citations: 21 • 2021

Geometric techniques for robotics and HMI: Interpolation and haptics in conformal geometric algebra and control using quaternion spike neural networks

Eduardo Bayro–Corrochano, Luis Lechuga-Gutiérrez, Marcela Garza-Burgos

Citations: 20 • 2018

A new formulation method for solving kinematic problems of multiarm robot systems using quaternion algebra in the screw theory framework

Emre Sarıyıldız, Hakan Temeltaş

Citations: 20 • 2012

Eigenvalues and Singular Values of Dual Quaternion Matrices

Liqun Qi, Ziyan Luo

Citations: 20 • 2021

Quaternion Attitude Control System of Highly Maneuverable Aircraft

Michał Gołąbek, Michał Welcer, Cezary Szczepański, Mariusz Krawczyk, Albert Zajdel, Krystian Borodacz

Citations: 15 • 2022

On the learning machine with quaternionic domain neural network and its high-dimensional applications

Sushil Kumar, Bipin Kumar Tripathi

Citations: 7 • 2019

Fast Study Quadric Interpolation in the Conformal Geometric Algebra Framework

Gerardo Martinez-Terán, Oswaldo Ureña-Ponce, Gerardo Soria-García, Susana Ortega Cisneros, Eduardo Bayro–Corrochano

Citations: 7 • 2022

Quaternion Spike Neural Networks

Luis Lechuga-Gutiérrez, Eduardo Bayro–Corrochano

Citations: 7 • 2016