Results 21 to 30 of about 54,660 (273)

A Survey on the Computation of Quaternions From Rotation Matrices

Journal of Mechanisms and Robotics, 2019
The parameterization of rotations is a central topic in many theoretical and applied fields such as rigid body mechanics, multibody dynamics, robotics, spacecraft attitude dynamics, navigation, three-dimensional image processing, and computer graphics ...
Soheil Sarabandi, F. Thomas
semanticscholar   +1 more source

On the Bicomplex Generalized Tribonacci Quaternions

Mathematics, 2019
In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet’s formula, generating functions, and the summation formula for this type of quaternion are given.
Can Kizilates, P. Catarino, Naim Tuglu
semanticscholar   +1 more source

Quaternion Hermitian Planes [PDF]

Results in Mathematics, 1993
The quaternion hermitian planes are defined, and are characterized by certain groups of automorphisms. For this purpose, characterizations of locally compact connected translation planes (in the context of stable planes) and compact connected projective desarguesian planes are given.
openaire   +3 more sources

About special elements in quaternion algebras over finite fields

, 2016
In this paper we study special Fibonacci quaternions and special generalized Fibonacci-Lucas quaternions in quaternion algebras over finite fields.Comment: This is a preliminary form of the ...
Savin, Diana
core   +1 more source

A Review on the Applications of Dual Quaternions

Machines
This work explores dual quaternions and their applications. First, a theoretical construction begins at dual numbers, extends to dual vectors, and culminates in dual quaternions.
João Gutemberg Farias, Edson De Pieri, Daniel Martins   +2 more
semanticscholar   +1 more source

Quaternionic wave function [PDF]

International Journal of Modern Physics A, 2019
We argue that quaternions form a natural language for the description of quantum-mechanical wave functions with spin. We use the quaternionic spinor formalism which is in one-to-one correspondence with the usual spinor language. No unphysical degrees of freedom are admitted, in contrast to the majority of literature on quaternions.
openaire   +2 more sources

Quaternion Algebras and Generalized Fibonacci–Lucas Quaternions [PDF]

Advances in Applied Clifford Algebras, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Flaut, Cristina, Savin, Diana
openaire   +1 more source

Real matrix representations for the complex quaternions

, 2013
Starting from known results, due to Y. Tian in [Ti; 00], referring to the real matrix representations of the real quaternions, in this paper we will investigate the left and right real matrix representations for the complex quaternions and we give some ...
Flaut, Cristina, Shpakivskyi, Vitalii
core   +1 more source

Commutative Quaternion Matrices

, 2013
In this study, we introduce the concept of commutative quaternions and commutative quaternion matrices. Firstly, we give some properties of commutative quaternions and their Hamilton matrices.
Kösal, Hidayet Hüda, Tosun, Murat
core   +1 more source

Integrating Rotations Using Nonunit Quaternions

IEEE Robotics and Automation Letters, 2018
In this letter, we propose and demonstrate a method for integration of rotations using nonunit quaternions. Unit quaternions are commonly used to represent rotation, in which case the rotation operation involves the conjugate of the unit quaternion ...
Caleb D. Rucker
semanticscholar   +1 more source