Results 51 to 60 of about 61,849 (347)
The Orthogonal 2D Planes Split of Quaternions and Steerable Quaternion Fourier Transformations [PDF]
, 2013 The two-sided quaternionic Fourier transformation (QFT) was introduced in \cite{Ell:1993} for the analysis of 2D linear time-invariant partial-differential systems.
Hitzer, Eckhard, Sangwine, Stephen J.
core +1 more source
Third-Order Jacobsthal Generalized Quaternions [PDF]
, 2018 In this paper, the third-order Jacobsthal generalized quaternions are introduced. We use the well-known identities related to the third-order Jacobsthal and third-order Jacobsthal-Lucas numbers to obtain the relations regarding these quaternions ...
Gamaliel Cerda-Morales
semanticscholar +1 more source
Camera Pose Filtering with Local Regression Geodesics on the Riemannian Manifold of Dual Quaternions [PDF]
2017 IEEE International Conference on Computer Vision Workshops (ICCVW), 2017 Time-varying, smooth trajectory estimation is of great interest to the vision community for accurate and well behaving 3D systems. In this paper, we propose a novel principal component local regression filter acting directly on the Riemannian manifold of
Benjamin Busam +2 more
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Quaternions and matrices of quaternions
Linear Algebra and its Applications, 1997 AbstractWe give a brief survey on quaternions and matrices of quaternions, present new proofs for certain known results, and discuss the quaternionic analogues of complex matrices. The methods of converting a quaternion matrix to a pair of complex matrices and homotopy theory are emphasized.
openaire +3 more sources
“The Elements of Quaternions” [PDF]
Nature, 1894 IN answer to my reviewer's question (vide p. 154), I must frankly admit that (a) Eq. 8, p. 40, should have been a group of six equations, , , c and that (b) The inference should have been that i, j, &c, are (unequal) square roots of negative unity.
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On Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2011 In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.
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Spacecraft Robot Kinematics Using Dual Quaternions
Robotics, 2018 In recent years, there has been a growing interest in servicing orbiting satellites. In most cases, in-orbit servicing relies on the use of spacecraft-mounted robotic manipulators to carry out complicated mission objectives.
A. Valverde, P. Tsiotras
semanticscholar +1 more source
Quaternions: A Mathematica Package for Quaternionic Analysis [PDF]
, 2011 This paper describes new issues of theMathematica standard package Quaternions for implementing Hamilton's Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions.
Falcão, M. I., Miranda, Fernando
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A note on hyperbolic quaternions
Universal Journal of Mathematics and Applications, 2018 In this work, we introduce hyperbolic quaternions and their algebraic properties. Moreover, we express Euler's and De Moivre's formulas for hyperbolic quaternions.
İşıl Arda Kösal
doaj +1 more source