Results 61 to 70 of about 542 (165)

Commutative Quaternion Algebra with Quaternion Fourier Transform-Based Alpha-Rooting Color Image Enhancement

Computers
In this paper, we describe the associative and commutative algebra or the (2,2)-model of quaternions with application in color image enhancement. The method of alpha-rooting, which is based on the 2D quaternion discrete Fourier transform (QDFT) is ...
Artyom M. Grigoryan, Alexis A. Gomez
doaj   +1 more source

Solution of the Optimization Problem of Magnetotelluric Sounding in Quaternions by the Differential Evolution Method

Computation
The article discusses the application of quaternion Fourier transforms and quaternion algebra to transform Maxwell’s equations. This makes it possible to present the problem of magnetotelluric sensing (MTS) in a more convenient form for research. Studies
Syrym E. Kasenov, Zhanar E. Demeubayeva, Nurlan M. Temirbekov, Laura N. Temirbekova   +3 more
doaj   +1 more source

Dual Quaternion-Based Dynamic Modeling and Adaptive Neural Identification for Load-Assist Exoskeletons

IEEE Access
This article addresses the challenge of modeling and controlling load-assist exoskeletons operating under dynamic and uncertain conditions. Traditional approaches often rely solely on dual quaternions for kinematic modeling, limiting their applicability ...
Angel Eduardo Zamora-Suarez, Fermin Castillo Anaya, Pamela Patricia Vera-Tizatl, Rosalio Reyes   +3 more
doaj   +1 more source

A Simultaneous Decomposition for a Quaternion Tensor Quaternity with Applications

Mathematics
Quaternion tensor decompositions have recently been the center of focus due to their wide potential applications in color data processing. In this paper, we establish a simultaneous decomposition for a quaternion tensor quaternity under Einstein product.
Jia-Wei Huo, Yun-Ze Xu, Zhuo-Heng He
doaj   +1 more source

K2 of quaternion algebras

Journal of Algebra, 1979
Alperin, R.C, Dennis, R.Keith
openaire   +2 more sources

Quaternion-Domain Super MDS for Robust 3D Localization

IEEE Open Journal of Signal Processing
This paper proposes a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quaternion-domain super multi-dimensional scaling (QD-SMDS).
Alessio Lukaj, Keigo Masuoka, Takumi Takahashi, Giuseppe Thadeu Freitas de Abreu, Hideki Ochiai   +4 more
doaj   +1 more source

On application of algebra of quaternions I [PDF]

International Journal of Scientific and Research Publications (IJSRP), 2021
Emran Sasi Althabit, Ismail.M. Mohamed
openaire   +2 more sources

Co-rotational 3D shell element using quaternion algebra to account for large rotations: Static and dynamic applications

Forces in Mechanics
This paper presents a new co-rotational shell element based on quaternion algebra as a means of parameterizing large rotations. The co-rotational framework is suitable for beam or shell elements and has been extensively studied in the literature.
Stéphane Grange, David Bertrand
doaj   +1 more source

Quaternionic Bundles on Algebraic Spheres

Rocky Mountain Journal of Mathematics, 1996
It has remained an open question for many years whether there is a bijection between algebraic and topological vector bundles on spheres. If one denotes by \(\mathbb{F}\) one of the (skew) fields \(\mathbb{R}\), \(\mathbb{C}\) or \(\mathbb{H}\) and by \(A_n\) the coordinate ring \(\mathbb{R}[x_0,\dots,x_n]/(\sum x^2_1-1)\) of the sphere, then the more ...
openaire   +2 more sources

Reply to Bektaş, S. Comment on “Ioannidou, S.; Pantazis, G. Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra. ISPRS Int. J. Geo-Inf. 2020, 9, 494”

ISPRS International Journal of Geo-Information
The comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in
George Pantazis, Stefania Ioannidou
doaj   +1 more source