Results 21 to 30 of about 12,646 (309)

Color face recognition using quaternion PCA [PDF]

open access: yes, 2011
Recently, biometric systems have attracted the attention of both academic and industrial communities. Advances in hardware and software technologies have paved the way to such growing interest.
Jaha, Emad Sami   +3 more
core   +1 more source

On balancing quaternions and Lucas-balancing quaternions

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2021
In this paper we define and study balancing quaternions and Lucas-balancing quaternions. We give the generating functions, matrix generators and Binet formulas for these numbers. Moreover, the well-known properties e.g. Catalan, d’ Ocagne identities have been obtained for these quaternions.
openaire   +2 more sources

An Algebraic Relation between Consimilarity and Similarity of Quaternion Matrices and Applications

open access: yesJournal of Applied Mathematics, 2014
This paper, by means of complex representation of a quaternion matrix, discusses the consimilarity of quaternion matrices, and obtains a relation between consimilarity and similarity of quaternion matrices.
Tongsong Jiang, Xuehan Cheng, Sitao Ling
doaj   +1 more source

Quaternion-Type Catalan Transforms of the ρ-Fibonacci and ρ-Lucas Numbers

open access: yesJournal of Mathematics, 2023
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties.
Kübra Gül
doaj   +1 more source

QUATERNIONIC COUPLING [PDF]

open access: yesInternational Journal of Pure and Apllied Mathematics, 2014
Physics is in its development a major challenge to relate fields, this paper presents a proposal to relate classical fields of physics, ie the electric field, magnetic field and gravitational equations by time-dependent. The proposal begins with the work that determines the Cauchy-Riemann conditions for quaternions [1], and the determination of Laplace’
Marão, José Antonio Pires   +1 more
openaire   +3 more sources

An investigation into the accuracy of calculating upper body joint angles using MARG sensors [PDF]

open access: yes, 2014
We investigate magnetic, angular rate, and gravity (MARG) sensor modules for deriving shoulder, elbow and lumbar joint angles of the human body. We use three tri-axial MARG sensors, placed proximal to the wrist and elbow and centrally on the chest, and ...
Cranny, A   +9 more
core   +1 more source

Signal flow graph and control of realizable autonomous nonlinear Chen model with quaternion variables

open access: yesAlexandria Engineering Journal, 2020
In this work, we continue our study of autonomous nonlinear dynamical systems with quaternion variables. We present a novel chaotic Chen system with quaternion variables. This system in real form is high (nine) dimensional.
Emad E. Mahmoud   +2 more
doaj   +1 more source

Distributed hybrid unit quaternion localisation of camera networks [PDF]

open access: yes, 2023
openSeveral dynamical systems evolve on angular type of variables, such as the pose of rigid bodies or optimization techniques applied to variables of unitary norms.
CALLEGARI, SARA
core  

ELEMENTS OF QUATERNIONS

open access: yesScience, 1881
n ...
Hardy, A. S., Christie, A. S.
openaire   +2 more sources

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