Results 61 to 70 of about 245,475 (190)
Fractional Quaternion Zernike Moments for Robust Color Image Copy-Move Forgery Detection
IEEE Access, 2018 In this paper, fractional Zernike moments (FrZMs) for complex signals are generalized to fractional quaternion Zernike moments (FrQZMs) for quaternion signal processing in a holistic manner by the quaternion algebra.
Beijing Chen +4 more
doaj +1 more source
IEEE Access, 2020 The global exponential stability of commutative quaternion-valued neural networks (CQVNNs) with time varying delays is investigated in this paper. Considering that the Schwartz triangle inequality is not satisfied in the commutative quaternion field, the
Dongyuan Lin +3 more
doaj +1 more source
Universal approach to derivation of quaternion rotation formulas [PDF]
MATEC Web of Conferences, 2019 This paper introduces and defines the quaternion with a brief insight into its properties and algebra. The main part of this paper is devoted to the derivation of basic equations of the vector rotation around each rotational x, y, z axis.
Chudá Hana
doaj +1 more source
Mathematical and Computational ApplicationsQuadratic phase disperses the spectrum of chirped multicomponent data and can defeat the ordinary Stockwell analysis. We formulate a right-sided Cl(0,2)-valued linear canonical Stockwell transform (CLCST) on a positive real Hilbert space, using standard ...
Yi-Qiao Xu, Bing-Zhao Li
doaj +1 more source
The orthogonal µ-invariant of a quaternion algebra
, 2010 In quadratic form theory over fields, a much studied field invariant is the u-invariant, defined as the supremum over the dimensions of anisotropic quadratic forms over the field.
Becher, Karim Johannes +1 more
core +1 more source
Roots of unity in definite quaternion orders [PDF]
, 2015 Artículo de publicación ISIA commutative order in a quaternion algebra is called selective if it is embeds into some, but not all, the maximal orders in the algebra.
Arenas Carmona, Luis
core +1 more source
On quaternion analyticity : enabling quaternion-valued nonlinear adaptive filtering.
, 2012 The strict Cauchy-Riemann-Fueter (CRF) analyticity conditions establish that only linear quaternion-valued functions are analytic, prohibiting the development of quaternion-valued nonlinear adaptive filters for the recurrent neural network architecture ...
Clive Cheong Took +8 more
core +2 more sources
Topics in quaternion linear algebra
, 2014 Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering ...
Rodman, Leiba, Leiba Rodman
core +1 more source
The Rota-Baxter algebra structures on split semi-quaternion algebra [PDF]
In this paper, we shall describe all the Rota-Baxter operators with any weight on split semi-quaternion algebra. Firstly, we give the matrix characterization of the Rota-Baxter operator on split semi-quaternion algebra.
Quanguo, Chen, Yong, Deng
core
Multi-body kinematics and dynamics in terms of quaternions: Langrange formulation in covariant form: Rodriguez approach [PDF]
FME Transactions, 2010 This paper suggests a quaternion approach for the modeling kinematics and dynamics of rigid multi-body systems. Instead of the regular 'Newton-Euler' and Lagrange method used in the traditional way, Lagrange's equations of second kind in the covariant ...
Zorić Nemanja D. +2 more
doaj