Results 251 to 260 of about 982,655 (280)

Dual quaternions and dual projective spaces

Chaos, Solitons & Fractals, 2009
Abstract In this study, dual unitary matrices SUD(2) were obtained. We correspond to one to one elements of the unit dual sphere S D 3 with the dual unitary matrices SUD(2). Thus, we express spherical concepts such as meridians of longitude and parallels of latitude on SUD(2).
Ata, Erhan, Yaylı, Yusuf
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Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices

Advances in Applied Clifford Algebras, 2015
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Erdoğdu, Melek, Özdemir, Mustafa
openaire   +1 more source

Dual Quaternion Involutions and Anti-Involutions

Advances in Applied Clifford Algebras, 2013
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Bekar, MURAT, Yayi, Yusuf
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On properties of the dual quaternions

2011
Summary: In this paper, Euler's and De Moivre's formulas for complex numbers and quaternions are generalized for the dual quaternions. Also, the matrix representation of dual quaternions is expressed.
YÜCE, Salim, Ercan, Zeynep
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Bulging‐free dual quaternion skinning

Computer Animation and Virtual Worlds, 2014
ABSTRACTThe linear blend skinning has been the most popular skeletal animation algorithm and also notorious for the collapsing‐joint and candy‐wrapper artifacts. The dual quaternion skinning (DQS) successfully resolves the problems, but it reveals its own artifacts, which we name bulging joint and distorted normal.
YoungBeom Kim, JungHyun Han
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Quaternion Modulation for Dual-Polarized Antennas

IEEE Communications Letters, 2017
This letter presents a new modulation scheme for dual-polarized antennas based on the theory of quaternion. First, we introduce the concept of quaternions to represent states of polarized antennas and data transmission. Second, we describe a detector based on the quaternion expression for polarized wireless systems and its corresponding theoretical ...
Jian-Feng Gu, Ke Wu
openaire   +2 more sources

Generalized dual Fibonacci quaternions

2016
Summary: In this paper, we defined the generalized dual Fibonacci quaternions. Also, we investigated the relations between different generalized dual Fibonacci quaternions. Furthermore, we gave the Binet's formulas and Cassini identities for these quaternions.
Yuce, Salim, Torunbalcı Aydın, Fügen
openaire   +2 more sources

Quaternionic Subspace Gabor Frames and Their Duals

Advances in Applied Clifford Algebras
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Li, Yun-Zhang, Zhang, Xiao-Li
openaire   +1 more source

Dual quaternion matrices and MATLAB applications

2018
Summary: There are many studies in the literature on real quaternions and real quaternion matrices. There are few studies in the literature on dual quaternions. Definitions of the matrices of dual quaternions used in this study will be given. The originality of our research, the set of dual quaternion matrix we studied, will be defined for the first ...
Nalbant, Kemal Gokhan, Yuce, Salim
openaire   +4 more sources

Standard Dual Quaternion Optimization and Its Applications in Hand-Eye Calibration and SLAM

Communications on Applied Mathematics and Computation, 2022
Liqun Qi
exaly