Results 291 to 300 of about 2,080 (316)

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
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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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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
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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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Spherical skinning with dual quaternions and QTangents

ACM SIGGRAPH 2011 Talks, 2011
Building upon previous work with Dual Quaternion skinning [KAVAN 2008], we will introduce a new format to represent tangent frames.
Ivo Zoltan Frey, Ivo Herzeg
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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
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Quaternionic Subspace Gabor Frames and Their Duals

Advances in Applied Clifford Algebras
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Li, Yun-Zhang, Zhang, Xiao-Li
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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
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On the E. Study maps for the dual quaternions

2021
Summary: In this study, the generalization of the well-known E. Study map for unit dual quaternion vectors in \(H_{\mathbb{D}}^3\) is obtained, where \(\mathbb{D}\) and \(H_{\mathbb{D}}\) are sets of dual numbers and dual quaternions, respectively.
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