Results 221 to 230 of about 994 (259)
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Split Quaternion Matrix Representation of Dual Split Quaternions and Their Matrices
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Melek Erdogdu +2 more
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Involutions in Dual Split-Quaternions
Advances in Applied Clifford Algebras, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayli, Yusuf
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Dual Quaternion Knowledge Graph Embeddings
Proceedings of the AAAI Conference on Artificial Intelligence, 2021In this paper, we study the problem of learning representations of entities and relations in the knowledge graph for the link prediction task. Our idea is based on the observation that the vast majority of the related work only models the relation as a single geometric operation such as translation or rotation, which limits the representation power of ...
Zongsheng Cao +4 more
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Dual quaternions and dual projective spaces
Chaos, Solitons & Fractals, 2009Abstract 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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Quaternions and Dual Quaternions: Singularity-Free Multirobot Formation Control
Journal of Intelligent & Robotic Systems, 2016Cluster space control is a method of multirobot formation keeping that considers a group of robots to be a single entity, defining state variables to represent characteristics of the group, such as position, orientation, and shape. This technique, however, suffers from singularities when a minimal state representation is used. This paper presents three
Ignacio Mas, Christopher Kitts
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Dual Quaternion Involutions and Anti-Involutions
Advances in Applied Clifford Algebras, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bekar, MURAT, Yayi, Yusuf
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On properties of the dual quaternions
2011Summary: 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, 2017This 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, 2014ABSTRACTThe 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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