Results 21 to 30 of about 994 (259)
CoRR, 2023 Transformations in the field of computer graphics and geometry are one of the most important concepts for efficient manipulation and control of objects in 2-dimensional and 3-dimensional space. Transformations take many forms each with their advantages and disadvantages.
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Dual Quaternion Embeddings for Link Prediction
Applied Sciences, 2021 The applications of knowledge graph have received much attention in the field of artificial intelligence. The quality of knowledge graphs is, however, often influenced by missing facts.
Liming Gao +3 more
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 2010 Summary: Serret-Frenet and parallel-transport frame are produced with the help of reel quaternions again by \textit{A. J. Hanson} [Quaternion Frenet frames: making optimal tubes and ribbons from curves (1994)]. In this study, calculations mentioned above are applied to dual quaternions and the Serret-Frenet and parallel-transport frame are obtained by ...
ÖZTÜRK, Ufuk +3 more
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Dual transformations and quaternions
Mathematical Methods in the Applied Sciences, 2021 In this study, we are interested in the way quaternions to represent 3D and 4D rotations in Lorentzian space. We give a new method for obtaining a rotation matrix in Lorentzian space with the help of a unit quaternion. Furthermore, we prove that rotation matrices correspond to a quaternion leave invariant the same axis in Euclidean and Lorentzian space.
Gülsüm Yüca, Yusuf Yaylı
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Dual-channel Quaternion Convolutional Network for Denoising [PDF]
Jisuanji kexue yu tansuo, 2023 The color image denoising based on deep learning usually uses convolution on each channel, and then merges multi-channel data into single channel data. This method does not fully consider the spectral correlation between color channels, which may casuse ...
CAO Yiqin, RAO Zhechu, ZHU Zhiliang, WAN Sui
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Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne's identity, Cassini's identity and Catalan's identity for these quaternions were given.
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A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients [PDF]
Mathematics, 2020 This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E.
Emel Karaca +2 more
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DUAL QUATERNIONIC REGULAR FUNCTION OF DUAL QUATERNION VARIABLES
The Pure and Applied Mathematics, 2016 Abstract. We give representations of difierential operators and rules for additionand multiplication of dual quaternions. Also, we research the notions and propertiesof a regular function and a corresponding harmonic function with values in dualquaternions of Clifiord analysis. 1.
JI EUN KIM, KWANG HO SHON
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International Journal of Advanced Robotic Systems, 2011 In this paper, we compare three inverse kinematic formulation methods for the serial industrial robot manipulators. All formulation methods are based on screw theory.
Emre Sariyildiz +2 more
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THE CORRESPONDING CAUCHY - RIEMANN SYSTEM FOR DUAL QUATERNION-VALUED FUNCTIONS
Проблемы анализа, 2018 This paper provides differential operators in dual quaternions and represents the regularity of dual quaternionvalued functions using the dual Cauchy - Riemann system in dual quaternions.
Kim J.E.
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