Results 31 to 40 of about 1,800 (293)
A Power Method for Computing the Dominant Eigenvalue of a Dual Quaternion Hermitian Matrix [PDF]
Journal of Scientific ComputingChunfeng Cui, Liqun Qi
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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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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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Construction of dual-generalized complex Fibonacci and Lucas quaternions
Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
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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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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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Robust Dual-Color Watermarking Based on Quaternion Singular Value Decomposition
IEEE Access, 2020 This paper proposes a robust dual-color watermarking based on quaternion singular value decomposition (QSVD), which can embed large payloads into color images with low distortion, and can obtain strong robustness to process color image in a holistic ...
Yong Chen +3 more
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Functional Calculus for Dual Quaternions
Advances in Applied Clifford Algebras, 2023 We give a formula for $f(η)$, where $f :\mathbb C \to \mathbb C$ is a continuously differentiable function satisfying $f(\bar z) = \overline{f(z)}$, and $η$ is a dual quaternion. Note this formula is straightforward or well known if $η$ is merely a dual number or a quaternion.
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A new proof of the generalized Hamiltonian–Real calculus [PDF]
Royal Society Open Science, 2016 The recently introduced generalized Hamiltonian–Real (GHR) calculus comprises, for the first time, the product and chain rules that makes it a powerful tool for quaternion-based optimization and adaptive signal processing.
Dongpo Xu, Hua Gao, Danilo P. Mandic
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Quaternionic and Dual Quaternionic Darboux Ruled Surfaces
Turkish Journal of Mathematics and Computer Science, 2021 In this paper, firstly the ruled surface drawn by the Darboux vector is expressed as a quaternion. Then, the spatial quaternionic definition of the striction curve is given and the integral invariants of the surface are calculated. Finally, the ruled surface which corresponds to a dual curve drawn by a dual Darboux vector is derived with the help of ...
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