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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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Approaching dual quaternions from matrix algebra [PDF]
, 2016 Dual quaternions give a neat and succinct way to encapsulate both translations and rotations into a unified representation that can easily be concatenated and interpolated.
Thomas, Federico
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Dual Quaternions for Rigid Transformation Blending
Quaternions have been a popular tool in 3D computer graphics for more than 20 years. However, classical quaternions are restricted to the representation of rotations, whereas in graphical applications we typically work with rotation composed with ...
Kavan, L +3 more
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Hyper-Dual Leonardo Quaternions
Journal of New TheoryIn this paper, hyper-dual Leonardo quaternions are defined and studied. Some basic properties of the hyper-dual Leonardo quaternions, including their relationships with the hyper-dual Fibonacci quaternions and hyper-dual Lucas quaternions, are analyzed ...
Tülay Yağmur
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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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Solution of an inverse kinematics problem using dual quaternions
International Journal of Applied Mathematics and Computer Science, 2020 The paper proposes a solution to an inverse kinematics problem based on dual quaternions algebra. The method, relying on screw theory, requires less calculation effort compared with commonly used approaches.
Chen Lei +3 more
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Dual-Quaternion Fourier Transform
CoRR, 2023 Fourier transform (FT) plays a crucial role in a broad range of applications, from enhancement, restoration and analysis through to security, compression and manipulation. The Fourier transform (FT) is a process that converts a function into a form that describes the frequencies.
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Quaternion modeling of the helical path for analysis of the shape of the DNA molecule
Вавиловский журнал генетики и селекции, 2018 The threedimensional shape of a DNA molecule is a key property influencing its functional specificity and the nature of its molecular interactions. The characteristic shape into which a DNA molecule folds under certain conditions is a manifestation of ...
A. F. Muterko
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Dual-Quaternion-Based SLERP MPC Local Controller for Safe Self-Driving of Robotic Wheelchairs
Robotics, 2023 In this work, the motion control of a robotic wheelchair to achieve safe and intelligent movement in an unknown scenario is proposed. The primary objective is to develop a comprehensive framework for a robotic wheelchair that combines a global path ...
Daifeng Wang +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Adult survivors of childhood acute lymphoblastic leukemia (ALL) are at risk of reduced exercise capacity, decreased physical activity levels, persistent fatigue, and neurocognitive deficits. The aim was to investigate exercise capacity and physical activity levels of adult survivors of childhood ALL and their associations with ...
Laura Jess +5 more
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