An anthropometric-based method for the assessment of pelvis position in three-dimensional space
MethodsX, 2022 Determining the pelvis position remains a challenge for clinical therapists and researchers mainly due to the difficulty in assessing its potential triaxial rotations in the upright standing posture.
D. Mandalidis, PhD +2 more
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Approximate representations of shaped pulses using the homotopy analysis method [PDF]
Magnetic Resonance, 2021 The evolution of nuclear spin magnetization during a radiofrequency pulse in the absence of relaxation or coupling interactions can be described by three Euler angles. The Euler angles, in turn, can be obtained from the solution of a Riccati differential
T. Crawley, A. G. Palmer III
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Mapping the Tilt and Torsion Angles for a 3-SPS-U Parallel Mechanism
Robotics, 2023 This article presents the analysis of a parallel mechanism of type 3-SPS-U. The usual singularity approach is carried out with respect to the Euler angles of the universal joint. However, this approach is computationally expensive especially when stacked
Swaminath Venkateswaran, Damien Chablat
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Fluctuating Elastic Rings: Statics and Dynamics [PDF]
, 2000 We study the effects of thermal fluctuations on elastic rings. Analytical expressions are derived for correlation functions of Euler angles, mean square distance between points on the ring contour, radius of gyration, and probability distribution of ...
A.A. Podtelezhnikov +26 more
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On a method of nonlinear optimization for the comparison of spatial structure of molecules [PDF]
Yugoslav Journal of Operations Research, 2020 To compare the geometry of two or more geometric structures consisting of N ordered points, and which can be considered as solids in three-dimensional space, we developed a method based on the minimization of a certain comparison function.
Chernikova Natalia Yu. +1 more
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Rotacija z enotskim kvaternionom ( = Rotation with unit quaternion) [PDF]
Geodetski Vestnik, 2014 A quaternion is a hyper-complex number. A rule for quaternion multiplications allows us to use it as a rotation in three-dimensional space. The aim of this article is to present quaternion rotations to the Slovene professional geodetic public ...
Klemen Kregar +2 more
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Rotation Representations and Their Conversions
IEEE Access, 2023 A rigid body motion, which can be decomposed into rotation and translation, is essential for engineers and scientists who deal with moving systems in a space.
Soohwan Kim, Minkyoung Kim
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Resolution of Functional Redundancy for 3T2R Robot Tasks using Two Sets of Reciprocal Euler Angles
Advances in Mechanism and Machine Science, 2019 Moritz Schappler, S. Tappe, T. Ortmaier
semanticscholar +3 more sources
Evaluating the Feasibility of Euler Angles for Bed-Based Patient Movement Monitoring
Signals, 2023 In the field of modern healthcare, technology plays a crucial role in improving patient care and ensuring their safety. One area where advancements can still be made is in alert systems, which provide timely notifications to hospital staff about critical
Jonathan Mayer +6 more
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Characterizations of Framed Curves in Four-Dimensional Euclidean Space
Universal Journal of Mathematics and Applications, 2021 Framed curves in Euclidean space are used to investigate singular curves and are important for singularity theory. In this study, framed curves in four-dimensional Euclidean space are introduced and new results are obtained. The relation of framed curves
Bahar Doğan Yazıcı +2 more
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