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Improving the Precision and Speed of Euler Angles Computation from Low-Cost Rotation Sensor Data [PDF]
Sensors, 2015 This article compares three different algorithms used to compute Euler angles from data obtained by the angular rate sensor (e.g., MEMS gyroscope)—the algorithms based on a rotational matrix, on transforming angular velocity to time derivations of the ...
Aleš Janota +3 more
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On the Euler angles for SU(N) [PDF]
Journal of Mathematical Physics, 2006 In this paper we reconsider the problem of the Euler parametrization for the unitary groups. After constructing the generic group element in terms of generalized angles, we compute the invariant measure on SU(N) and then we determine the full range of the parameters, using both topological and geometrical methods.
STEFANO BERTINI +2 more
semanticscholar +8 more sources
Quaternion to Euler angles conversion: A direct, general and computationally efficient method. [PDF]
PLoS One, 2022 Current methods of the conversion between a rotation quaternion and Euler angles are either a complicated set of multiple sequence-specific implementations, or a complicated method relying on multiple matrix multiplications.
Bernardes E, Viollet S.
europepmc +4 more sources
Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra
ISPRS International Journal of Geo-Information, 2020 The three-dimensional coordinate’s transformation from one system to another, and more specifically, the Helmert transformation problem, is one of the most well-known transformations in the field of engineering.
Stefania Ioannidou, George Pantazis
doaj +4 more sources
On Generalized Euler Angles [PDF]
, 2014 This paper first explores the generalization of Euler angles to the case in which the rotation axes are not necessarily members of an orthonormal triad, and presents a concise solution to their computation that relies on the calculation of standard Euler angles.
Aleix Rull, Federico Thomas
semanticscholar +8 more sources
Efficient in silico exploration of RNA interhelical conformations using Euler angles and WExplore. [PDF]
Nucleic Acids Res, 2014 HIV-1 TAR RNA is a two-helix bulge motif that plays a critical role in HIV viral replication and is an important drug target. However, efforts at designing TAR inhibitors have been challenged by its high degree of structural flexibility, which includes ...
Dickson A +3 more
europepmc +4 more sources
Correction to the Euler Lagrange Multirotor Model with Euler Angles Generalized Coordinates [PDF]
Journal of Intelligent & Robotic Systems, 2023 AbstractThis technical note proves analytically how the exact equivalence of the Newton-Euler and Euler-Lagrange modeling formulations as applied to multirotor UAVs is achieved. This is done by deriving a correct Euler-Lagrange multirotor attitude dynamics model.
Simone Martini +4 more
openaire +4 more sources
Journal of Mathematical Physics, 2005 We provide a simple coordinatization for the group G2, which is analogous to the Euler coordinatization for SU(2). We show how to obtain the general element of the group in a form emphasizing the structure of the fibration of G2 with fiber SO(4) and base H, the variety of quaternionic subalgebras of octonions.
Cacciatori, S +4 more
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Quantum Euler angles and agency-dependent space-time [PDF]
Progress of Theoretical and Experimental Physics, 2022 Abstract Quantum gravity is expected to introduce quantum aspects into the description of reference frames. Here we begin exploring how quantum gravity induced deformations of classical symmetries could modify the transformation laws among reference frames in an effective regime.
G Amelino-Camelia +5 more
openaire +5 more sources
Fused Angles and the Deficiencies of Euler Angles [PDF]
2018 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS), 2018 Just like the well-established Euler angles representation, fused angles are a convenient parameterisation for rotations in three-dimensional Euclidean space. They were developed in the context of balancing bodies, most specifically walking bipedal robots, but have since found wider application due to their useful properties.
Allgeuer, Philipp, Behnke, Sven
openaire +4 more sources