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
On the Euler angles for SU(N) [PDF]
Journal of Mathematical Physics, 2005 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 ...
S. Bertini +2 more
semanticscholar +8 more sources
Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra [PDF]
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 +3 more sources
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
doaj +3 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.
Philipp Allgeuer, Sven Behnke
semanticscholar +6 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
On Generalized Euler Angles [PDF]
, 2015 Trabajo presentado a la 5th European Conference on Mechanism Science (EUCOMES) celebrada del 16 al 20 de septiembre de 2014 en Guimarães (Portugal).This paper first explores the generalization of Euler angles to the case in which the rotation axes are ...
A. Rull, F. Thomas
semanticscholar +8 more sources
Analytical Formulation of Relationship Between Sensors and Euler Angle Errors for Arbitrary Stationary Alignment Based on Accelerometer and Magnetometer [PDF]
SensorsAn attitude and heading reference system (AHRS) based on the inertial measurement unit is crucial for various applications. In an AHRS, stationary alignments are performed to determine the initial orientation of the sensor frame with respect to the ...
Chang June Lee, Jung Keun Lee
doaj +4 more sources
A Decoupling Method for Successive Robot Rotation Based on Time Domain Instantaneous Euler Angle [PDF]
Mathematics, 2023 In the present study, a novel time domain decoupling method was proposed for the multiple successive rotations of different kinds of robots. This is achieved through the utilization of instantaneous Euler angles.
Xin Zhou, Jianxu Zhu
doaj +2 more sources
Compact Lie Groups, Generalised Euler Angles, and Applications
Universe, 2022 This is mainly a review of an intense 15-year long collaboration between the authors on explicit realisations of compact Lie groups and their applications.
Sergio Luigi Cacciatori, Antonio Scotti
doaj +2 more sources