Results 141 to 150 of about 12,663 (185)
Evolution operators and Euler angles
Il Nuovo Cimento B, 2003 The Euler rotation matrix and angles are derived within a context exploiting evolution operators for vector differential equations.
G. Dattoli, L. Mezi, MIGLIORATI, Mauro
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Euler angles and crystal symmetry
Crystal Research and Technology, 2015 For the description of (single) crystal orientations, e.g. as measured by electron backscatter diffraction (EBSD) & X‐ray diffraction (XRD), Euler angles are still generally used to import and export data. However, because of the lack of standard definitions for the unit cell reference settings and specimen axes, several transformation descriptions
Gert Nolze, Nolze, Gert
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Human-in-the-Loop Control Using Euler Angles
Journal of Intelligent and Robotic Systems: Theory and Applications, 2019In this paper, we proposed a Human-in-the-loop (HITL) control based on the Euler angles solution of the robot end-effector. When humans are in the control loop, we can linearize the Euler angles such that they have direct relation with the joint angles and they are also decoupled. So the Jacobian matrix and the inverse kinematics are not needed.
Adolfo Perrusquía, Wen Yu
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Denavit-Hartenberg Parameterization of Euler Angles
Journal of Computational and Nonlinear Dynamics, 2012Euler angles describe rotations of a rigid body in three-dimensional Cartesian space, as can be obtained by, say, a spherical joint. The rotation carried out by a spherical joint can also be expressed by using three intersecting revolute joints that can be described using the popular Denavit-Hartenberg (DH) parameters.
Suril V Shāh +2 more
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How to Draw Euler Angles and Utilize Euler Parameters
Volume 2: 30th Annual Mechanisms and Robotics Conference, Parts A and B, 2006This article presents a way to draw Euler angles such that the proper operation and application becomes immediately clear. Furthermore, Euler parameters, which allow a singularity-free description of rotational motion, are discussed within the frame-work of quaternion algebra and are applied to the kinematics and dynamics of a rigid body.
A. L. Schwab, J. P. Meijaard
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Euler angles: conversion of arbitrary rotation sequences to specific rotation sequence
Computer Animation and Virtual Worlds, 2014 Euler angles have been used to describe the orientation of objects in two-dimensional and three-dimensional spaces since its formulation by Leonhard Euler. Many applications intended to represent the rotation of a body have been developed on the basis of
Logah Perumal
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Journal of Biomechanics, 2010 Video-based field methods that estimate L5/S1 net joint moments from kinematics based on interpolation in the sagittal plane of joint angles alone can introduce a significant error on the interpolated joint angular trajectory when applied to asymmetric ...
Xu Xu, Chien-Chi Chang, Gert S Faber
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Symmetry in the Space of Euler Angles
Kristall und Technik, 1974AbstractFor the analysis and description of textures the orientation distribution function f(g) is used. Orientations g as points in “orientation space” are usually characterized by the Euler angles φ1, Θ, φ2. The symmetries of the function f(g) result from the symmetries of the crystal and those of the specimen.The symmetries in orientation space ...
J. Pospiech, A. Gnatek, K. Fichtner
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Performing Euler angle rotations in cad systems
Computer-Aided Design, 1995The elementary result of this note can be extended and proved as follows. Let \(A\), \(B\) be the matrix representations of two linear transformations acting on a space \(V\) relative to a frame \(e\). Then the representation of the map of \(B\) in the frame \(Ae\) is \(B'= A^{-1} BA\). Hence, \(AB'= BA\). By induction, let \(A_ i'= (A_ 1\cdots A_{i-1})
Y. T. Lee, A. S. Koh
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