Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions
Journal of Spatial Science, 2020 Recently, it has been shown how quaternion-based representation of a rotation matrix has advantages over conventional Eulerian representation in 3D similarity transformations.
Sureyya Ozgur Uygur +2 more
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A Direct and Non-Singular UKF Approach Using Euler Angle Kinematics for Integrated Navigation Systems [PDF]
Sensors, 2016 This paper presents a direct and non-singular approach based on an unscented Kalman filter (UKF) for the integration of strapdown inertial navigation systems (SINSs) with the aid of velocity.
Changyan Ran, Xianghong Cheng
doaj +2 more sources
Geometrically exact beam theory without Euler angles
International Journal of Solids and Structures, 2011 AbstractIn modeling highly flexible beams undergoing arbitrary rigid–elastic deformations, difficulties exist in describing large rotations using rotational variables, including three Euler angles, two Euler angles, one principal rotation angle plus three direction cosines of the principal rotation axis, four Euler parameters, three Rodrigues ...
P. Frank Pai
semanticscholar +2 more sources
ISPRS International Journal of Geo-InformationThe comment disputes some of the inferences in the paper “Helmert Transformation Problem. From Euler Angles Method to Quaternion Algebra”, published in this journal. The key points in the dissent are the following: (1) The number of unknown parameters in
George Pantazis, Stefania Ioannidou
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A New Analytical Method to Improve Attitude Correction in Inertial Navigation Systems [PDF]
AUT Journal of Modeling and Simulation, 2022 Inertial Navigation Systems suffer from accumulative errors due to their dead reckoning structure. Consequently, the navigation reset or realigning process of such systems is unavoidable.
Hamed Mohammadkarimi +3 more
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Statistical properties of effective elastic moduli of random cubic polycrystals
Mechanics & Industry, 2023 The homogenized elastic properties of polycrystals depend on the grain morphology and crystallographic orientations. For simplification purposes, the orientations of the grains are usually considered three independent Euler angles.
Sheng Ningyue +3 more
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A Recursive Algorithm for the Forward Kinematic Analysis of Robotic Systems Using Euler Angles
Robotics, 2022 Forward kinematics is one of the main research fields in robotics, where the goal is to obtain the position of a robot’s end-effector from its joint parameters.
Fernando Gonçalves +4 more
semanticscholar +1 more source
EXPERIMENTAL COMPARISON BETWEEN MAHONEY AND COMPLEMENTARY SENSOR FUSION ALGORITHM FOR ATTITUDE DETERMINATION BY RAW SENSOR DATA OF XSENS IMU ON BUOY [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2017 The accurate measurement of platform orientation plays a critical role in a range of applications including marine, aerospace, robotics, navigation, human motion analysis, and machine interaction.
A. Jouybari +2 more
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Study on the estimation of Euler angles for Macau Science Satellite-1
Earth and Planetary Physics, 2023 The Euler angle estimation is a calibration method for vector data measured by the magnetometer on a satellite. It is used to find the relative rotation between the coordinate system of the magnetometer and the satellite (usually determined by Star ...
Qing Yan +4 more
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Modeling the effect of fracture orientation on porus media anisotropy using the T-matrix method [PDF]
Нефтегазовая геология: Теория и практика, 2022 Fracture orientation is crucial in porous media anisotropy. In the current study we investigate the role of fracture orientation based on a novel Rock Physics method - the T-matrix approach. This method allows us to study the fracture porosity, shape and
Goleij F.
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