Numerically stable methods for converting rotation matrices to Euler parameters

被引：0

作者：

Coope, ID ^{[1
]}

Lintott, AB ^{[1
]}

Dunlop, GR ^{[1
]}

Vuskovic, MI ^{[1
]}

机构：

[1] Univ Canterbury, Canterbury, New Zealand

来源：

ADVANCES IN ROBOT KINEMATICS | 2000年

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Euler parameters have several advantages over other methods of parameterising rotations. A selection of methods for extracting Euler parameters from a rotation matrix are presented, and their computational efficiency and accuracy are compared. One commonly accepted method is shown to suffer from loss of significance when rotations are close to pi +/- 2k pi radians. This paper also presents an original mettled based on the eigendecomposition of the rotation matrix.

引用

页码：35 / 42

页数：8

共 50 条

[41] Direct recurrence relations for the rapid and stable determination of rotation matrices between complex spherical harmonics.
Choi, CH
Ivanic, J
Gordon, MS
Ruedenberg, K
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 1999, 218 : U340 - U340
[42] Design of an analytical fault tolerant attitude determination system using Euler angles and rotation matrices for a three-axis satellite
Bolandi, Hossein
Abedi, Mostafa
Nasrollahi, Saeed
PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING, 2014, 228 (05) : 706 - 726
[43] Sensitivity of turbulence statistics in the lower portion of a numerically simulated stable boundary layer to parameters of the Deardorff subgrid turbulence model
Gibbs, Jeremy A.
Fedorovich, Evgeni
QUARTERLY JOURNAL OF THE ROYAL METEOROLOGICAL SOCIETY, 2016, 142 (698) : 2205 - 2213
[44] PROCESSING AND FLAMMABILITY PARAMETERS OF BISMALEIMIDE AND SOME OTHER THERMALLY STABLE RESIN MATRICES FOR COMPOSITES
KOURTIDES, DA
POLYMER COMPOSITES, 1984, 5 (02) : 143 - 150
[45] A numerically stable T-matrix method for acoustic scattering by nonspherical particles with large aspect ratios and size parameters
Ganesh, M.
Hawkins, Stuart C.
JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2022, 151 (03): : 1978 - 1988
[46] Numerical and numerically-analytical methods for calculation of versal model parameters based on the Campbell-Hausdorff expansion
Udilov, V.V.
Journal of Automation and Information Sciences, 1999, 31 (4-5): : 1 - 5
[47] Stable Intrinsic Auto-Calibration from Fundamental Matrices of Devices with Uncorrelated Camera Parameters
Fetzer, Torben
Reis, Gerd
Stricker, Didier
2020 IEEE WINTER CONFERENCE ON APPLICATIONS OF COMPUTER VISION (WACV), 2020, : 221 - 230
[48] Comparative study of attitude control methods based on Euler angles, quaternions, angle-axis pairs and orientation matrices
Ozgoren, M. Kemal
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2019, 41 (05) : 1189 - 1206
[49] Cell-vertex entropy-stable finite volume methods for the system of Euler equations on unstructured grids
Chizari, Hossain
Singh, Vishal
Ismail, Farzad
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 98 : 261 - 279
[50] On construction of the stable permutations of parameters for the Chebyshev iterative methods. Part I
Lebedev, VI
Finogenov, SA
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2002, 17 (05) : 437 - 456

← 1 2 3 4 5 →