Approaching Dual Quaternions From Matrix Algebra
暂无分享,去创建一个
[1] Stephen Mann,et al. Geometric Algebra: A computational framework for geometrical applications Part 1 , 2002, IEEE Computer Graphics and Applications.
[2] Andrew P. Murray,et al. A Distance Metric for Finite Sets of Rigid-Body Displacements via the Polar Decomposition , 2007 .
[3] M. Shuster. A survey of attitude representation , 1993 .
[4] Joel L. Weiner,et al. Quaternions and Rotations in 피4 , 2005 .
[5] Andrew J. Hanson,et al. Visualizing quaternions , 2005, SIGGRAPH Courses.
[6] Ron Goldman. Rethinking Quaternions: Theory and Computation , 2010 .
[7] Arthur Buchheim,et al. A Memoir on Biquaternions , 1885 .
[8] Jana Fuhrmann,et al. The collected mathematical papers , 1896 .
[9] Par Gustave Juvet. Les rotations de l'espace euclidien à quatre dimensions, leur expression au moyen des nombres de Clifford et leurs relations avec la théorie des spineurs , 1935 .
[10] A. T. Yang,et al. Application of Dual-Number Matrices to the Inverse Kinematics Problem of Robot Manipulators , 1985 .
[11] Ian S. Fischer,et al. Dual-Number Methods in Kinematics, Statics and Dynamics , 1998 .
[12] J. Michael McCarthy,et al. Introduction to theoretical kinematics , 1990 .
[13] P. Larochelle,et al. Planar Motion Synthesis Using an Approximate Bi-Invariant Metric , 1995 .
[14] John J. Craig,et al. Introduction to Robotics Mechanics and Control , 1986 .
[15] Ron Goldman,et al. Rethinking Quaternions , 2010, Rethinking Quaternions.
[16] John J. Craig,et al. Introduction to robotics - mechanics and control (2. ed.) , 1989 .
[17] Frank L. Hitchcock. An Analysis of Rotations in Euclidean Four-Space by Sedenions , 1930 .
[18] J. Pujol,et al. Hamilton, Rodrigues, Gauss, Quaternions, and Rotations: a Historical Reassessment , 2012 .
[19] I. M. Yaglom,et al. Complex Numbers in Geometry , 1969, The Mathematical Gazette.
[20] A. ten Kate,et al. Dirac Algebra and the Six‐Dimensional Lorentz Group , 1968 .
[21] N. Rosen. Note on the General Lorentz Transformation , 1930 .
[22] J. Angeles. The application of dual algebra to kinematic analysis , 1998 .
[23] Marco Ceccarelli,et al. Distinguished figures in mechanism and machine science : their contributions and legacies , 2007 .
[24] Arthur Cayley. The Collected Mathematical Papers: Recherches Ultérieures sur les Déterminants gauches , 2009 .
[25] Robert B. Fisher,et al. Estimating 3-D rigid body transformations: a comparison of four major algorithms , 1997, Machine Vision and Applications.
[26] J. McCarthy,et al. Dimensional Synthesis of Robots using a Double Quaternion Formulation of the Workspace , 2000 .
[27] S. Qiao,et al. Inverse kinematic analysis of the general 6R serial manipulators based on double quaternions , 2010 .
[28] OLIVER HEAVISIDE. Vectors Versus Quaternions , 1893, Nature.
[29] Janusz,et al. Geometrical Methods in Robotics , 1996, Monographs in Computer Science.
[30] S. Altmann,et al. Hamilton, Rodrigues, and the Quaternion Scandal , 1989 .
[31] Jack B. Kuipers,et al. Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality , 2002 .
[32] Mark Whitty,et al. Robotics, Vision and Control. Fundamental Algorithms in MATLAB , 2012 .
[33] A. T. Yang,et al. Application of Dual-Number Quaternion Algebra to the Analysis of Spatial Mechanisms , 1964 .
[34] P. Lounesto. Clifford Algebras and Spinors , 1997 .
[35] John Stillwell,et al. Naive Lie Theory , 2008 .
[36] J. Michael McCarthy,et al. A metric for spatial displacement using biquaternions on SO(4) , 1996, Proceedings of IEEE International Conference on Robotics and Automation.
[37] Jorge Angeles,et al. Fundamentals of Robotic Mechanical Systems: Theory, Methods, and Algorithms , 1995 .
[38] Joseph K. Davidson,et al. Robots and Screw Theory: Applications of Kinematics and Statics to Robotics , 2004 .
[39] A. C. Robinson,et al. ON THE USE OF QUATERNIONS IN SIMULATION OF RIGID-BODY MOTION , 1958 .
[40] Gr Geert Veldkamp. On the use of dual numbers, vectors and matrices in instantaneous, spatial kinematics , 1976 .
[41] Joe Rooney,et al. William Kingdon Clifford (1845-1879) , 2007 .
[42] J. E. Mebius,et al. Applications of Quaternions to Dynamical Simulation, Computer Graphics and Biomechanics , 1994 .
[43] Francis L. Merat,et al. Introduction to robotics: Mechanics and control , 1987, IEEE J. Robotics Autom..
[44] George Bruce Halsted,et al. The Collected Mathematical Papers of Arthur Cayley , 1899 .
[45] J. Michael McCarthy,et al. Dual quaternion synthesis of constrained robotic systems , 2003 .
[46] James D. Foley,et al. Fundamentals of interactive computer graphics , 1982 .
[47] John McDonald,et al. Teaching Quaternions is not Complex , 2009, Eurographics.
[48] J. P.. Lectures on Quaternions , 1897, Nature.
[49] William Rowan Hamilton,et al. ON QUATERNIONS, OR ON A NEW SYSTEM OF IMAGINARIES IN ALGEBRA , 1847 .
[50] Arthur Cayley,et al. The Collected Mathematical Papers: On certain results relating to Quaternions , 2009 .
[51] Malcolm D. Shuster,et al. The nature of the quaternion , 2008 .
[52] A. Bork,et al. “Vectors Versus Quaternions”—The Letters in Nature , 1966 .