[1] Pottmann H, Wallner J. Computational Line Geometry. New York: Springer, 2001 [2] Merlet J P. Parallel Robots. 2nd ed. Dordrecht: Springer, 2005 [3] Bayro-Corrochano E, Lasenby J. Object modelling and motion analysis using Clifford algebra//Proceedings of Europe-China Workshop on Geometric Modeling and Invariants for Computer Vision. Xi’an, China, 1995: 143-149 [4] Daniilidis K. Hand-eye calibration using dual quaternions. The International Journal of Robotics Research, 1999, 18(3): 286-298 [5] Dai J. Geometrical Foundations and Screw Algebra for Mechanisms and Robotics. Beijing: Higher Education Press, 2014 [6] Selig J M. Geometric Fundamentals of Robotics. New York: Springer, 2005 [7] Iqbal H, Khan M U A, Yi B. Analysis of duality based interconnected kinematics of planar serial and parallel manipulators using screw theory. Intelligent Service Robotics, 2020, 13(1): 47-62 [8] Sariyildiz E, Temeltas H. A new formulation method for solving kinematic problems of multiarm robot systems using quaternion algebra in the screw theory framework. Turkish Journal of Electrical Engineering and Computer Sciences, 2012, 20(4): 9-30 [9] Li Z, Schicho J, Schrëcker H P. The rational motion of minimal dual quaternion degree with prescribed trajectory. Computer Aided Geometric Design, 2016, 41(3): 1-9 [10] Doran C, Lasenby A. Geometric Algebra for Physicists. Cambridge: Cambridge University Press, 2007 [11] Chasles M. Traité de Géométrie Supérieure. Paris: Gauthier-Villars, 1880 [12] Lounesto P. Clifford Algebras and Spinors. 2nd ed. Cambridge: Cambridge University Press, 2011 [13] Clifford W K. Elements of Dynamic: An Introduction to the Study of Motion and Rest in Solid and Fluid Bodies. London: MacMillan and Company, 1878 [14] Meinrenken E. Clifford Algebras and Lie Theory. Heidelberg: Springer, 2013 [15] Li H. Three-dimensional projective geometry with geometric algebra. https://arxiv.org/pdf/1507.06634.pdf [16] Hestenes D, Sobczyk G. Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics. Dordrecht: D. Reidel Publishing Company, 1984 [17] Hestenes D, Ziegler R. Projective geometry with Clifford algebra. Acta Applicandae Mathematica, 1991, 23(1): 25-63 [18] Doran C, Hestenes D, Sommen F, et al. Lie groups as spin groups. Journal of Mathematical Physics, 1993, 34(8): 3642-3669 [19] Goldman R, Mann S, Jia X. Computing perspective projections in 3-dimensions using rotors in the homogeneous and conformal models of Clifford algebra. Journal of Mathematical Physics, 2014, 24(2): 465-491 [20] Li H, Zhang L. Line geometry in terms of the null geometric algebra over R^{3,3}, and application to the inverse singularity analysis of generalized Stewart platforms//Dorst L, Lasenby J, eds. Guide to Geometric in Practice. London: Springer, 2011: 253-272 [21] Klawitter D. A Clifford algebraic approach to line geometry. Advances in Applied Clifford Algebra, 2013, 24(3): 737-761 |