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Advances in Applied Clifford Algebras, 2012
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Complementary Orientations in Geometric Algebras
2023Oriented elements are part of geometry, and they come in two complementary types: intrinsic and extrinsic. Those different orientation types manifest themselves by behaving differently under reflection. Dualization in geometric algebras can be used to encode them; or vice versa, orientation types inform the interpretation of dualization.
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Guide to Geometric Algebra in Practice
2011This highly practical Guide to Geometric Algebra in Practice reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them. The topics covered range from powerful new theoretical developments, to successful applications, and the development of new software and hardware tools.
Dorst, L., Lasenby, J.
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On the geometric equivalence of algebras
Annals of Pure and Applied LogiczbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Clifford algebras and geometric algebra
Advances in Applied Clifford Algebras, 1997Let \(R^{p,q}\) be the universal Clifford algebra associated to a real vector space \(\mathbb{R}^n\), \(n=p+q\), equipped with a nondegenerated symmetric bilinear form \(B\) of signature \((p-q)\). Let \({\mathfrak G}\) be the infinite dimensional geometric algebra as introduced by \textit{D. Hestenes} and \textit{G.
Aragón, G. +2 more
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Geometric Algebra for Optimal Control With Applications in Manipulation Tasks
IEEE Transactions on Robotics, 2023Tobias Low, Sylvain Calinon
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Closed-form solutions for the inverse kinematics of serial robots using conformal geometric algebra
Mechanism and Machine Theory, 2022Isiah Zaplana +2 more
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Sliding mode control of switched systems: A geometric algebra approach
Asian Journal of Control, 2023Hebertt Sira-Ramirez +2 more
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