Geometric Algebra for Physicists

By C. Doran, Anthony N. Lasenby. 2003

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Geometric Algebras for Euclidean Geometry (2014, background): “usly to the use of Poincare duality above in Sect. 2.1): X^Y := (( X) _( Y)) and similarly for join _in the dual Grassman algebra. In the above quote as well as many popular texts ([DFM07], [Per09], [DL03]) one gains the false impression that a non-degenerate metric must be used to implement the reg”
FABRIK: A fast, iterative solver for the Inverse Kinematics problem (2011, methodology): “Several optimisations can be achieved using Conformal Geometric Algebra (CGA) [25,26] to produce faster results and to converge to the final answer in fewer iterations; CGA has the advantage that basic entities, such as spheres, lines, planes and circles, are simply represented by algebraic objects.”