Geometric Fundamentals of Robotics

By J. M. Selig. Monographs in Computer Science, 2004

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New sum-product type estimates over finite fields (2014, background): “[19] for theoretical foundations, for p 6= 2.”
Geometric Algebras for Euclidean Geometry (2014, methodology): “in integration of metric geometry in projective geometry, so that it has close connections to the genesis of geometric algebra itself. The algebra rst appeared in the modern literature in [Sel00] and [Sel05], and was then extended and embedded in the metric-neutral toolkit described in [Gun11a]. A c”
Cooperative manipulation and transportation with aerial robots (2009, background): “The lines of a regulus are points on a 2-plane in PR(5) [9], which implies that the body is underconstrained and has three degrees of freedom.”
A way of relating instantaneous and finite screws based on the screw triangle product (2017, methodology): “In their work, unit dual quaternions and unit pure dual quaternions were used for describing finite and instantaneous motions, for the algebraic structure of the former is a double cover of Lie group SE(3) whose Lie algebra in turn constitutes the latter as by Selig [38].”