Deciding Cuspidality of Manipulators through Computer Algebra and Algorithms in Real Algebraic Geometry
Damien Chablat, Rémi Prébet, Mohab Safey El Din, Durgesh Haribhau Salunkhe, Philippe Wenger · 2022
Cuspidal robots are robots with at least two inverse kinematic solutions that can be connected by a singularity-free path. Deciding the cuspidality of generic 3R robots has been studied in the past, but extending the study to six-degree-of-freedom robots can be a challenging problem. Many robots can be modeled as a polynomial map together with a real algebraic set so that the notion of cuspidality can be extended to these data.