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math.CV2019★ 1 cited
Minkowski products of unit quaternion sets
Rida T. Farouki, Graziano Gentili, Hwan Pyo Moon +1
The Minkowski product of unit quaternion sets is introduced and analyzed, motivated by the desire to characterize the overall variation of compounded spatial rotations that result…
math.CV2015★ 9 cited
Solution of a quadratic quaternion equation with mixed coefficients
Rida T. Farouki, Graziano Gentili, Carlotta Giannelli +2
A comprehensive analysis of the morphology of the solution space for a special type of quadratic quaternion equation is presented. This equation, which arises in a surface construc…