38 citations · 212 across the 21 of their papers we have counts for
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The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean Planes
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions may have up to six different factorizations while generic polynomia…
The Rational Motion of Minimal Dual Quaternion Degree With Prescribed Trajectory
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We give a constructive proof for the existence of a unique rational motion of minimal degree in the dual quaternion model of Euclidean displacements with a given rational parametri…
Spatial Straight Line Linkages by Factorization of Motion Polynomials
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We use the recently introduced factorization of motion polynomials for constructing overconstrained spatial linkages with a straight line trajectory. Unlike previous examples, the…