The Rational Motion of Minimal Dual Quaternion Degree With Prescribed Trajectory
classification
🧮 math.MG
math.RA
keywords
degreeminimalmotionrationaltrajectorydualquaternioncircular
read the original abstract
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 parametric curve as trajectory. The minimal motion degree equals the trajectory's degree minus its circularity. Hence, it is lower than the degree of a trivial curvilinear translation for circular curves.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.