Title
Rational motions with generic trajectories of low degree
Abstract
•Explanation for exceptional drop of generic trajectory degree in rational motions.•Explanation of trajectory degree difference between motion and inverse motion.•Algebraic and geometric explanation of these phenomena.•Systematic construction of motions with exceptionally low trajectory degree.
Year
DOI
Venue
2020
10.1016/j.cagd.2019.101793
Computer Aided Geometric Design
Keywords
Field
DocType
Inverse motion,Rational curve,Dual quaternions,Degree reduction,Darboux motion,Wunderlich motion
Topology,Rational motion,Dual quaternion,Algebraic number,Polynomial,Pure mathematics,Rigid body,Invariant (mathematics),Trajectory,Mathematics,Quadric
Journal
Volume
ISSN
Citations 
76
0167-8396
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Johannes Siegele100.34
Daniel F. Scharler210.69
Hans-Peter Schröcker36013.17