3 papers
cs.RO2026
Computer-Aided Design of Rational Motions for 4R and 6R Spatial Mechanism Synthesis
Daniel Huczala, Severinas Zube, Martin Pfurner +2
This paper focuses on geometric methods for generating rational motions used in the design of single-loop rational linkages, 1-degree-of-freedom mechanisms that can execute prescri…
math.RA2025
Quadratic Motion Polynomials With Irregular Factorizations
Daren A. Thimm, Zijia Li, Hans-Peter Schröcker +1
Motion polynomials are a specific type of polynomial over a Clifford algebra that can conveniently describe rational motions. There exists an algorithm for the factorization of mot…
cs.RO2024
Rational Linkages: From Poses to 3D-printed Prototypes
Daniel Huczala, Johannes Siegele, Daren A. Thimm +2
In this paper, a set of tools is introduced that simplifies the synthesis and rapid-prototyping of single-loop rational kinematic chains. It allows the user to perform rational mot…