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20092026
most citedFactorization of Rational Curves in the Study Quadric and Revolute Linkages

76 citations · 271 across the 28 of their papers we have counts for

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6 papers · 1 filter

cs.RO2024★ 1 cited

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…

cs.RO2022

A Multi-Bennett 8R Mechanism Obtained From Factorization of Bivariate Motion Polynomials

Johanna Frischauf, Martin Pfurner, Daniel F. Scharler +1

We present a closed-loop 8R mechanism with two degrees of freedom whose motion exhibits curious properties. In any point of a two-dimensional component of its configuration variety…

cs.RO2016★ 2 cited

The Kinematic Image of RR, PR, and RP Dyads

Tudor-Dan Rad, Daniel F. Scharler, Hans-Peter Schröcker

We provide necessary and sufficient conditions for admissible transformations in the projectivised dual quaternion model of rigid body displacements and we characterise constraint…

cs.RO2015★ 1 cited

7R Darboux Linkages by Factorization of Motion Polynomials

Zijia Li, Josef Schicho, Hans-Peter Schröcker

In this paper, we construct two types of 7R closed single loop linkages by combining different factorizations of a general (non-vertical) Darboux motion. These factorizations are o…

cs.RO2015★ 1 cited

Factorization of Rational Motions: A Survey with Examples and Applications

Zijia Li, Tudor-Dan Rad, Josef Schicho +1

Since its introduction in 2012, the factorization theory for rational motions quickly evolved and found applications in theoretical and applied mechanism science. We provide an acc…

cs.RO2013★ 28 cited

Four-Pose Synthesis of Angle-Symmetric 6R Linkages

Gábor Hegedüs, Josef Schicho, Hans-Peter Schröcker

We use the recently introduced factorization theory of motion polynomials over the dual quaternions for the synthesis of closed kinematic loops with six revolute joints that visit…