76 citations · 542 across the 72 of their papers we have counts for
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An algebraic study of linkages with helical joints
Hamid Abban, Zijia Li, Josef Schicho
Methods from algebra and algebraic geometry have been used in various ways to study linkages in kinematics. These methods have failed so far for the study of linkages with helical…
The Theory of Bonds II: Closed 6R Linkages with Maximal Genus
Gábor Hegedüs, Zijia Li, Josef Schicho +1
In this paper, we introduce a method that allows to produce necessary conditions on the Denavit--Hartenberg parameters for the mobility of a closed linkage with six rotational join…
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…
An inequality for adjoint rational surfaces
Christian Haase, Josef Schicho
We generalize an inequality for convex lattice polygons -- aka toric surfaces -- to general rational surfaces.
Computational aspects of gonal maps and radical parametrization of curves
Josef Schicho, Frank-Olaf Schreyer, Martin Weimann
We develop in this article an algorithm that, given a projective curve , computes a \textit{gonal map}, that is, a finite morphism from to the projective line of minimal deg…
Classification of Angle-Symmetric 6R Linkage
Zijia Li, Josef Schicho
In this paper, we consider a special kind of overconstrained 6R closed linkages which we call angle-symmetric 6R linkages. These are linkages with the property that the rotation an…