76 citations · 271 across the 28 of their papers we have counts for
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Rational Motions of Minimal Quaternionic Degree with Prescribed Line Trajectories
Zülal Derin Yaqub, Hans-Peter Schröcker
In this paper, we study how to find rational motions that move a line along a given rational ruled surface. Our goal is to find motions with the lowest possible degree using dual q…
The Study Variety of Conformal Kinematics
Bahar Kalkan, Zijia Li, Hans-Peter Schröcker +1
We introduce the Study variety of conformal kinematics and investigate some of its properties. The Study variety is a projective variety of dimension ten and degree twelve in real…
Factorization of Quaternionic Polynomials of Bi-Degree (n,1)
Johanna Lercher, Daniel F. Scharler, Hans-Peter Schröcker +1
We consider polynomials of bi-degree over the skew field of quaternions where the indeterminates commute with each other and with all coefficients. Polynomials of this type…
An Algorithm for the Factorization of Split Quaternion Polynomials
Daniel F. Scharler, Hans-Peter Schröcker
We present an algorithm to compute all factorizations into linear factors of univariate polynomials over the split quaternions, provided such a factorization exists. Failure of the…
Factorization of Dual Quaternion Polynomials Without Study's Condition
Johannes Siegele, Martin Pfurner, Hans-Peter Schröcker
In this paper we investigate factorizations of polynomials over the ring of dual quaternions into linear factors. While earlier results assume that the norm polynomial is real ("mo…
From the Fundamental Theorem of Algebra to Kempe's Universality Theorem
Gábor Hegedüs, Zijia Li, Josef Schicho +1
This article provides a gentle introduction for a general mathematical audience to the factorization theory of motion polynomials and its application in mechanism science. This the…
Factorization of Rational Curves in the Study Quadric and Revolute Linkages
Gábor Hegedüs, Josef Schicho, Hans-Peter Schröcker
Given a generic rational curve in the group of Euclidean displacements we construct a linkage such that the constrained motion of one of the links is exactly . Our construct…