5 citations · 6 across the 4 of their papers we have counts for
4 papers
Exparabolas of a Triangle
Martin Lukarevski, Hans-Peter Schröcker
Among a triangle's exparabolas (parabolas escribed to the triangle), three are distinguished by having locally maximal parameter. They are determined by a simple cubic equation and…
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…
The Geometry of Quadratic Quaternion Polynomials in Euclidean and Non-Euclidean Planes
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We propose a geometric explanation for the observation that generic quadratic polynomials over split quaternions may have up to six different factorizations while generic polynomia…
Factorization of Motion Polynomials
Zijia Li, Josef Schicho, Hans-Peter Schröcker
In this paper, we consider the existence of a factorization of a monic, bounded motion polynomial. We prove existence of factorizations, possibly after multiplication with a real p…