3 papers
math.RA2024
Quadratic Spinor Polynomials with Infinitely Many Factorizations
Zijia Li, Hans-Peter Schröcker, Johannes Siegele +1
Spinor polynomials are polynomials with coefficients in the even sub-algebra of conformal geometric algebra whose norm polynomial is real. They describe rational conformal motions.…
math.RA2023
A Geometric Algorithm for the Factorization of Spinor Polynomials
Zijia Li, Hans-Peter Schröcker, Johannes Siegele
We present a new algorithm to decompose generic spinor polynomials into linear factors. Spinor polynomials are certain polynomials with coefficients in the geometric algebra of dim…
cs.RO2023
An Overconstrained Vertical Darboux Mechanism
Johannes Siegele, Martin Pfurner
In this article, we will construct an overconstrained closed-loop linkage consisting of four revolute and one cylindrical joint. It is obtained by factorization of a prescribed ver…