76 citations · 542 across the 72 of their papers we have counts for
8 papers · 1 filter
Spatial Straight Line Linkages by Factorization of Motion Polynomials
Zijia Li, Josef Schicho, Hans-Peter Schröcker
We use the recently introduced factorization of motion polynomials for constructing overconstrained spatial linkages with a straight line trajectory. Unlike previous examples, the…
Ambiguities in a Problem in Planar Geodesy
Josef Schicho, Matteo Gallet
This is a study of a problem in geodesy with methods from complex algebraic geometry: for a fixed number of measure points and target points at unknown position in the Euclidean pl…
Möbius Photogrammetry
Matteo Gallet, Georg Nawratil, Josef Schicho
Motivated by results on the mobility of mechanical devices called pentapods, this paper deals with a mathematically freestanding problem, which we call Möbius Photogrammetry. Unlik…
Self-motions of pentapods with linear platform
Georg Nawratil, Josef Schicho
We give a full classification of all pentapods with linear platform possessing a self-motion beside the trivial rotation about the platform. Recent research necessitates a contempo…
Pentapods with Mobility 2
Georg Nawratil, Josef Schicho
In this paper we give a full classification of all pentapods with mobility 2, where neither all platform anchor points nor all base anchor points are located on a line. Therefore t…
Bond theory for pentapods and hexapods
Matteo Gallet, Georg Nawratil, Josef Schicho
This paper deals with the old and classical problem of determining necessary conditions for the overconstrained mobility of some mechanical device. In particular, we show that the…