76 citations · 542 across the 72 of their papers we have counts for
9 papers · 1 filter
Hexapods with a small linear span
Hans-Christian Graf von Bothmer, Matteo Gallet, Josef Schicho
The understanding of mobile hexapods, i.e., parallel manipulators with six legs, is one of the driving questions in theoretical kinematics. We aim at contributing to this understan…
Five Equivalent Representations of a Phylogenetic Tree
Jiayue Qi, Josef Schicho
A phylogenetic tree is a tree with a fixed set of leaves that has no vertices of degree two. In this paper, we axiomatically define four other discrete structures on the set of lea…
Projective isomorphisms between rational surfaces
Bert Jüttler, Niels Lubbes, Josef Schicho
We present a method for computing projective isomorphisms between rational surfaces that are given in terms of their parametrizations. The main idea is to reduce the computation of…
Zero-sum cycles in flexible polyhedra
Matteo Gallet, Georg Grasegger, Jan Legerský +1
We show that if a polyhedron in the three-dimensional affine space with triangular faces is flexible, i.e., can be continuously deformed preserving the shape of its faces, then the…
Robots, computer algebra and eight connected components
Jose Capco, Mohab Safey El Din, Josef Schicho
Answering connectivity queries in semi-algebraic sets is a long-standing and challenging computational issue with applications in robotics, in particular for the analysis of kinema…
On the multihomogeneous Bézout bound on the number of embeddings of minimally rigid graphs
Evangelos Bartzos, Ioannis Z. Emiris, Josef Schicho
Rigid graph theory is an active area with many open problems, especially regarding embeddings in or other manifolds, and tight upper bounds on their number for a giv…