3 citations · 4 across the 5 of their papers we have counts for
6 papers
A Geometric Approach to the Kinematics of the Canfield Joint
Christian Bueno, Kristina Collins, Alan Hylton +1
This paper details an accessible geometric derivation of the forward and inverse kinematics of a parallel robotic linkage known as the Canfield joint, which can be used for pointin…
Path Optimization Sheaves
Michael Moy, Robert Cardona, Robert Green +3
Motivated by efforts to incorporate sheaves into networking, we seek to reinterpret pathfinding algorithms in terms of cellular sheaves, using Dijkstra's algorithm as an example. W…
Tuning the Performance of a Computational Persistent Homology Package
Alan Hylton, Gregory Henselman-Petrusek, Janche Sang +1
In recent years, persistent homology has become an attractive method for data analysis. It captures topological features, such as connected components, holes, and voids from point…
A Topological Kinematic Workspace Analysis of the Canfield Joint
Robert Short, Alan Hylton
We use topological techniques to do a workspace analysis of the Canfield Joint, a mechanical linkage constructed with two plates connected by three legs. The Canfield Joint has thr…
How to Build a Graph in n Days: Some Variants on Graph Assembly
Aria Dougherty, Nick Mayers, Robert Short
In a recent article by M. Bona and A. Vince, the authors introduced the concept of an assembly tree for a graph. Assembly trees act as record keeping devices for the construction o…
Relative topological complexity of a pair
Robert Short
For a pair of spaces and such that , we define the relative topological complexity of the pair as a new variant of relative topological complexity. I…