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4 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…