Persistence diagrams are used as signatures of point cloud data assumed ...
We explore efficient optimization of toolpaths based on multiple criteri...
The Max-Flow Min-Cut theorem is the classical duality result for the Max...
High-throughput technologies to collect field data have made observation...
The mapper construction is a powerful tool from topological data analysi...
Given a compact E ⊂ℝ^n and s > 0, the maximum distance
problem seeks a c...
We develop a framework that creates a new polygonal mesh representation ...
The contributions of this paper are two-fold. We define a new filtration...
We propose an Euler transformation that transforms a given d-dimensional...
We introduce and begin to explore the mean and median of finite sets of
...
The Mapper produces a compact summary of high dimensional data as a
simp...
Phenomics is an emerging branch of modern biology, which uses high throu...