3 citations · 3 across the 2 of their papers we have counts for
5 papers · 1 filter
Box Filtration
Enrique Alvarado, Prashant Gupta, Bala Krishnamoorthy
We define a new framework that unifies the filtration and mapper approaches from TDA, and present efficient algorithms to compute it. Termed the box filtration of a PCD, we grow bo…
Structural Validation Of Synthetic Power Distribution Networks Using The Multiscale Flat Norm
Kostiantyn Lyman, Rounak Meyur, Bala Krishnamoorthy +1
We study the problem of comparing a pair of geometric networks that may not be similarly defined, i.e., when they do not have one-to-one correspondences between their nodes and edg…
Pheno-Mapper: An Interactive Toolbox for the Visual Exploration of Phenomics Data
Youjia Zhou, Methun Kamruzzaman, Patrick Schnable +3
High-throughput technologies to collect field data have made observations possible at scale in several branches of life sciences. The data collected can range from the molecular le…
Stitch Fix for Mapper and Topological Gains
Youjia Zhou, Nathaniel Saul, Ilkin Safarli +2
The mapper construction is a powerful tool from topological data analysis that is designed for the analysis and visualization of multivariate data. In this paper, we investigate a…
Continuous Toolpath Planning in Additive Manufacturing
Prashant Gupta, Bala Krishnamoorthy, Gregory Dreifus
We develop a framework that creates a new polygonal mesh representation of the sparse infill domain of a layer-by-layer 3D printing job. We guarantee the existence of a single, con…