electron backscatter diffraction 1microstructure imaging 1persistent homology 1shape analysis 1topological data analysis 1
From the 1 of 3 linked papers with an AI index.
3 papers
cond-mat.mtrl-sci2026
Topology of Shape and Data in Material Microstructures
Jeanie Schreiber, Zachary Grey, Adam Creuziger
The paper introduces a framework that combines topological data analysis with non‑Euclidean shape distances to quantitatively characterize the shape, size, and arrangement of mater…
math.NA2026
A Riemannian View on Active Subspaces
Zachary Grey
Active subspaces provide an explainable, eigenvalue-ordered principle for studying how scalar-valued quantities of interest change the most, on average, over a reduced basis of Euc…
cs.CV2026
Explainable Binary Classification of Separable Shape Ensembles
Zachary Grey, Nicholas Fisher, Andrew Glaws
Scientists, engineers, biologists, and technology specialists universally leverage image segmentation to extract shape ensembles containing many thousands of curves representing pa…