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stat.ME2026
Bootstrap-based Hypothesis Test of 2D Contours using Elastic Shape Analysis
Susan Glenn, Justin Strait, Kelly Moran +2
Shapes of objects in images are often complex, high-dimensional, and vary in ways not captured by standard Euclidean geometry and statistics. Statistical shape analysis encompasses…
stat.ME2025
Tracking Temporal Evolution of Topological Features in Image Data
Susan Glenn, Jessi Cisewski-Kehe, Jun Zhu +1
Topological Data Analysis (TDA) can be used to detect and characterize holes in an image, such as zero-dimensional holes (connected components) or one-dimensional holes (loops). Ho…
stat.ME2024
Confidence regions for a persistence diagram of a single image with one or more loops
Susan Glenn, Jessi Cisewski-Kehe, Jun Zhu +1
Topological data analysis (TDA) uses persistent homology to quantify loops and higher-dimensional holes in data, making it particularly relevant for examining the characteristics o…