Total Variation Isoperimetric Profiles
SIAM J. Appl. Algebra Geom., pp. 585-613, 2019.
Applications such as political redistricting demand quantitative measures of geometric compactness to distinguish between simple and contorted shapes. While the isoperimetric quotient, or ratio of area to perimeter squared, is commonly used in practice, it is sensitive to noisy data and irrelevant geographic features like coastline. The...More
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