Total Variation Isoperimetric Profiles

    Daryl R. DeFord
    Daryl R. DeFord
    Hugo Lavenant
    Hugo Lavenant
    Zachary Schutzman
    Zachary Schutzman

    SIAM J. Appl. Algebra Geom., pp. 585-613, 2019.

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    EI

    Abstract:

    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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