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arXiv · 2603.00002

Hedgehog Reconstruction of Polygons: Non-Central Sections and Slabs

Brendan Matthews
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Abstract

We show that a polygon can be uniquely determined by the lengths of non-central sections supporting a piecewise-analytic hedgehog in the interior of the polygon. We also prove the analogous result for slab areas - centrally-symmetric polygon can be reconstructed based on the areas of slabs supporting an analytic centrally-symmetric hedgehog in the interior of the polygon

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Brendan Matthews. 2025-12-29. Hedgehog Reconstruction of Polygons: Non-Central Sections and Slabs. https://arxiv.org/abs/2603.00002

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