Hedgehog reconstruction of polygons: Non-central sections and slabs
Abstract
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: an origin-symmetric polygon can be reconstructed from the areas of slabs supporting an analytic origin-symmetric hedgehog in the interior of the polygon.
Fields of Study & Subjects
Point processes and geometric inequalities
Advanced Combinatorial Mathematics
Mathematics and Applications
Publication details
- Journal / source
- Canadian Mathematical Bulletin
- Pages
- 1–13
- Publication date
- 30 September 2026
- Language
- EN