{"paper":{"title":"Probing Convex Polygons with a Wedge","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Alina Shaikhet, Jean-Lou De Carufel, Michiel Smid, Prosenjit Bose","submitted_at":"2015-06-08T16:22:42Z","abstract_excerpt":"Minimizing the number of probes is one of the main challenges in reconstructing geometric objects with probing devices. In this paper, we investigate the problem of using an $\\omega$-wedge probing tool to determine the exact shape and orientation of a convex polygon. An $\\omega$-wedge consists of two rays emanating from a point called the apex of the wedge and the two rays forming an angle $\\omega$. To probe with an $\\omega$-wedge, we set the direction that the apex of the probe has to follow, the line $\\overrightarrow L$, and the initial orientation of the two rays. A valid $\\omega$-probe of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.02572","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}