{"paper":{"title":"Determining a rotation of a tetrahedron from a projection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CG","cs.CV"],"primary_cat":"math.MG","authors_text":"Paolo Gronchi, Richard J. Gardner, Thorsten Theobald","submitted_at":"2011-11-30T09:51:46Z","abstract_excerpt":"The following problem, arising from medical imaging, is addressed: Suppose that $T$ is a known tetrahedron in $\\R^3$ with centroid at the origin. Also known is the orthogonal projection $U$ of the vertices of the image $\\phi T$ of $T$ under an unknown rotation $\\phi$ about the origin. Under what circumstances can $\\phi$ be determined from $T$ and $U$?"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.7100","kind":"arxiv","version":2},"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"}