{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7OAACMFVLPPSJCA3UHGW75TYA7","short_pith_number":"pith:7OAACMFV","schema_version":"1.0","canonical_sha256":"fb800130b55bdf24881ba1cd6ff67807ef35d07529c44523bc870e1c23a207d1","source":{"kind":"arxiv","id":"1609.00546","version":2},"attestation_state":"computed","paper":{"title":"A regularized tri-linear approach for optical interferometric imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Audrey Repetti, Jasleen Birdi, Yves Wiaux","submitted_at":"2016-09-02T11:04:23Z","abstract_excerpt":"In the context of optical interferometry, only undersampled power spectrum and bispectrum data are accessible. It poses an ill-posed inverse problem for image recovery. Recently, a tri-linear model was proposed for monochromatic imaging, leading to an alternated minimization problem. In that work, only a positivity constraint was considered, and the problem was solved by an approximated Gauss-Seidel method. In this paper, we propose to improve the approach on three fundamental aspects. Firstly, we define the estimated image as a solution of a regularized minimization problem, promoting sparsit"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1609.00546","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2016-09-02T11:04:23Z","cross_cats_sorted":[],"title_canon_sha256":"b9f9680a3ec9c37241363da68c3c3426d38e5a25030ed7b8f7bcf8731e9796d3","abstract_canon_sha256":"6a50d39ccfd5ce35cfbac029a305c4302eaeb18f50e1224b065724a9a5b39b6b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:41.176078Z","signature_b64":"ZxDPCCafs3QSZ1pFD1VcDxUgJ/O3kJxuWVHGRK+AH8dBqy6/MCmS2ZpxLtd1UbKdpPvqbRHSxs1LIPClsEPSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb800130b55bdf24881ba1cd6ff67807ef35d07529c44523bc870e1c23a207d1","last_reissued_at":"2026-05-18T00:40:41.175375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:41.175375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A regularized tri-linear approach for optical interferometric imaging","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Audrey Repetti, Jasleen Birdi, Yves Wiaux","submitted_at":"2016-09-02T11:04:23Z","abstract_excerpt":"In the context of optical interferometry, only undersampled power spectrum and bispectrum data are accessible. It poses an ill-posed inverse problem for image recovery. Recently, a tri-linear model was proposed for monochromatic imaging, leading to an alternated minimization problem. In that work, only a positivity constraint was considered, and the problem was solved by an approximated Gauss-Seidel method. In this paper, we propose to improve the approach on three fundamental aspects. Firstly, we define the estimated image as a solution of a regularized minimization problem, promoting sparsit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.00546","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1609.00546","created_at":"2026-05-18T00:40:41.175491+00:00"},{"alias_kind":"arxiv_version","alias_value":"1609.00546v2","created_at":"2026-05-18T00:40:41.175491+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.00546","created_at":"2026-05-18T00:40:41.175491+00:00"},{"alias_kind":"pith_short_12","alias_value":"7OAACMFVLPPS","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7OAACMFVLPPSJCA3","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7OAACMFV","created_at":"2026-05-18T12:30:04.600751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7","json":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7.json","graph_json":"https://pith.science/api/pith-number/7OAACMFVLPPSJCA3UHGW75TYA7/graph.json","events_json":"https://pith.science/api/pith-number/7OAACMFVLPPSJCA3UHGW75TYA7/events.json","paper":"https://pith.science/paper/7OAACMFV"},"agent_actions":{"view_html":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7","download_json":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7.json","view_paper":"https://pith.science/paper/7OAACMFV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1609.00546&json=true","fetch_graph":"https://pith.science/api/pith-number/7OAACMFVLPPSJCA3UHGW75TYA7/graph.json","fetch_events":"https://pith.science/api/pith-number/7OAACMFVLPPSJCA3UHGW75TYA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7/action/storage_attestation","attest_author":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7/action/author_attestation","sign_citation":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7/action/citation_signature","submit_replication":"https://pith.science/pith/7OAACMFVLPPSJCA3UHGW75TYA7/action/replication_record"}},"created_at":"2026-05-18T00:40:41.175491+00:00","updated_at":"2026-05-18T00:40:41.175491+00:00"}