{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:K23KAB2TR77JTN5DEMUXQIJGCM","short_pith_number":"pith:K23KAB2T","schema_version":"1.0","canonical_sha256":"56b6a007538ffe99b7a323297821261328b43ca4b1ee0a1c6e8f992877ecaeec","source":{"kind":"arxiv","id":"1809.06298","version":1},"attestation_state":"computed","paper":{"title":"Anisotropic osmosis filtering for shadow removal in images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carola-Bibiane Sch\\\"onlieb, Joachim Weickert, Luca Calatroni, Marco Caliari, Simone Parisotto","submitted_at":"2018-09-17T16:04:28Z","abstract_excerpt":"We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it specifically to shadow removal applications. We show that in the integrable setting, linear anisotropic osmosis minimises an energy that involves a suitable quadratic form which models local directional structures. In our shadow removal applications we estimate the local structure via a modified tensor voting approach (Moreno, 2012) and use this information within an anisotropic diffusion inpainting that resembles edg"},"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":"1809.06298","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-09-17T16:04:28Z","cross_cats_sorted":[],"title_canon_sha256":"9bcc4e236e9cbff332b0f6054db351f2e63aaa291794788afe57694d12a6c1cf","abstract_canon_sha256":"17a92f6aa88f40a5f6650016138e53ba21922861ebfe1946be3557af2bc704cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:36.622493Z","signature_b64":"RSeEjA2Rt/s82QQNv2AU1qil8hejQqX4ljtj3cNBRD+GNLm45XNVtaMRo8S0nFMZXxlysq1J+ao0DI2YMCa6Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56b6a007538ffe99b7a323297821261328b43ca4b1ee0a1c6e8f992877ecaeec","last_reissued_at":"2026-05-17T23:45:36.621743Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:36.621743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anisotropic osmosis filtering for shadow removal in images","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carola-Bibiane Sch\\\"onlieb, Joachim Weickert, Luca Calatroni, Marco Caliari, Simone Parisotto","submitted_at":"2018-09-17T16:04:28Z","abstract_excerpt":"We present an anisotropic extension of the isotropic osmosis model that has been introduced by Weickert et al.~(Weickert, 2013) for visual computing applications, and we adapt it specifically to shadow removal applications. We show that in the integrable setting, linear anisotropic osmosis minimises an energy that involves a suitable quadratic form which models local directional structures. In our shadow removal applications we estimate the local structure via a modified tensor voting approach (Moreno, 2012) and use this information within an anisotropic diffusion inpainting that resembles edg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.06298","kind":"arxiv","version":1},"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":"1809.06298","created_at":"2026-05-17T23:45:36.621863+00:00"},{"alias_kind":"arxiv_version","alias_value":"1809.06298v1","created_at":"2026-05-17T23:45:36.621863+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.06298","created_at":"2026-05-17T23:45:36.621863+00:00"},{"alias_kind":"pith_short_12","alias_value":"K23KAB2TR77J","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_16","alias_value":"K23KAB2TR77JTN5D","created_at":"2026-05-18T12:32:33.847187+00:00"},{"alias_kind":"pith_short_8","alias_value":"K23KAB2T","created_at":"2026-05-18T12:32:33.847187+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/K23KAB2TR77JTN5DEMUXQIJGCM","json":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM.json","graph_json":"https://pith.science/api/pith-number/K23KAB2TR77JTN5DEMUXQIJGCM/graph.json","events_json":"https://pith.science/api/pith-number/K23KAB2TR77JTN5DEMUXQIJGCM/events.json","paper":"https://pith.science/paper/K23KAB2T"},"agent_actions":{"view_html":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM","download_json":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM.json","view_paper":"https://pith.science/paper/K23KAB2T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1809.06298&json=true","fetch_graph":"https://pith.science/api/pith-number/K23KAB2TR77JTN5DEMUXQIJGCM/graph.json","fetch_events":"https://pith.science/api/pith-number/K23KAB2TR77JTN5DEMUXQIJGCM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM/action/storage_attestation","attest_author":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM/action/author_attestation","sign_citation":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM/action/citation_signature","submit_replication":"https://pith.science/pith/K23KAB2TR77JTN5DEMUXQIJGCM/action/replication_record"}},"created_at":"2026-05-17T23:45:36.621863+00:00","updated_at":"2026-05-17T23:45:36.621863+00:00"}