{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:6HEKOFBXISSOBNYOW5QV5DPQFQ","short_pith_number":"pith:6HEKOFBX","schema_version":"1.0","canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","source":{"kind":"arxiv","id":"1403.2131","version":2},"attestation_state":"computed","paper":{"title":"Anisotropic Diffusion on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Colin B. Macdonald, Emma Naden, Thomas M\\\"arz","submitted_at":"2014-03-10T02:36:14Z","abstract_excerpt":"We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence enhancing diffusion models in a surface-intrinsic way. These diffusion processes are anisotropic and the equations depend non-linearly on the data. The surface-intrinsic equations are dealt with the closest point method, a technique for solving partial differential equations (PDEs) on general surfaces. The resulting algorithm has a very simple structure: we"},"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":"1403.2131","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2014-03-10T02:36:14Z","cross_cats_sorted":[],"title_canon_sha256":"f16fc12bc758cb8471fd925d9fb91d049534c838cde6e3036232d89d9ad4cace","abstract_canon_sha256":"e0740aa8824e31ec2ad000158de6b699b15a4c1f4e4c1b5a584351cb01cb957c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:46.454037Z","signature_b64":"pdqwzeulU3CUg1BFaEuKSsskVivdAl3x7/YQWg9FDaHAEgSqN/39yqf+LkiVPYXt2wbQXXfxXNIK+GljVSAGBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f1c8a7143744a4e0b70eb7615e8df02c0725912c59304e99095fdf034a2dfb43","last_reissued_at":"2026-05-18T02:54:46.453611Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:46.453611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anisotropic Diffusion on Curved Surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Colin B. Macdonald, Emma Naden, Thomas M\\\"arz","submitted_at":"2014-03-10T02:36:14Z","abstract_excerpt":"We demonstrate a method for filtering images defined on curved surfaces embedded in 3D. Applications are noise removal and the creation of artistic effects. Our approach relies on in-surface diffusion: we formulate Weickert's edge/coherence enhancing diffusion models in a surface-intrinsic way. These diffusion processes are anisotropic and the equations depend non-linearly on the data. The surface-intrinsic equations are dealt with the closest point method, a technique for solving partial differential equations (PDEs) on general surfaces. The resulting algorithm has a very simple structure: we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2131","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":"1403.2131","created_at":"2026-05-18T02:54:46.453686+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.2131v2","created_at":"2026-05-18T02:54:46.453686+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2131","created_at":"2026-05-18T02:54:46.453686+00:00"},{"alias_kind":"pith_short_12","alias_value":"6HEKOFBXISSO","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"6HEKOFBXISSOBNYO","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"6HEKOFBX","created_at":"2026-05-18T12:28:16.859392+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/6HEKOFBXISSOBNYOW5QV5DPQFQ","json":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ.json","graph_json":"https://pith.science/api/pith-number/6HEKOFBXISSOBNYOW5QV5DPQFQ/graph.json","events_json":"https://pith.science/api/pith-number/6HEKOFBXISSOBNYOW5QV5DPQFQ/events.json","paper":"https://pith.science/paper/6HEKOFBX"},"agent_actions":{"view_html":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ","download_json":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ.json","view_paper":"https://pith.science/paper/6HEKOFBX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.2131&json=true","fetch_graph":"https://pith.science/api/pith-number/6HEKOFBXISSOBNYOW5QV5DPQFQ/graph.json","fetch_events":"https://pith.science/api/pith-number/6HEKOFBXISSOBNYOW5QV5DPQFQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/action/storage_attestation","attest_author":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/action/author_attestation","sign_citation":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/action/citation_signature","submit_replication":"https://pith.science/pith/6HEKOFBXISSOBNYOW5QV5DPQFQ/action/replication_record"}},"created_at":"2026-05-18T02:54:46.453686+00:00","updated_at":"2026-05-18T02:54:46.453686+00:00"}