{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ZXHLKFMXDFBDYALGJEROEFH225","short_pith_number":"pith:ZXHLKFMX","schema_version":"1.0","canonical_sha256":"cdceb5159719423c01664922e214fad7783911131bd276fe3477abdcc5edd998","source":{"kind":"arxiv","id":"1708.07718","version":1},"attestation_state":"computed","paper":{"title":"Linear Differential Constraints for Photo-polarimetric Height Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CV","authors_text":"Dizhong Zhu, Edwin R. Hancock, Ravi Ramamoorthi, Silvia Tozza, William A. P. Smith","submitted_at":"2017-08-25T13:01:05Z","abstract_excerpt":"In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a unified partial differential system. Our method uses the image ratios technique to combine shading and polarisation information in order to directly reconstruct surface height, without first computing surface normal vectors. Moreover, we are able to remove the non-linearities so that the problem reduces to solving a linear differential problem. We also introduc"},"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":"1708.07718","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2017-08-25T13:01:05Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"d46c73164c74019b2aa5b8d6f5987ef5f86d7040a0d2c0ad2d33f6379790d006","abstract_canon_sha256":"30cb312df5215f21d2d188ed0850d76dbfb34b5b9b1d61a94628b134979d87a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:36:42.242205Z","signature_b64":"L6aCmS+00BiU8+LZbVHL9zR0dH1MPMXo7qlYQZax6FhXX887zcJH9d9y/gVUi4Wo0L0z2GJeBiDQW+1PHcK6DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cdceb5159719423c01664922e214fad7783911131bd276fe3477abdcc5edd998","last_reissued_at":"2026-05-18T00:36:42.241491Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:36:42.241491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Linear Differential Constraints for Photo-polarimetric Height Estimation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.CV","authors_text":"Dizhong Zhu, Edwin R. Hancock, Ravi Ramamoorthi, Silvia Tozza, William A. P. Smith","submitted_at":"2017-08-25T13:01:05Z","abstract_excerpt":"In this paper we present a differential approach to photo-polarimetric shape estimation. We propose several alternative differential constraints based on polarisation and photometric shading information and show how to express them in a unified partial differential system. Our method uses the image ratios technique to combine shading and polarisation information in order to directly reconstruct surface height, without first computing surface normal vectors. Moreover, we are able to remove the non-linearities so that the problem reduces to solving a linear differential problem. We also introduc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07718","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":"1708.07718","created_at":"2026-05-18T00:36:42.241588+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07718v1","created_at":"2026-05-18T00:36:42.241588+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07718","created_at":"2026-05-18T00:36:42.241588+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZXHLKFMXDFBD","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZXHLKFMXDFBDYALG","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZXHLKFMX","created_at":"2026-05-18T12:31:59.375834+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/ZXHLKFMXDFBDYALGJEROEFH225","json":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225.json","graph_json":"https://pith.science/api/pith-number/ZXHLKFMXDFBDYALGJEROEFH225/graph.json","events_json":"https://pith.science/api/pith-number/ZXHLKFMXDFBDYALGJEROEFH225/events.json","paper":"https://pith.science/paper/ZXHLKFMX"},"agent_actions":{"view_html":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225","download_json":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225.json","view_paper":"https://pith.science/paper/ZXHLKFMX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07718&json=true","fetch_graph":"https://pith.science/api/pith-number/ZXHLKFMXDFBDYALGJEROEFH225/graph.json","fetch_events":"https://pith.science/api/pith-number/ZXHLKFMXDFBDYALGJEROEFH225/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225/action/storage_attestation","attest_author":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225/action/author_attestation","sign_citation":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225/action/citation_signature","submit_replication":"https://pith.science/pith/ZXHLKFMXDFBDYALGJEROEFH225/action/replication_record"}},"created_at":"2026-05-18T00:36:42.241588+00:00","updated_at":"2026-05-18T00:36:42.241588+00:00"}