{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:B2E7RIUZHJ2LWK2KD24ZEJIDRM","short_pith_number":"pith:B2E7RIUZ","canonical_record":{"source":{"id":"1806.10472","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T13:28:46Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"7c2ac089d522ab6cce7ec353244ee60d563805a6b2049e95a6432b1d713ebf81","abstract_canon_sha256":"a931c3c1da69300d7e954d14053403b5e802180810727ab550031d2e4c8f97f7"},"schema_version":"1.0"},"canonical_sha256":"0e89f8a2993a74bb2b4a1eb99225038b3e7de18c48bb79aafd25c49956288c2f","source":{"kind":"arxiv","id":"1806.10472","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10472","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10472v1","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10472","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"pith_short_12","alias_value":"B2E7RIUZHJ2L","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B2E7RIUZHJ2LWK2K","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B2E7RIUZ","created_at":"2026-05-18T12:32:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:B2E7RIUZHJ2LWK2KD24ZEJIDRM","target":"record","payload":{"canonical_record":{"source":{"id":"1806.10472","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T13:28:46Z","cross_cats_sorted":["math.NA"],"title_canon_sha256":"7c2ac089d522ab6cce7ec353244ee60d563805a6b2049e95a6432b1d713ebf81","abstract_canon_sha256":"a931c3c1da69300d7e954d14053403b5e802180810727ab550031d2e4c8f97f7"},"schema_version":"1.0"},"canonical_sha256":"0e89f8a2993a74bb2b4a1eb99225038b3e7de18c48bb79aafd25c49956288c2f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:12:12.299913Z","signature_b64":"qh712Ps7W+KrQ4IZSdri/4ZEb+Tq2W79iWdMILjOhBGy+PGFq9HDrd7jwpqq0FgFrqB+2970pwtKpKNiRcGhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e89f8a2993a74bb2b4a1eb99225038b3e7de18c48bb79aafd25c49956288c2f","last_reissued_at":"2026-05-18T00:12:12.299282Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:12:12.299282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1806.10472","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hBOqRRTQpnfajl3W79aTYGkrDjggU77Lj8J7wD60E3X44rMsQ2qbSVkzdKNMmybEhi4gdwaF1SwmDdKnzMg5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:58:23.415200Z"},"content_sha256":"595b4ba898984d6faa1d107199f3e306dd1ed226ae874d3f12e0634f3c12b35e","schema_version":"1.0","event_id":"sha256:595b4ba898984d6faa1d107199f3e306dd1ed226ae874d3f12e0634f3c12b35e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:B2E7RIUZHJ2LWK2KD24ZEJIDRM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homogeneity of a region in the logarithmic image processing framework: application to region growing algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.NA"],"primary_cat":"cs.CV","authors_text":"Guillaume Noyel (IPRI, Michel Jourlin (IPRI), SIGPH@iPRI)","submitted_at":"2018-06-27T13:28:46Z","abstract_excerpt":"The current paper deals with the role played by Logarithmic Image Processing (LIP) operators for evaluating the homogeneity of a region. Two new criteria of heterogeneity are introduced, one based on the LIP addition and the other based on the LIP scalar multiplication. Such tools are able to manage Region Growing algorithms following the Revol's technique: starting from an initial seed, they consist of applying specific dilations to the growing region while its inhomogeneity level does not exceed a certain level. The new approaches we introduce are significantly improving Revol's existing tec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10472","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:12:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X4uFWARF7nl1rXnZFXMiyFwPsALr/+ugvBMKkUFC4YQUfDCDVv5TGnliETXr7sO/Wza+6yoUpPD9wI7TTfASAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:58:23.415943Z"},"content_sha256":"5daa59abf94b10139cc46747b8872408991526b8d614ee2ee8447d226279f109","schema_version":"1.0","event_id":"sha256:5daa59abf94b10139cc46747b8872408991526b8d614ee2ee8447d226279f109"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/bundle.json","state_url":"https://pith.science/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T01:58:23Z","links":{"resolver":"https://pith.science/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM","bundle":"https://pith.science/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/bundle.json","state":"https://pith.science/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B2E7RIUZHJ2LWK2KD24ZEJIDRM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:B2E7RIUZHJ2LWK2KD24ZEJIDRM","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a931c3c1da69300d7e954d14053403b5e802180810727ab550031d2e4c8f97f7","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T13:28:46Z","title_canon_sha256":"7c2ac089d522ab6cce7ec353244ee60d563805a6b2049e95a6432b1d713ebf81"},"schema_version":"1.0","source":{"id":"1806.10472","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10472","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10472v1","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10472","created_at":"2026-05-18T00:12:12Z"},{"alias_kind":"pith_short_12","alias_value":"B2E7RIUZHJ2L","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_16","alias_value":"B2E7RIUZHJ2LWK2K","created_at":"2026-05-18T12:32:13Z"},{"alias_kind":"pith_short_8","alias_value":"B2E7RIUZ","created_at":"2026-05-18T12:32:13Z"}],"graph_snapshots":[{"event_id":"sha256:5daa59abf94b10139cc46747b8872408991526b8d614ee2ee8447d226279f109","target":"graph","created_at":"2026-05-18T00:12:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The current paper deals with the role played by Logarithmic Image Processing (LIP) operators for evaluating the homogeneity of a region. Two new criteria of heterogeneity are introduced, one based on the LIP addition and the other based on the LIP scalar multiplication. Such tools are able to manage Region Growing algorithms following the Revol's technique: starting from an initial seed, they consist of applying specific dilations to the growing region while its inhomogeneity level does not exceed a certain level. The new approaches we introduce are significantly improving Revol's existing tec","authors_text":"Guillaume Noyel (IPRI, Michel Jourlin (IPRI), SIGPH@iPRI)","cross_cats":["math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T13:28:46Z","title":"Homogeneity of a region in the logarithmic image processing framework: application to region growing algorithms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10472","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:595b4ba898984d6faa1d107199f3e306dd1ed226ae874d3f12e0634f3c12b35e","target":"record","created_at":"2026-05-18T00:12:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a931c3c1da69300d7e954d14053403b5e802180810727ab550031d2e4c8f97f7","cross_cats_sorted":["math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T13:28:46Z","title_canon_sha256":"7c2ac089d522ab6cce7ec353244ee60d563805a6b2049e95a6432b1d713ebf81"},"schema_version":"1.0","source":{"id":"1806.10472","kind":"arxiv","version":1}},"canonical_sha256":"0e89f8a2993a74bb2b4a1eb99225038b3e7de18c48bb79aafd25c49956288c2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e89f8a2993a74bb2b4a1eb99225038b3e7de18c48bb79aafd25c49956288c2f","first_computed_at":"2026-05-18T00:12:12.299282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:12:12.299282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qh712Ps7W+KrQ4IZSdri/4ZEb+Tq2W79iWdMILjOhBGy+PGFq9HDrd7jwpqq0FgFrqB+2970pwtKpKNiRcGhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:12:12.299913Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10472","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:595b4ba898984d6faa1d107199f3e306dd1ed226ae874d3f12e0634f3c12b35e","sha256:5daa59abf94b10139cc46747b8872408991526b8d614ee2ee8447d226279f109"],"state_sha256":"59383a8df70e2af53309d062c87bd532fe2cb898cd8d7fa2f6eab3b168b5f7f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yiKxL7eLyxSyP/UXPmfX4UPuubaj/08JVExuHnf69D/cK/3NF3egGDMTFChPeVMNrCuou/FRYCVyHBSvLxzuDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:58:23.420530Z","bundle_sha256":"fd28967278624a1614e0b169874cfc50db84bd788a0a0db8d7ea5086bd5844c7"}}