{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MX7H6LXL55H5ZUMUF77IYQLRX3","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":"245578e4e03e1503ccd9cb5b0b408cc1e27bdce7565b634f73f0e2518fc69625","cross_cats_sorted":["cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T11:37:24Z","title_canon_sha256":"3c73033f066c86f8f12f9bc57e07a02ffc3a97fcf8320edcda2d8998e5f114d7"},"schema_version":"1.0","source":{"id":"1806.10417","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.10417","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"arxiv_version","alias_value":"1806.10417v2","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.10417","created_at":"2026-05-18T00:03:16Z"},{"alias_kind":"pith_short_12","alias_value":"MX7H6LXL55H5","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MX7H6LXL55H5ZUMU","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MX7H6LXL","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:876279a53fecad3ac28c60d762dd12f751f7c3eb2ee14cf18ec38cc0fd4966cc","target":"graph","created_at":"2026-05-18T00:03:16Z","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":"We present a novel method to model and calculate deformation fields between shapes embedded in $\\mathbb{R}^D$. Our framework combines naturally interpolating the two input shapes and calculating correspondences at the same time. The key idea is to compute a divergence-free deformation field represented in a coarse-to-fine basis using the Karhunen-Lo\\`eve expansion. The advantages are that there is no need to discretize the embedding space and the deformation is volume-preserving. Furthermore, the optimization is done on downsampled versions of the shapes but the morphing can be applied to any ","authors_text":"Daniel Cremers, Marvin Eisenberger, Zorah L\\\"ahner","cross_cats":["cs.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T11:37:24Z","title":"Divergence-Free Shape Interpolation and Correspondence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.10417","kind":"arxiv","version":2},"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:db0af630e8bd21396f5643eb6c99138260aa4cfdbff39cc370f25c455be2174c","target":"record","created_at":"2026-05-18T00:03:16Z","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":"245578e4e03e1503ccd9cb5b0b408cc1e27bdce7565b634f73f0e2518fc69625","cross_cats_sorted":["cs.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CV","submitted_at":"2018-06-27T11:37:24Z","title_canon_sha256":"3c73033f066c86f8f12f9bc57e07a02ffc3a97fcf8320edcda2d8998e5f114d7"},"schema_version":"1.0","source":{"id":"1806.10417","kind":"arxiv","version":2}},"canonical_sha256":"65fe7f2eebef4fdcd1942ffe8c4171beeebcda22d4b0b16872a1a986131e2df3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"65fe7f2eebef4fdcd1942ffe8c4171beeebcda22d4b0b16872a1a986131e2df3","first_computed_at":"2026-05-18T00:03:16.077568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:16.077568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GRGa9c8QfFbC4drkOrDmJNSqYzbxWdPBYn9DiN3NdVi/siXrOzuurLzzcMPyn3Ki2R8sQFyT8XSyB3i+cyZuDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:16.078080Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.10417","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db0af630e8bd21396f5643eb6c99138260aa4cfdbff39cc370f25c455be2174c","sha256:876279a53fecad3ac28c60d762dd12f751f7c3eb2ee14cf18ec38cc0fd4966cc"],"state_sha256":"85e23135274987aaf4c879d5dbbe6d07c8a5559dcfe9075aba0716e201457618"}