{"paper":{"title":"Fast and Robust Mesh Simplification for Generated and Real-World 3D Assets","license":"http://creativecommons.org/licenses/by-sa/4.0/","headline":"A multi-term quadric error metric simplifies noisy 3D meshes faster while preserving sharp features better than standard approaches.","cross_cats":["cs.CG"],"primary_cat":"cs.GR","authors_text":"Brojeshwar Bhowmick, Kunal Bhosikar, Lokender Tiwari, Preet Savalia","submitted_at":"2026-05-13T18:41:40Z","abstract_excerpt":"The rapid growth of 3D content from modern reconstruction and generative pipelines, such as neural rendering and large-scale 3D asset generation, has led to an abundance of dense, noisy, and often non-manifold meshes. While these representations achieve high visual fidelity, their complexity poses significant challenges for downstream applications in simulation, AR/VR, and scientific computing, where efficient and reliable geometry is essential. This necessitates mesh simplification methods that are not only fast and robust to \"in-the-wild\" inputs, but also capable of preserving fine geometric"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Our approach introduces a novel multi-term quadric error formulation that jointly encodes geometric deviation, boundary curvature, and surface normal consistency, enabling optimal vertex placement that preserves sharp features even under aggressive simplification.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the added boundary curvature and normal consistency terms produce measurably better vertex placement and feature preservation than standard quadric error without introducing new artifacts or requiring per-mesh parameter tuning.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"FA-QEM extends quadric error metrics with multi-term penalties on geometry, boundaries, and normals to preserve sharp features during aggressive simplification of complex 3D assets.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A multi-term quadric error metric simplifies noisy 3D meshes faster while preserving sharp features better than standard approaches.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"10f7bc1c7ca71ea9c344c3049f918315feac2d5cc1410e7139fbdf57ad066908"},"source":{"id":"2605.14029","kind":"arxiv","version":1},"verdict":{"id":"5b1142e4-4498-4a08-8631-fb3e4f56ac3c","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T05:45:30.406209Z","strongest_claim":"Our approach introduces a novel multi-term quadric error formulation that jointly encodes geometric deviation, boundary curvature, and surface normal consistency, enabling optimal vertex placement that preserves sharp features even under aggressive simplification.","one_line_summary":"FA-QEM extends quadric error metrics with multi-term penalties on geometry, boundaries, and normals to preserve sharp features during aggressive simplification of complex 3D assets.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the added boundary curvature and normal consistency terms produce measurably better vertex placement and feature preservation than standard quadric error without introducing new artifacts or requiring per-mesh parameter tuning.","pith_extraction_headline":"A multi-term quadric error metric simplifies noisy 3D meshes faster while preserving sharp features better than standard approaches."},"references":{"count":41,"sample":[{"doi":"","year":2018,"title":"Designing and evaluating a mesh simplification algorithm for virtual reality.ACM Transac- tions on Multimedia Computing, Communications, and Ap- plications, 14:1–26, 2018","work_id":"c333d63d-4dc0-4a6c-90bb-5d8f171e82d1","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"Robust low-poly meshing for general 3d mod- els.ACM Trans","work_id":"9e97e9fc-0491-4679-af90-8633ecb6abee","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"P. Cignoni, C. Montani, and R. Scopigno. A comparison of mesh simplification algorithms.Computers & Graphics, 22 (1):37–54, 1998. 2","work_id":"97c29ea7-cafd-442d-b870-3fefb6b0a49f","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1998,"title":"M. Garland and P.S. Heckbert. Simplifying surfaces with color and texture using quadric error metrics. InProceed- ings Visualization ’98 (Cat. No.98CB36276), pages 263– 269, 1998. 2, 4","work_id":"768ef1da-a496-4aaf-931f-981eeafd8a82","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"Heckbert.Surface Simplifica- tion Using Quadric Error Metrics","work_id":"57e16e46-d1a4-422a-959a-4231cb100d90","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":41,"snapshot_sha256":"146e75a9a00daf82a4d32cdf850b089f25ce285cb91e072a74470ce2a3fb6fab","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8131c2b9bcd19b5b4867e0bed68ef9b37a503f6b6f182882ef12a01231267438"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}