Pith Number

pith:6HORDXZV

pith:2026:6HORDXZVTK6B34CHRPKWZ7MJAB

not attested not anchored not stored refs resolved

Fast and Robust Mesh Simplification for Generated and Real-World 3D Assets

Brojeshwar Bhowmick, Kunal Bhosikar, Lokender Tiwari, Preet Savalia

A multi-term quadric error metric simplifies noisy 3D meshes faster while preserving sharp features better than standard approaches.

arxiv:2605.14029 v1 · 2026-05-13 · cs.GR · cs.CG

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\pithnumber{6HORDXZVTK6B34CHRPKWZ7MJAB}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

41 extracted · 41 resolved · 0 Pith anchors

[1] Designing and evaluating a mesh simplification algorithm for virtual reality.ACM Transac- tions on Multimedia Computing, Communications, and Ap- plications, 14:1–26, 2018 2018

[2] Robust low-poly meshing for general 3d mod- els.ACM Trans 2023

[3] P. Cignoni, C. Montani, and R. Scopigno. A comparison of mesh simplification algorithms.Computers & Graphics, 22 (1):37–54, 1998. 2 1998

[4] 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 1998

[5] Heckbert.Surface Simplifica- tion Using Quadric Error Metrics 2023

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:12.867989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1dd11df359abc1df0478bd56cfd890048f05bed530df659694009a1cbcd121d

Aliases

arxiv: 2605.14029 · arxiv_version: 2605.14029v1 · doi: 10.48550/arxiv.2605.14029 · pith_short_12: 6HORDXZVTK6B · pith_short_16: 6HORDXZVTK6B34CH · pith_short_8: 6HORDXZV

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6HORDXZVTK6B34CHRPKWZ7MJAB \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: f1dd11df359abc1df0478bd56cfd890048f05bed530df659694009a1cbcd121d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2212a6bcc0133dcb7d8f8d27a046660d5bfd16239a2c271be7d943047f007c4",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.GR",
    "submitted_at": "2026-05-13T18:41:40Z",
    "title_canon_sha256": "b0fe02f85687f4bddf118b7a3a15c2ef9a3553bb935d763cf8e70a235d778a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14029",
    "kind": "arxiv",
    "version": 1
  }
}