Pith Number

pith:XC3D5VJF

pith:2026:XC3D5VJFPW4G3HEV3JSROXA4Z3

not attested not anchored not stored refs pending

Analytical Modeling and Correction of Distance Error in Homography-Based Ground-Plane Mapping

Marcin Iwanowski, Mateusz Szulc

Homography perturbations produce distance errors that grow quadratically with true ground distance from the camera.

arxiv:2604.10805 v2 · 2026-04-12 · cs.CV

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\pithnumber{XC3D5VJFPW4G3HEV3JSROXA4Z3}

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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

This paper derives an explicit relationship between homography perturbations and the resulting distance error, showing that the error grows approximately quadratically with the true distance from the camera.

C2weakest assumption

The ground is a perfect plane and homography perturbations from manual initialization are the dominant source of systematic distance error, with the quadratic model holding under the tested conditions.

C3one line summary

Distance errors from homography perturbations in ground-plane mapping grow quadratically with true distance, with regression correction more accurate and gradient descent more robust in large simulations.

Receipt and verification

First computed	2026-06-01T01:03:52.966466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8b63ed5257db86d9c95da65175c1ccef5783b59caa6d2aba9dc4631573f65e6

Aliases

arxiv: 2604.10805 · arxiv_version: 2604.10805v2 · doi: 10.48550/arxiv.2604.10805 · pith_short_12: XC3D5VJFPW4G · pith_short_16: XC3D5VJFPW4G3HEV · pith_short_8: XC3D5VJF

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XC3D5VJFPW4G3HEV3JSROXA4Z3 \
  | 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: b8b63ed5257db86d9c95da65175c1ccef5783b59caa6d2aba9dc4631573f65e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc0904303c163280767d5eb2b83a27469f30db3e62eb54e7cc0833fb21d6c71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CV",
    "submitted_at": "2026-04-12T20:33:09Z",
    "title_canon_sha256": "29abdb1403d0327e2248f345bfa6a914c61ffbadf8968b7fe25929849038fd64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.10805",
    "kind": "arxiv",
    "version": 2
  }
}