Pith Number

pith:4MVICZEY

pith:2026:4MVICZEYJ3CRQHS2Z6FKXS4PVL

not attested not anchored not stored refs resolved

Structured Analytic Coherent Point Drift for Non-Rigid Point Set Registration

Haiyong Zheng, Wei Feng

Coupling CPD posteriors with structured analytic mappings makes non-rigid registration scale with function order rather than point count.

arxiv:2605.00934 v2 · 2026-05-01 · cs.LG · cs.CV · stat.ML

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\pithnumber{4MVICZEYJ3CRQHS2Z6FKXS4PVL}

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Record completeness

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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

By coupling the Gaussian-mixture posterior mechanism of CPD with Structured Analytic Mappings (SAM), the method obtains a deformation model whose coefficient dimension is governed by the ambient dimension and analytic order rather than by the number of moving points.

C2weakest assumption

That an increasing-degree continuation strategy with decreasing stage lengths will first stabilize the posterior correspondence structure before higher-order modes refine nonlinear residuals, as stated in the description of the implementation approach.

C3one line summary

Analytic-CPD lifts CPD's non-rigid M-step to structured analytic mappings with an increasing-degree continuation strategy, decoupling deformation coefficients from the number of moving points.

References

37 extracted · 37 resolved · 0 Pith anchors

[1] A Method for Registration of 3-D Shapes, 1992

[2] Non-Rigid Point Set Registration: Coherent Point Drift, 2006

[3] Point set registration: Coherent point drift, 2010

[4] Structured analytic mappings for point set registration, 2026

[5] Iterative point matching for registration of free-form curves and surfaces, 1994

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:01:42.481659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32a8164984ec5181e5acf8aabcb8faaea4c3c9a86c535a745eac178dce6a540

Aliases

arxiv: 2605.00934 · arxiv_version: 2605.00934v2 · doi: 10.48550/arxiv.2605.00934 · pith_short_12: 4MVICZEYJ3CR · pith_short_16: 4MVICZEYJ3CRQHS2 · pith_short_8: 4MVICZEY

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4MVICZEYJ3CRQHS2Z6FKXS4PVL \
  | 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: e32a8164984ec5181e5acf8aabcb8faaea4c3c9a86c535a745eac178dce6a540

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d5b428f08d9b03b45762a34c228821c5b5684f5c97a4888b2bd526016de339",
    "cross_cats_sorted": [
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-05-01T03:13:01Z",
    "title_canon_sha256": "14bb402f95c5b04e2865be1787f89a98aae74b4cf25a148e506decb45210fad3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.00934",
    "kind": "arxiv",
    "version": 2
  }
}