dorsal/arxiv
View SchemaStatistical skull models from 3D X-ray images
| Authors | Maxime Berar, Michel Desvignes, Gérard Bailly, Yohan Payan |
|---|---|
| Categories | |
| ArXiv ID | physics/0610182 |
| URL | https://arxiv.org/abs/physics/0610182 |
Abstract
We present 2 statistical models of the skull and mandible built upon an elastic registration method of 3D meshes. The aim of this work is to relate degrees of freedom of skull anatomy, as static relations are of main interest for anthropology and legal medicine. Statistical models can effectively provide reconstructions together with statistical precision. In our applications, patient-specific meshes of the skull and the mandible are high-density meshes, extracted from 3D CT scans. All our patient-specific meshes are registrated in a subject-shared reference system using our 3D-to-3D elastic matching algorithm. Registration is based upon the minimization of a distance between the high density mesh and a shared low density mesh, defined on the vertexes, in a multi resolution approach. A Principal Component analysis is performed on the normalised registrated data to build a statistical linear model of the skull and mandible shape variation. The accuracy of the reconstruction is under the millimetre in the shape space (after rigid registration). Reconstruction errors for Scan data of tests individuals are below registration noise. To take in count the articulated aspect of the skull in our model, Kernel Principal Component Analysis is applied, extracting a non-linear parameter associated with mandible position, therefore building a statistical articulated 3D model of the skull.
{
"annotation_id": "2eeaa32d-52f4-487e-928d-102dd35c102c",
"date_created": "2026-03-02T18:01:14.816000Z",
"date_modified": "2026-03-02T18:01:14.816000Z",
"file_hash": "6f5a5e1c5aed4345db34ff7ae29160c0b90850402cf8c200fde1741f12f87bbf",
"private": false,
"record": {
"abstract": "We present 2 statistical models of the skull and mandible built upon an\nelastic registration method of 3D meshes. The aim of this work is to relate\ndegrees of freedom of skull anatomy, as static relations are of main interest\nfor anthropology and legal medicine. Statistical models can effectively provide\nreconstructions together with statistical precision. In our applications,\npatient-specific meshes of the skull and the mandible are high-density meshes,\nextracted from 3D CT scans. All our patient-specific meshes are registrated in\na subject-shared reference system using our 3D-to-3D elastic matching\nalgorithm. Registration is based upon the minimization of a distance between\nthe high density mesh and a shared low density mesh, defined on the vertexes,\nin a multi resolution approach. A Principal Component analysis is performed on\nthe normalised registrated data to build a statistical linear model of the\nskull and mandible shape variation. The accuracy of the reconstruction is under\nthe millimetre in the shape space (after rigid registration). Reconstruction\nerrors for Scan data of tests individuals are below registration noise. To take\nin count the articulated aspect of the skull in our model, Kernel Principal\nComponent Analysis is applied, extracting a non-linear parameter associated\nwith mandible position, therefore building a statistical articulated 3D model\nof the skull.",
"arxiv_id": "physics/0610182",
"authors": [
"Maxime Berar",
"Michel Desvignes",
"G\u00e9rard Bailly",
"Yohan Payan"
],
"categories": [
"physics.med-ph",
"math.ST",
"stat.TH"
],
"title": "Statistical skull models from 3D X-ray images",
"url": "https://arxiv.org/abs/physics/0610182"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "97e40993-9806-45aa-b4c0-5bcff01d6d48",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}