{
  "abstract": "Advanced manufacturing technologies allow for the production of intricate parts featuring high shape complexity and spatially-varying material composition. Data fusion of point clouds with chromatic attributes provides 4D point clouds, a compact and informative representation that encodes both shape and material information. In this paper, we present a registration-free framework for Simultaneous Monitoring of shApe and Color (SMAC) via 4D point clouds. The proposed framework leverages Laplace-Beltrami operator spectral properties to capture and monitor geometric features and the relationship between shape and surface color. A combined monitoring scheme is proposed to effectively detect shape deformations and color anomalies, along with a spatially-aware post-signal diagnostic procedure to determine the source of change and localize color anomalies. Importantly, neither component relies on registration or mesh reconstruction, eliminating error-prone and computationally expensive preprocessing steps. A Monte Carlo simulation study and a case study on functionally graded materials demonstrate that SMAC achieves effective detection performance, particularly for subtle defects, while providing diagnostic capabilities to identify the source and location of anomalies.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.08753",
  "author_total": 3,
  "authors": [
    {
      "name": "Mariafrancesca Patalano"
    },
    {
      "name": "Giovanna Capizzi"
    },
    {
      "name": "Kamran Paynabar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/df2rc8d06nctx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.08753",
  "fulltext_url": null,
  "id": "df2rc8d06nctx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.08753",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.CV"
    ],
    [
      "arxiv",
      "stat.ML"
    ],
    [
      "openalex",
      "1804|Advanced Statistical Process Monitoring"
    ]
  ],
  "openalex": "W7160887609",
  "pdf_url": "https://arxiv.org/pdf/2605.08753",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/df2rc8d06nctx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:54Z",
      "native_id": "2605.08753",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.08753"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:stat.ML",
      "subfield": "statistics"
    }
  ],
  "title": "Simultaneous Monitoring of Shape and Surface Color via 4D Point Clouds: A Registration-free Approach",
  "title_text": "Simultaneous Monitoring of Shape and Surface Color via 4D Point Clouds: A Registration-free Approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:54Z",
  "url": "https://research.draconitic.com/paper/df2rc8d06nctx",
  "venue": "arXiv",
  "versions": []
}