{
  "abstract": "This technical note presents mathematical derivations that establish the relationship between numerosity and the Fourier power spectrum of dot arrays, a standard stimulus in biological and psychological research in numerosity perception (e.g., DeWind et al. (2015); Park and Huber (2022). We derive a closed-form solution for the radially averaged power spectrum of images depicting arrays of identical dots as a function of dot number, radius, spacing, and spatial frequency. We also demonstrate that an unconventional distillation of the Fourier coefficients, as done in Paul et al. (2022), reveals an artifactual relationship between that metric and numerosity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Joonkoo Park"
    },
    {
      "name": "Shimin Hu"
    },
    {
      "name": "Ruoyu Yuan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/atwtjkjzv0479.bib",
  "cited_by": 0,
  "doi": "10.31234/osf.io/zs82e_v1",
  "fulltext_url": null,
  "id": "atwtjkjzv0479",
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  "landing_url": "https://osf.io/preprints/psyarxiv/zs82e_v1/",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "bepress",
      "Neuroscience"
    ],
    [
      "openalex",
      "2805|Visual perception and processing mechanisms"
    ]
  ],
  "openalex": "W7214203905",
  "pdf_url": "https://osf.io/zs82e/download",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/atwtjkjzv0479.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:55Z",
      "native_id": "zs82e",
      "source": "osf",
      "url": "https://osf.io/preprints/psyarxiv/zs82e_v1/"
    }
  ],
  "subjects": [
    {
      "field": "biology",
      "origin": "bepress:Neuroscience",
      "subfield": "neuroscience"
    }
  ],
  "title": "The relationship between numerosity and the Fourier power spectrum of dot arrays",
  "title_text": "The relationship between numerosity and the Fourier power spectrum of dot arrays",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:55Z",
  "url": "https://research.draconitic.com/paper/atwtjkjzv0479",
  "venue": "PsyArXiv",
  "versions": []
}