{
  "annotation_id": "1b55906a-4c7d-4d34-aecd-6a742d8c30a8",
  "date_created": "2026-02-17T05:53:08.035000Z",
  "date_modified": "2026-02-17T05:53:08.035000Z",
  "file_hash": "f0a35820fbf4f0db2165411794c17023f675edac4e1e535ad84a9b53af094834",
  "private": false,
  "record": {
    "abstract": "Rendering reflections in curved mirrors is crucial for enhancing the realism in computer-generated hologram (CGH), yet it poses a fundamental challenge due to the unique computational principles of CGH. Conventional methods using B\\\u0027ezier clipping are computationally prohibitive, and a previously proposed mirror surface subdivision method suffered from the computation time increasing with mirror curvature. To address these limitations, this paper proposes a novel calculation method based on Fermat\u0027s principle that directly and efficiently determines the reflection point by minimizing the optical path length from a point light source to a hologram pixel via the mirror surface, using Newton\u0027s method for optimization. Experimental results demonstrate that this method significantly reduces computation time compared to previous approaches. Furthermore, it enables the rendering of multiple reflections from several mirrors, a capability that was challenging for conventional techniques.",
    "arxiv_id": "2601.06459",
    "authors": [
      "Kodai Ono",
      "Seok Kang",
      "Yuji Sakamoto"
    ],
    "categories": [
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "A High-Speed CGH Calculation Method for Mirror Images on B\\\u0027ezier Surfaces using Optical Path Length Minimization",
    "url": "https://arxiv.org/abs/2601.06459",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ca8ae194-e215-4eea-9b80-6d00684569c7",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}