{
  "abstract": "Most three-dimensional (3D) generative methods construct shapes by learning distributions over geometric representations, optimizing implicit fields, synthesizing point sets, or reconstructing scenes from observations. This paper proposes Splitting-and-Branching 3D Generation (SB3G), a structural generation framework in which a 3D object is produced through successive splitting events, branch creation, substructure inheritance, and recursive geometric expansion. Rather than treating a complete shape as the primary generation unit, SB3G treats structural components and their relationships as evolving entities. Given an initial seed structure, a generation controller determines whether to preserve, split, branch, terminate, or refine individual components. Newly created components inherit selected geometric and semantic attributes from their parent structures while introducing controlled variations. A topology-aware constraint mechanism regulates connectivity, intersection, collision, component size, and geometric continuity. The framework is designed to accommodate tree-like structures, crack networks, branching vessels, porous structures, and recursively organized fractal geometries. We formulate SB3G as a variable-cardinality structural growth process, define its state representation, transition operators, objective function, and termination criteria, and outline a practical implementation and evaluation protocol. SB3G is a proposed methodological framework rather than an experimentally validated model. Its potential contribution lies in unifying recursive structural branching and topology-aware geometric growth within a single generation formulation, while its novelty and effectiveness remain subject to comparison with existing procedural, graph-based, fracture-generation, and neural 3D modeling methods.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Jincheng Zhang",
      "orcid": "0009-0005-1860-0009"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ax093tvcz06aw.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23636419",
  "fulltext_url": null,
  "id": "ax093tvcz06aw",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23636419",
  "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": [],
  "openalex": null,
  "pdf_url": "https://zenodo.org/api/records/23636419/files/Splitting-and-Branching%203D%20Generation.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ax093tvcz06aw.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T12:21:22Z",
      "native_id": "23636419",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23636419"
    }
  ],
  "subjects": [],
  "title": "Splitting-and-Branching 3D Generation: A Recursive Structural Growth Framework for Three-Dimensional Shape Synthesis",
  "title_text": "Splitting-and-Branching 3D Generation: A Recursive Structural Growth Framework for Three-Dimensional Shape Synthesis",
  "type": "preprint",
  "updated_at": "2026-11-08T12:21:22Z",
  "url": "https://research.draconitic.com/paper/ax093tvcz06aw",
  "venue": "Zenodo",
  "versions": []
}