---
_id: '65440'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>We present
    a novel algorithm for quantization and subsequent hexahedral mesh generation from
    seamless volumetric maps. Quantization is the process of choosing integers that
    represent the numbers of hexahedral elements to be placed in each region of the
    volume, and transforming the seamless map into an integer‐grid map matching that
    choice, inducing a hexahedral mesh. Previous work computes such quantizations
    under the restriction of a fixed predetermined singularity graph. Our novel approach
    allows for implicit modification and, in particular, simplification of the map's
    singularity structure wherever that benefits the chosen objective, such as matching
    target hexahedron sizes as closely as possible. It comes with two novel ingredients:
    A feature‐focused distortion measure guiding the quantization, and constraints
    ensuring map injectivity and structure preservation of geometric and topological
    features, both without relying on a fixed singularity structure. We demonstrate
    the benefit of the added flexibility offered by this approach: it allows for the
    generation of hexahedral meshes that more accurately match a desired resolution
    globally, as well as of meshes exhibiting a simpler block structure.</jats:p>"
article_number: e70349
author:
- first_name: Hendrik
  full_name: Brückler, Hendrik
  last_name: Brückler
- first_name: Marcel
  full_name: Campen, Marcel
  id: '114904'
  last_name: Campen
  orcid: 0000-0003-2340-3462
citation:
  ama: Brückler H, Campen M. Volume Quantization with Flexible Singularities for Hexahedral
    Meshing. <i>Computer Graphics Forum</i>. Published online 2026. doi:<a href="https://doi.org/10.1111/cgf.70349">10.1111/cgf.70349</a>
  apa: Brückler, H., &#38; Campen, M. (2026). Volume Quantization with Flexible Singularities
    for Hexahedral Meshing. <i>Computer Graphics Forum</i>, Article e70349. <a href="https://doi.org/10.1111/cgf.70349">https://doi.org/10.1111/cgf.70349</a>
  bibtex: '@article{Brückler_Campen_2026, title={Volume Quantization with Flexible
    Singularities for Hexahedral Meshing}, DOI={<a href="https://doi.org/10.1111/cgf.70349">10.1111/cgf.70349</a>},
    number={e70349}, journal={Computer Graphics Forum}, publisher={Wiley}, author={Brückler,
    Hendrik and Campen, Marcel}, year={2026} }'
  chicago: Brückler, Hendrik, and Marcel Campen. “Volume Quantization with Flexible
    Singularities for Hexahedral Meshing.” <i>Computer Graphics Forum</i>, 2026. <a
    href="https://doi.org/10.1111/cgf.70349">https://doi.org/10.1111/cgf.70349</a>.
  ieee: 'H. Brückler and M. Campen, “Volume Quantization with Flexible Singularities
    for Hexahedral Meshing,” <i>Computer Graphics Forum</i>, Art. no. e70349, 2026,
    doi: <a href="https://doi.org/10.1111/cgf.70349">10.1111/cgf.70349</a>.'
  mla: Brückler, Hendrik, and Marcel Campen. “Volume Quantization with Flexible Singularities
    for Hexahedral Meshing.” <i>Computer Graphics Forum</i>, e70349, Wiley, 2026,
    doi:<a href="https://doi.org/10.1111/cgf.70349">10.1111/cgf.70349</a>.
  short: H. Brückler, M. Campen, Computer Graphics Forum (2026).
date_created: 2026-04-15T07:32:52Z
date_updated: 2026-04-15T08:06:49Z
department:
- _id: '969'
doi: 10.1111/cgf.70349
language:
- iso: eng
publication: Computer Graphics Forum
publication_identifier:
  issn:
  - 0167-7055
  - 1467-8659
publication_status: published
publisher: Wiley
status: public
title: Volume Quantization with Flexible Singularities for Hexahedral Meshing
type: journal_article
user_id: '117512'
year: '2026'
...