---
_id: '65554'
abstract:
- lang: eng
  text: "<jats:title>Abstract</jats:title>\r\n                  <jats:p>\r\n                    An
    algorithm for cutting solid objects in a topology‐controlled manner is presented.
    Concretely, given a loop on the object boundary, a disk‐topology cut surface bounded
    by the loop is constructed in the interior. In contrast to various previous approaches,
    both disk topology and conformance to the prescribed loop are ensured by construction,
    while supporting not only contractible but also incontractible loops on the boundaries
    of manifold objects of higher genus and arbitrary non‐trivial topology. We describe
    an implementation of this algorithm in the discrete setting, with triangle mesh
    cut surfaces embedded in tetrahedral mesh objects. Making use of this novel cutting
    algorithm, we describe a method for the reliable construction of bijective volumetric
    maps between solid objects, demonstrating the algorithm's utility. This mapping
    method overcomes restrictions of the state of the art to topological balls, extending
    coverage to objects of arbitrary genus, specifically so‐called\r\n                    <jats:italic>1</jats:italic>\r\n
    \                   ‐handlebodies.\r\n                  </jats:p>"
article_number: e70379
author:
- first_name: Steffen
  full_name: Hinderink, Steffen
  id: '116615'
  last_name: Hinderink
- first_name: Marcel
  full_name: Campen, Marcel
  id: '114904'
  last_name: Campen
  orcid: 0000-0003-2340-3462
citation:
  ama: 'Hinderink S, Campen M. DiskScissors: Cutting Arbitrary‐Topology Solids for
    Bijective Mapping. <i>Computer Graphics Forum</i>. Published online 2026. doi:<a
    href="https://doi.org/10.1111/cgf.70379">10.1111/cgf.70379</a>'
  apa: 'Hinderink, S., &#38; Campen, M. (2026). DiskScissors: Cutting Arbitrary‐Topology
    Solids for Bijective Mapping. <i>Computer Graphics Forum</i>, Article e70379.
    <a href="https://doi.org/10.1111/cgf.70379">https://doi.org/10.1111/cgf.70379</a>'
  bibtex: '@article{Hinderink_Campen_2026, title={DiskScissors: Cutting Arbitrary‐Topology
    Solids for Bijective Mapping}, DOI={<a href="https://doi.org/10.1111/cgf.70379">10.1111/cgf.70379</a>},
    number={e70379}, journal={Computer Graphics Forum}, publisher={Wiley}, author={Hinderink,
    Steffen and Campen, Marcel}, year={2026} }'
  chicago: 'Hinderink, Steffen, and Marcel Campen. “DiskScissors: Cutting Arbitrary‐Topology
    Solids for Bijective Mapping.” <i>Computer Graphics Forum</i>, 2026. <a href="https://doi.org/10.1111/cgf.70379">https://doi.org/10.1111/cgf.70379</a>.'
  ieee: 'S. Hinderink and M. Campen, “DiskScissors: Cutting Arbitrary‐Topology Solids
    for Bijective Mapping,” <i>Computer Graphics Forum</i>, Art. no. e70379, 2026,
    doi: <a href="https://doi.org/10.1111/cgf.70379">10.1111/cgf.70379</a>.'
  mla: 'Hinderink, Steffen, and Marcel Campen. “DiskScissors: Cutting Arbitrary‐Topology
    Solids for Bijective Mapping.” <i>Computer Graphics Forum</i>, e70379, Wiley,
    2026, doi:<a href="https://doi.org/10.1111/cgf.70379">10.1111/cgf.70379</a>.'
  short: S. Hinderink, M. Campen, Computer Graphics Forum (2026).
date_created: 2026-05-05T08:15:52Z
date_updated: 2026-05-05T08:17:55Z
department:
- _id: '969'
doi: 10.1111/cgf.70379
language:
- iso: eng
publication: Computer Graphics Forum
publication_identifier:
  issn:
  - 0167-7055
  - 1467-8659
publication_status: published
publisher: Wiley
status: public
title: 'DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping'
type: journal_article
user_id: '117512'
year: '2026'
...