---
_id: '5681'
abstract:
- lang: eng
  text: 'We introduce dynamically warping grids for adaptive liquid simulation. Our
    primary contributions are a strategy for dynamically deforming regular grids over
    the course of a simulation and a method for efficiently utilizing these deforming
    grids for liquid simulation. Prior work has shown that unstructured grids are
    very effective for adaptive fluid simulations. However, unstructured grids often
    lead to complicated implementations and a poor cache hit rate due to inconsistent
    memory access. Regular grids, on the other hand, provide a fast, fixed memory
    access pattern and straightforward implementation. Our method combines the advantages
    of both: we leverage the simplicity of regular grids while still achieving practical
    and controllable spatial adaptivity. We demonstrate that our method enables adaptive
    simulations that are fast, flexible, and robust to null-space issues. At the same
    time, our method is simple to implement and takes advantage of existing highly-tuned
    algorithms.'
acknowledged_ssus:
- _id: ScienComp
acknowledgement: This work was partially supported by JSPS Grant-in-Aid forYoung Scientists
  (Start-up) 16H07410, the ERC StartingGrantsrealFlow(StG-2015-637014) andBigSplash(StG-2014-638176).
  This research was supported by the Scientific Ser-vice Units (SSU) of IST Austria
  through resources providedby Scientific Computing. We would like to express my grati-tude
  to Nobuyuki Umetani and Tomas Skrivan for insight-ful discussion.
article_processing_charge: No
article_type: original
author:
- first_name: Ibayashi
  full_name: Hikaru, Ibayashi
  last_name: Hikaru
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
- first_name: Nils
  full_name: Thuerey, Nils
  last_name: Thuerey
- first_name: Takeo
  full_name: Igarashi, Takeo
  last_name: Igarashi
- first_name: Ryoichi
  full_name: Ando, Ryoichi
  last_name: Ando
citation:
  ama: Hikaru I, Wojtan C, Thuerey N, Igarashi T, Ando R. Simulating liquids on dynamically
    warping grids. <i>IEEE Transactions on Visualization and Computer Graphics</i>.
    2020;26(6):2288-2302. doi:<a href="https://doi.org/10.1109/TVCG.2018.2883628">10.1109/TVCG.2018.2883628</a>
  apa: Hikaru, I., Wojtan, C., Thuerey, N., Igarashi, T., &#38; Ando, R. (2020). Simulating
    liquids on dynamically warping grids. <i>IEEE Transactions on Visualization and
    Computer Graphics</i>. IEEE. <a href="https://doi.org/10.1109/TVCG.2018.2883628">https://doi.org/10.1109/TVCG.2018.2883628</a>
  chicago: Hikaru, Ibayashi, Chris Wojtan, Nils Thuerey, Takeo Igarashi, and Ryoichi
    Ando. “Simulating Liquids on Dynamically Warping Grids.” <i>IEEE Transactions
    on Visualization and Computer Graphics</i>. IEEE, 2020. <a href="https://doi.org/10.1109/TVCG.2018.2883628">https://doi.org/10.1109/TVCG.2018.2883628</a>.
  ieee: I. Hikaru, C. Wojtan, N. Thuerey, T. Igarashi, and R. Ando, “Simulating liquids
    on dynamically warping grids,” <i>IEEE Transactions on Visualization and Computer
    Graphics</i>, vol. 26, no. 6. IEEE, pp. 2288–2302, 2020.
  ista: Hikaru I, Wojtan C, Thuerey N, Igarashi T, Ando R. 2020. Simulating liquids
    on dynamically warping grids. IEEE Transactions on Visualization and Computer
    Graphics. 26(6), 2288–2302.
  mla: Hikaru, Ibayashi, et al. “Simulating Liquids on Dynamically Warping Grids.”
    <i>IEEE Transactions on Visualization and Computer Graphics</i>, vol. 26, no.
    6, IEEE, 2020, pp. 2288–302, doi:<a href="https://doi.org/10.1109/TVCG.2018.2883628">10.1109/TVCG.2018.2883628</a>.
  short: I. Hikaru, C. Wojtan, N. Thuerey, T. Igarashi, R. Ando, IEEE Transactions
    on Visualization and Computer Graphics 26 (2020) 2288–2302.
date_created: 2018-12-16T22:59:21Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2025-07-10T11:52:55Z
day: '01'
ddc:
- '006'
department:
- _id: ChWo
doi: 10.1109/TVCG.2018.2883628
external_id:
  isi:
  - '000532295600014'
  pmid:
  - '30507534'
file:
- access_level: open_access
  checksum: 8d4c55443a0ee335bb5bb652de503042
  content_type: application/pdf
  creator: wojtan
  date_created: 2020-10-08T08:34:53Z
  date_updated: 2020-10-08T08:34:53Z
  file_id: '8626'
  file_name: preprint.pdf
  file_size: 21910098
  relation: main_file
  success: 1
file_date_updated: 2020-10-08T08:34:53Z
has_accepted_license: '1'
intvolume: '        26'
isi: 1
issue: '6'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
page: 2288-2302
pmid: 1
publication: IEEE Transactions on Visualization and Computer Graphics
publication_identifier:
  eissn:
  - 1941-0506
  issn:
  - 1077-2626
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Simulating liquids on dynamically warping grids
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 26
year: '2020'
...
---
_id: '18420'
abstract:
- lang: eng
  text: The experience of motion sickness in a virtual environment may be measured
    through pre and postexperiment self-reported questionnaires such as the simulator
    sickness questionnaire (SSQ). Although research provides converging evidence that
    users of virtual environments can experience motion sickness, there have been
    no controlled studies to determine to what extent the user's subjective response
    is a demand characteristic resulting from pre and posttest measures. In this study,
    subjects were given either SSQ's both pre and postvirtual environment immersion,
    or only postimmersion. This technique tested for contrast effects due to demand
    characteristics in which administration of the questionnaire itself suggested
    to the participant that the virtual environment may produce motion sickness. Results
    indicate that reports of motion sickness after immersion in a virtual environment
    are much greater when both pre and postquestionnaires are given than when only
    a posttest questionnaire is used. The implications for assessments of motion sickness
    in virtual environments are discussed
article_processing_charge: No
author:
- first_name: Alexander
  full_name: Bronstein, Alexander
  id: 58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
  last_name: Bronstein
  orcid: 0000-0001-9699-8730
- first_name: Michael M.
  full_name: Bronstein, Michael M.
  last_name: Bronstein
- first_name: Ron
  full_name: Kimmel, Ron
  last_name: Kimmel
citation:
  ama: Bronstein AM, Bronstein MM, Kimmel R. Calculus of nonrigid surfaces for geometry
    and texture manipulation. <i>IEEE Transactions on Visualization and Computer Graphics</i>.
    2007;13(5):902-913. doi:<a href="https://doi.org/10.1109/tvcg.2007.1041">10.1109/tvcg.2007.1041</a>
  apa: Bronstein, A. M., Bronstein, M. M., &#38; Kimmel, R. (2007). Calculus of nonrigid
    surfaces for geometry and texture manipulation. <i>IEEE Transactions on Visualization
    and Computer Graphics</i>. IEEE. <a href="https://doi.org/10.1109/tvcg.2007.1041">https://doi.org/10.1109/tvcg.2007.1041</a>
  chicago: Bronstein, Alex M., Michael M. Bronstein, and Ron Kimmel. “Calculus of
    Nonrigid Surfaces for Geometry and Texture Manipulation.” <i>IEEE Transactions
    on Visualization and Computer Graphics</i>. IEEE, 2007. <a href="https://doi.org/10.1109/tvcg.2007.1041">https://doi.org/10.1109/tvcg.2007.1041</a>.
  ieee: A. M. Bronstein, M. M. Bronstein, and R. Kimmel, “Calculus of nonrigid surfaces
    for geometry and texture manipulation,” <i>IEEE Transactions on Visualization
    and Computer Graphics</i>, vol. 13, no. 5. IEEE, pp. 902–913, 2007.
  ista: Bronstein AM, Bronstein MM, Kimmel R. 2007. Calculus of nonrigid surfaces
    for geometry and texture manipulation. IEEE Transactions on Visualization and
    Computer Graphics. 13(5), 902–913.
  mla: Bronstein, Alex M., et al. “Calculus of Nonrigid Surfaces for Geometry and
    Texture Manipulation.” <i>IEEE Transactions on Visualization and Computer Graphics</i>,
    vol. 13, no. 5, IEEE, 2007, pp. 902–13, doi:<a href="https://doi.org/10.1109/tvcg.2007.1041">10.1109/tvcg.2007.1041</a>.
  short: A.M. Bronstein, M.M. Bronstein, R. Kimmel, IEEE Transactions on Visualization
    and Computer Graphics 13 (2007) 902–913.
date_created: 2024-10-15T11:20:55Z
date_published: 2007-10-31T00:00:00Z
date_updated: 2024-12-12T12:32:22Z
day: '31'
doi: 10.1109/tvcg.2007.1041
extern: '1'
intvolume: '        13'
issue: '5'
language:
- iso: eng
month: '10'
oa_version: None
page: 902-913
publication: IEEE Transactions on Visualization and Computer Graphics
publication_identifier:
  eissn:
  - 1941-0506
  issn:
  - 1077-2626
publication_status: published
publisher: IEEE
quality_controlled: '1'
scopus_import: '1'
status: public
title: Calculus of nonrigid surfaces for geometry and texture manipulation
type: journal_article
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 13
year: '2007'
...
---
OA_type: free access
_id: '3984'
abstract:
- lang: eng
  text: We combine topological and geometric methods to construct a multiresolution
    representation for a function over a two-dimensional domain. In a preprocessing
    stage, we create the Morse-Smale complex of the function and progressively simplify
    its topology by cancelling pairs of critical points. Based on a simple notion
    of dependency among these cancellations, we construct a hierarchical data structure
    supporting traversal and reconstruction operations similarly to traditional geometry-based
    representations. We use this data structure to extract topologically valid approximations
    that satisfy error bounds provided at runtime.
article_processing_charge: No
article_type: original
author:
- first_name: Peer
  full_name: Bremer, Peer
  last_name: Bremer
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Bernd
  full_name: Hamann, Bernd
  last_name: Hamann
- first_name: Valerio
  full_name: Pascucci, Valerio
  last_name: Pascucci
citation:
  ama: Bremer P, Edelsbrunner H, Hamann B, Pascucci V. A topological hierarchy for
    functions on triangulated surfaces. <i>IEEE Transactions on Visualization and
    Computer Graphics</i>. 2004;10(4):385-396. doi:<a href="https://doi.org/10.1109/TVCG.2004.3">10.1109/TVCG.2004.3</a>
  apa: Bremer, P., Edelsbrunner, H., Hamann, B., &#38; Pascucci, V. (2004). A topological
    hierarchy for functions on triangulated surfaces. <i>IEEE Transactions on Visualization
    and Computer Graphics</i>. IEEE. <a href="https://doi.org/10.1109/TVCG.2004.3">https://doi.org/10.1109/TVCG.2004.3</a>
  chicago: Bremer, Peer, Herbert Edelsbrunner, Bernd Hamann, and Valerio Pascucci.
    “A Topological Hierarchy for Functions on Triangulated Surfaces.” <i>IEEE Transactions
    on Visualization and Computer Graphics</i>. IEEE, 2004. <a href="https://doi.org/10.1109/TVCG.2004.3">https://doi.org/10.1109/TVCG.2004.3</a>.
  ieee: P. Bremer, H. Edelsbrunner, B. Hamann, and V. Pascucci, “A topological hierarchy
    for functions on triangulated surfaces,” <i>IEEE Transactions on Visualization
    and Computer Graphics</i>, vol. 10, no. 4. IEEE, pp. 385–396, 2004.
  ista: Bremer P, Edelsbrunner H, Hamann B, Pascucci V. 2004. A topological hierarchy
    for functions on triangulated surfaces. IEEE Transactions on Visualization and
    Computer Graphics. 10(4), 385–396.
  mla: Bremer, Peer, et al. “A Topological Hierarchy for Functions on Triangulated
    Surfaces.” <i>IEEE Transactions on Visualization and Computer Graphics</i>, vol.
    10, no. 4, IEEE, 2004, pp. 385–96, doi:<a href="https://doi.org/10.1109/TVCG.2004.3">10.1109/TVCG.2004.3</a>.
  short: P. Bremer, H. Edelsbrunner, B. Hamann, V. Pascucci, IEEE Transactions on
    Visualization and Computer Graphics 10 (2004) 385–396.
das_tickbox: '1'
date_created: 2018-12-11T12:06:16Z
date_published: 2004-07-01T00:00:00Z
date_updated: 2026-07-01T11:01:44Z
day: '01'
doi: 10.1109/TVCG.2004.3
extern: '1'
external_id:
  pmid:
  - '18579967'
intvolume: '        10'
issue: '4'
language:
- iso: eng
month: '07'
oa_version: None
page: 385 - 396
pmid: 1
publication: IEEE Transactions on Visualization and Computer Graphics
publication_identifier:
  eissn:
  - 1941-0506
  issn:
  - 1077-2626
publication_status: published
publisher: IEEE
publist_id: '2139'
status: public
title: A topological hierarchy for functions on triangulated surfaces
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 10
year: '2004'
...