---
_id: '12358'
abstract:
- lang: eng
  text: "The complex yarn structure of knitted and woven fabrics gives rise to both
    a mechanical and\r\nvisual complexity. The small-scale interactions of yarns colliding
    with and pulling on each\r\nother result in drastically different large-scale
    stretching and bending behavior, introducing\r\nanisotropy, curling, and more.
    While simulating cloth as individual yarns can reproduce this\r\ncomplexity and
    match the quality of real fabric, it may be too computationally expensive for\r\nlarge
    fabrics. On the other hand, continuum-based approaches do not need to discretize
    the\r\ncloth at a stitch-level, but it is non-trivial to find a material model
    that would replicate the\r\nlarge-scale behavior of yarn fabrics, and they discard
    the intricate visual detail. In this thesis,\r\nwe discuss three methods to try
    and bridge the gap between small-scale and large-scale yarn\r\nmechanics using
    numerical homogenization: fitting a continuum model to periodic yarn simulations,
    adding mechanics-aware yarn detail onto thin-shell simulations, and quantitatively\r\nfitting
    yarn parameters to physical measurements of real fabric.\r\nTo start, we present
    a method for animating yarn-level cloth effects using a thin-shell solver.\r\nWe
    first use a large number of periodic yarn-level simulations to build a model of
    the potential\r\nenergy density of the cloth, and then use it to compute forces
    in a thin-shell simulator. The\r\nresulting simulations faithfully reproduce expected
    effects like the stiffening of woven fabrics\r\nand the highly deformable nature
    and anisotropy of knitted fabrics at a fraction of the cost of\r\nfull yarn-level
    simulation.\r\nWhile our thin-shell simulations are able to capture large-scale
    yarn mechanics, they lack\r\nthe rich visual detail of yarn-level simulations.
    Therefore, we propose a method to animate\r\nyarn-level cloth geometry on top
    of an underlying deforming mesh in a mechanics-aware\r\nfashion in real time.
    Using triangle strains to interpolate precomputed yarn geometry, we are\r\nable
    to reproduce effects such as knit loops tightening under stretching at negligible
    cost.\r\nFinally, we introduce a methodology for inverse-modeling of yarn-level
    mechanics of cloth,\r\nbased on the mechanical response of fabrics in the real
    world. We compile a database from\r\nphysical tests of several knitted fabrics
    used in the textile industry spanning diverse physical\r\nproperties like stiffness,
    nonlinearity, and anisotropy. We then develop a system for approximating these
    mechanical responses with yarn-level cloth simulation, using homogenized\r\nshell
    models to speed up computation and adding some small-but-necessary extensions
    to\r\nyarn-level models used in computer graphics.\r\n"
acknowledged_ssus:
- _id: SSU
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Georg
  full_name: Sperl, Georg
  id: 4DD40360-F248-11E8-B48F-1D18A9856A87
  last_name: Sperl
citation:
  ama: 'Sperl G. Homogenizing yarn simulations: Large-scale mechanics, small-scale
    detail, and quantitative fitting. 2022. doi:<a href="https://doi.org/10.15479/at:ista:12103">10.15479/at:ista:12103</a>'
  apa: 'Sperl, G. (2022). <i>Homogenizing yarn simulations: Large-scale mechanics,
    small-scale detail, and quantitative fitting</i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/at:ista:12103">https://doi.org/10.15479/at:ista:12103</a>'
  chicago: 'Sperl, Georg. “Homogenizing Yarn Simulations: Large-Scale Mechanics, Small-Scale
    Detail, and Quantitative Fitting.” Institute of Science and Technology Austria,
    2022. <a href="https://doi.org/10.15479/at:ista:12103">https://doi.org/10.15479/at:ista:12103</a>.'
  ieee: 'G. Sperl, “Homogenizing yarn simulations: Large-scale mechanics, small-scale
    detail, and quantitative fitting,” Institute of Science and Technology Austria,
    2022.'
  ista: 'Sperl G. 2022. Homogenizing yarn simulations: Large-scale mechanics, small-scale
    detail, and quantitative fitting. Institute of Science and Technology Austria.'
  mla: 'Sperl, Georg. <i>Homogenizing Yarn Simulations: Large-Scale Mechanics, Small-Scale
    Detail, and Quantitative Fitting</i>. Institute of Science and Technology Austria,
    2022, doi:<a href="https://doi.org/10.15479/at:ista:12103">10.15479/at:ista:12103</a>.'
  short: 'G. Sperl, Homogenizing Yarn Simulations: Large-Scale Mechanics, Small-Scale
    Detail, and Quantitative Fitting, Institute of Science and Technology Austria,
    2022.'
date_created: 2023-01-24T10:49:46Z
date_published: 2022-09-22T00:00:00Z
date_updated: 2024-02-28T12:57:46Z
day: '22'
ddc:
- '000'
- '620'
degree_awarded: PhD
department:
- _id: GradSch
- _id: ChWo
doi: 10.15479/at:ista:12103
ec_funded: 1
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project:
- _id: 2533E772-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '638176'
  name: Efficient Simulation of Natural Phenomena at Extremely Large Scales
publication_identifier:
  isbn:
  - 978-3-99078-020-6
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
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    relation: part_of_dissertation
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  - id: '8385'
    relation: part_of_dissertation
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supervisor:
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
title: 'Homogenizing yarn simulations: Large-scale mechanics, small-scale detail,
  and quantitative fitting'
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...
---
_id: '839'
abstract:
- lang: eng
  text: 'This thesis describes a brittle fracture simulation method for visual effects
    applications. Building upon a symmetric Galerkin boundary element method, we first
    compute stress intensity factors following the theory of linear elastic fracture
    mechanics. We then use these stress intensities to simulate the motion of a propagating
    crack front at a significantly higher resolution than the overall deformation
    of the breaking object. Allowing for spatial variations of the material''s toughness
    during crack propagation produces visually realistic, highly-detailed fracture
    surfaces. Furthermore, we introduce approximations for stress intensities and
    crack opening displacements, resulting in both practical speed-up and theoretically
    superior runtime complexity compared to previous methods. While we choose a quasi-static
    approach to fracture mechanics, ignoring dynamic deformations, we also couple
    our fracture simulation framework to a standard rigid-body dynamics solver, enabling
    visual effects artists to simulate both large scale motion, as well as fracturing
    due to collision forces in a combined system. As fractures inside of an object
    grow, their geometry must be represented both in the coarse boundary element mesh,
    as well as at the desired fine output resolution. Using a boundary element method,
    we avoid complicated volumetric meshing operations. Instead we describe a simple
    set of surface meshing operations that allow us to progressively add cracks to
    the mesh of an object and still re-use all previously computed entries of the
    linear boundary element system matrix. On the high resolution level, we opt for
    an implicit surface representation. We then describe how to capture fracture surfaces
    during crack propagation, as well as separate the individual fragments resulting
    from the fracture process, based on this implicit representation. We show results
    obtained with our method, either solving the full boundary element system in every
    time step, or alternatively using our fast approximations. These results demonstrate
    that both of these methods perform well in basic test cases and produce realistic
    fracture surfaces. Furthermore we show that our fast approximations substantially
    out-perform the standard approach in more demanding scenarios. Finally, these
    two methods naturally combine, using the full solution while the problem size
    is manageably small and switching to the fast approximations later on. The resulting
    hybrid method gives the user a direct way to choose between speed and accuracy
    of the simulation. '
acknowledgement: "ERC H2020 programme (grant agreement no. 638176)\r\nFirst of all,
  let me thank my committee members, especially my supervisor, Chris\r\nWojtan, for
  supporting me throughout my PhD. Obviously, none of this work would\r\nhave been
  possible without you.\r\nFurthermore, Thank You to all the people who have contributed
  to this work in various\r\nways, in particular Martin Schanz and his group for providing
  and supporting the\r\nHyENA boundary element library, as well as Eder Miguel and
  Morten Bojsen-Hansen\r\nfor (repeatedly) proof reading and providing valuable suggestions
  during the writing\r\nof this thesis.\r\nI would also like to thank Bernd Bickel,
  and all the members – past and present – of his\r\nand Chris’ research groups at
  IST Austria for always providing honest and insightful\r\nfeedback throughout many
  joint group meetings, as well as Christopher Batty, Eitan\r\nGrinspun, and Fang
  Da for many insights into boundary element methods during our\r\ncollaboration.\r\nAs
  only virtual objects have been harmed in the process of creating this work, I would\r\nlike
  to acknowledge the Stanford scanning repository for providing the “Bunny” and\r\n“Armadillo”
  models, the AIM@SHAPE repository for “Pierre’s hand, watertight”, and\r\nS. Gainsbourg
  for the “Column” via Archive3D.net. Sorry for breaking these models\r\nin many different
  ways.\r\n"
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: David
  full_name: Hahn, David
  id: 357A6A66-F248-11E8-B48F-1D18A9856A87
  last_name: Hahn
citation:
  ama: Hahn D. Brittle fracture simulation with boundary elements for computer graphics.
    2017. doi:<a href="https://doi.org/10.15479/AT:ISTA:th_855">10.15479/AT:ISTA:th_855</a>
  apa: Hahn, D. (2017). <i>Brittle fracture simulation with boundary elements for
    computer graphics</i>. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:th_855">https://doi.org/10.15479/AT:ISTA:th_855</a>
  chicago: Hahn, David. “Brittle Fracture Simulation with Boundary Elements for Computer
    Graphics.” Institute of Science and Technology Austria, 2017. <a href="https://doi.org/10.15479/AT:ISTA:th_855">https://doi.org/10.15479/AT:ISTA:th_855</a>.
  ieee: D. Hahn, “Brittle fracture simulation with boundary elements for computer
    graphics,” Institute of Science and Technology Austria, 2017.
  ista: Hahn D. 2017. Brittle fracture simulation with boundary elements for computer
    graphics. Institute of Science and Technology Austria.
  mla: Hahn, David. <i>Brittle Fracture Simulation with Boundary Elements for Computer
    Graphics</i>. Institute of Science and Technology Austria, 2017, doi:<a href="https://doi.org/10.15479/AT:ISTA:th_855">10.15479/AT:ISTA:th_855</a>.
  short: D. Hahn, Brittle Fracture Simulation with Boundary Elements for Computer
    Graphics, Institute of Science and Technology Austria, 2017.
date_created: 2018-12-11T11:48:47Z
date_published: 2017-08-14T00:00:00Z
date_updated: 2024-02-21T13:48:02Z
day: '14'
ddc:
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- '005'
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degree_awarded: PhD
department:
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doi: 10.15479/AT:ISTA:th_855
ec_funded: 1
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language:
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license: https://creativecommons.org/licenses/by-sa/4.0/
month: '08'
oa: 1
oa_version: Published Version
page: '124'
project:
- _id: 2533E772-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '638176'
  name: Efficient Simulation of Natural Phenomena at Extremely Large Scales
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
publist_id: '6809'
pubrep_id: '855'
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    status: public
status: public
supervisor:
- first_name: Christopher J
  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
title: Brittle fracture simulation with boundary elements for computer graphics
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type: dissertation
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...
---
_id: '1122'
abstract:
- lang: eng
  text: "Computer graphics is an extremely exciting field for two reasons. On the
    one hand,\r\nthere is a healthy injection of pragmatism coming from the visual
    effects industry\r\nthat want robust algorithms that work so they can produce
    results at an increasingly\r\nfrantic pace. On the other hand, they must always
    try to push the envelope and\r\nachieve the impossible to wow their audiences
    in the next blockbuster, which means\r\nthat the industry has not succumb to conservatism,
    and there is plenty of room to\r\ntry out new and crazy ideas if there is a chance
    that it will pan into something\r\nuseful.\r\nWater simulation has been in visual
    effects for decades, however it still remains\r\nextremely challenging because
    of its high computational cost and difficult artdirectability.\r\nThe work in
    this thesis tries to address some of these difficulties.\r\nSpecifically, we make
    the following three novel contributions to the state-of-the-art\r\nin water simulation
    for visual effects.\r\nFirst, we develop the first algorithm that can convert
    any sequence of closed\r\nsurfaces in time into a moving triangle mesh. State-of-the-art
    methods at the time\r\ncould only handle surfaces with fixed connectivity, but
    we are the first to be able to\r\nhandle surfaces that merge and split apart.
    This is important for water simulation\r\npractitioners, because it allows them
    to convert splashy water surfaces extracted\r\nfrom particles or simulated using
    grid-based level sets into triangle meshes that can\r\nbe either textured and
    enhanced with extra surface dynamics as a post-process.\r\nWe also apply our algorithm
    to other phenomena that merge and split apart, such\r\nas morphs and noisy reconstructions
    of human performances.\r\nSecond, we formulate a surface-based energy that measures
    the deviation of a\r\nwater surface froma physically valid state. Such discrepancies
    arise when there is a\r\nmismatch in the degrees of freedom between the water
    surface and the underlying\r\nphysics solver. This commonly happens when practitioners
    use a moving triangle\r\nmesh with a grid-based physics solver, or when high-resolution
    grid-based surfaces\r\nare combined with low-resolution physics. Following the
    direction of steepest\r\ndescent on our surface-based energy, we can either smooth
    these artifacts or turn\r\nthem into high-resolution waves by interpreting the
    energy as a physical potential.\r\nThird, we extend state-of-the-art techniques
    in non-reflecting boundaries to handle spatially and time-varying background flows.
    This allows a novel new\r\nworkflow where practitioners can re-simulate part of
    an existing simulation, such\r\nas removing a solid obstacle, adding a new splash
    or locally changing the resolution.\r\nSuch changes can easily lead to new waves
    in the re-simulated region that would\r\nreflect off of the new simulation boundary,
    effectively ruining the illusion of a\r\nseamless simulation boundary between
    the existing and new simulations. Our\r\nnon-reflecting boundaries makes sure
    that such waves are absorbed."
acknowledgement: "First and foremost I would like to thank Chris. I have been incredibly
  lucky to have\r\nyou as my advisor. Your integrity and aspiration to do the right
  thing in all walks of\r\nlife is something I admire and aspire to. I also really
  appreciate the fact that when\r\nworking with you it felt like we were equals. I
  think we had a very synergetic work\r\nrelationship: I learned immensely from you,
  but I dare say that you learned a few\r\nthings from me as well. ;)\r\nNext, I would
  like to thank my amazing committee. Hao, it was a fantastic\r\nexperience working
  with you. You showed me how to persevere and keep morale\r\nhigh when things were
  looking the most bleak before the deadline. You are an\r\nincredible motivator and
  super fun to be around! Vladimir, thanks for the shared\r\nlunches and the poker
  games. Sorry for not bringing them back when I got busy.\r\nAlso, sorry for embarrassing
  you by asking about your guitar playing that one\r\ntime. You really are quite awesome!
  Nils, one of the friendliest and most humble\r\npeople you will meet and a top notch
  researcher to boot! Thank you for joining\r\nmy committee late!\r\nI would also
  like to acknowledge the Visual Computing group at IST Austria\r\nfrom whom I have
  learned so much. The excellent discussions we had in reading\r\ngroups and research
  meetings really helped me become a better researcher!\r\nNext, I would like to thank
  all the amazing people that I met during my PhD\r\nstudies, both at IST Austria,
  in Vienna and elsewhere. "
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Morten
  full_name: Bojsen-Hansen, Morten
  id: 439F0C8C-F248-11E8-B48F-1D18A9856A87
  last_name: Bojsen-Hansen
  orcid: 0000-0002-4417-3224
citation:
  ama: Bojsen-Hansen M. Tracking, correcting and absorbing water surface waves. 2016.
    doi:<a href="https://doi.org/10.15479/AT:ISTA:th_640">10.15479/AT:ISTA:th_640</a>
  apa: Bojsen-Hansen, M. (2016). <i>Tracking, correcting and absorbing water surface
    waves</i>. Institute of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:th_640">https://doi.org/10.15479/AT:ISTA:th_640</a>
  chicago: Bojsen-Hansen, Morten. “Tracking, Correcting and Absorbing Water Surface
    Waves.” Institute of Science and Technology Austria, 2016. <a href="https://doi.org/10.15479/AT:ISTA:th_640">https://doi.org/10.15479/AT:ISTA:th_640</a>.
  ieee: M. Bojsen-Hansen, “Tracking, correcting and absorbing water surface waves,”
    Institute of Science and Technology Austria, 2016.
  ista: Bojsen-Hansen M. 2016. Tracking, correcting and absorbing water surface waves.
    Institute of Science and Technology Austria.
  mla: Bojsen-Hansen, Morten. <i>Tracking, Correcting and Absorbing Water Surface
    Waves</i>. Institute of Science and Technology Austria, 2016, doi:<a href="https://doi.org/10.15479/AT:ISTA:th_640">10.15479/AT:ISTA:th_640</a>.
  short: M. Bojsen-Hansen, Tracking, Correcting and Absorbing Water Surface Waves,
    Institute of Science and Technology Austria, 2016.
date_created: 2018-12-11T11:50:16Z
date_published: 2016-07-15T00:00:00Z
date_updated: 2024-02-21T13:50:48Z
day: '15'
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degree_awarded: PhD
department:
- _id: ChWo
doi: 10.15479/AT:ISTA:th_640
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  full_name: Wojtan, Christopher J
  id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
  last_name: Wojtan
  orcid: 0000-0001-6646-5546
title: Tracking, correcting and absorbing water surface waves
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