---
_id: '12846'
abstract:
- lang: eng
text: We present a formula for the signed area of a spherical polygon via prequantization.
In contrast to the traditional formula based on the Gauss-Bonnet theorem that
requires measuring angles, the new formula mimics Green's theorem and is applicable
to a wider range of degenerate spherical curves and polygons.
acknowledgement: The authors acknowledge Chris Wojtan for his continuous support to
the present work through discussions and advice. The second author thanks Anna Sisak
for a fruitful discussion on prequantum bundles. This project was funded in part
by the European Research Council (ERC Consolidator Grant 101045083 CoDiNA).
article_number: '2303.14555'
article_processing_charge: No
author:
- first_name: Albert
full_name: Chern, Albert
last_name: Chern
- first_name: Sadashige
full_name: Ishida, Sadashige
id: 6F7C4B96-A8E9-11E9-A7CA-09ECE5697425
last_name: Ishida
citation:
ama: Chern A, Ishida S. Area formula for spherical polygons via prequantization.
arXiv. doi:10.48550/arXiv.2303.14555
apa: Chern, A., & Ishida, S. (n.d.). Area formula for spherical polygons via
prequantization. arXiv. https://doi.org/10.48550/arXiv.2303.14555
chicago: Chern, Albert, and Sadashige Ishida. “Area Formula for Spherical Polygons
via Prequantization.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2303.14555.
ieee: A. Chern and S. Ishida, “Area formula for spherical polygons via prequantization,”
arXiv. .
ista: Chern A, Ishida S. Area formula for spherical polygons via prequantization.
arXiv, 2303.14555.
mla: Chern, Albert, and Sadashige Ishida. “Area Formula for Spherical Polygons via
Prequantization.” ArXiv, 2303.14555, doi:10.48550/arXiv.2303.14555.
short: A. Chern, S. Ishida, ArXiv (n.d.).
date_created: 2023-04-18T19:16:06Z
date_published: 2023-03-25T00:00:00Z
date_updated: 2023-04-25T06:51:21Z
day: '25'
department:
- _id: GradSch
- _id: ChWo
doi: 10.48550/arXiv.2303.14555
external_id:
arxiv:
- '2303.14555'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2303.14555
month: '03'
oa: 1
oa_version: Preprint
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: arXiv
publication_status: submitted
status: public
title: Area formula for spherical polygons via prequantization
type: preprint
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14628'
abstract:
- lang: eng
text: We introduce a compact, intuitive procedural graph representation for cellular
metamaterials, which are small-scale, tileable structures that can be architected
to exhibit many useful material properties. Because the structures’ “architectures”
vary widely—with elements such as beams, thin shells, and solid bulks—it is difficult
to explore them using existing representations. Generic approaches like voxel
grids are versatile, but it is cumbersome to represent and edit individual structures;
architecture-specific approaches address these issues, but are incompatible with
one another. By contrast, our procedural graph succinctly represents the construction
process for any structure using a simple skeleton annotated with spatially varying
thickness. To express the highly constrained triply periodic minimal surfaces
(TPMS) in this manner, we present the first fully automated version of the conjugate
surface construction method, which allows novices to create complex TPMS from
intuitive input. We demonstrate our representation’s expressiveness, accuracy,
and compactness by constructing a wide range of established structures and hundreds
of novel structures with diverse architectures and material properties. We also
conduct a user study to verify our representation’s ease-of-use and ability to
expand engineers’ capacity for exploration.
acknowledgement: "The authors thank Mina Konaković Luković and Michael Foshey for
their early contributions to this project, David Palmer and Paul Zhang for their
insightful discussions about minimal surfaces and the CSCM, Julian Panetta for providing
the Elastic Textures code, and Hannes Hergeth for his feedback and support. We also
thank our user study participants and anonymous reviewers.\r\nThis material is based
upon work supported by the National Science Foundation\r\n(NSF) Graduate Research
Fellowship under Grant No. 2141064; the MIT Morningside\r\nAcademy for Design Fellowship;
the Defense Advanced Research Projects Agency\r\n(DARPA) Grant No. FA8750-20-C-0075;
the ERC Consolidator Grant No. 101045083,\r\n“CoDiNA: Computational Discovery of
Numerical Algorithms for Animation and Simulation of Natural Phenomena”; and the
NewSat project, which is co-funded by the Operational Program for Competitiveness
and Internationalisation (COMPETE2020), Portugal 2020, the European Regional Development
Fund (ERDF), and the Portuguese Foundation for Science and Technology (FTC) under
the MIT Portugal program."
article_number: '168'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Liane
full_name: Makatura, Liane
last_name: Makatura
- first_name: Bohan
full_name: Wang, Bohan
last_name: Wang
- first_name: Yi-Lu
full_name: Chen, Yi-Lu
id: 0b467602-dbcd-11ea-9d1d-ed480aa46b70
last_name: Chen
- first_name: Bolei
full_name: Deng, Bolei
last_name: Deng
- 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: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Wojciech
full_name: Matusik, Wojciech
last_name: Matusik
citation:
ama: 'Makatura L, Wang B, Chen Y-L, et al. Procedural metamaterials: A unified procedural
graph for metamaterial design. ACM Transactions on Graphics. 2023;42(5).
doi:10.1145/3605389'
apa: 'Makatura, L., Wang, B., Chen, Y.-L., Deng, B., Wojtan, C., Bickel, B., &
Matusik, W. (2023). Procedural metamaterials: A unified procedural graph for metamaterial
design. ACM Transactions on Graphics. Association for Computing Machinery.
https://doi.org/10.1145/3605389'
chicago: 'Makatura, Liane, Bohan Wang, Yi-Lu Chen, Bolei Deng, Chris Wojtan, Bernd
Bickel, and Wojciech Matusik. “Procedural Metamaterials: A Unified Procedural
Graph for Metamaterial Design.” ACM Transactions on Graphics. Association
for Computing Machinery, 2023. https://doi.org/10.1145/3605389.'
ieee: 'L. Makatura et al., “Procedural metamaterials: A unified procedural
graph for metamaterial design,” ACM Transactions on Graphics, vol. 42,
no. 5. Association for Computing Machinery, 2023.'
ista: 'Makatura L, Wang B, Chen Y-L, Deng B, Wojtan C, Bickel B, Matusik W. 2023.
Procedural metamaterials: A unified procedural graph for metamaterial design.
ACM Transactions on Graphics. 42(5), 168.'
mla: 'Makatura, Liane, et al. “Procedural Metamaterials: A Unified Procedural Graph
for Metamaterial Design.” ACM Transactions on Graphics, vol. 42, no. 5,
168, Association for Computing Machinery, 2023, doi:10.1145/3605389.'
short: L. Makatura, B. Wang, Y.-L. Chen, B. Deng, C. Wojtan, B. Bickel, W. Matusik,
ACM Transactions on Graphics 42 (2023).
date_created: 2023-11-29T15:02:03Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2023-12-04T08:09:05Z
day: '01'
ddc:
- '531'
- '006'
department:
- _id: GradSch
- _id: ChWo
- _id: BeBi
doi: 10.1145/3605389
file:
- access_level: open_access
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content_type: application/zip
creator: yichen
date_created: 2023-11-29T15:16:01Z
date_updated: 2023-11-29T15:16:01Z
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file_size: 95467870
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content_type: application/zip
creator: yichen
date_created: 2023-11-29T15:16:01Z
date_updated: 2023-11-29T15:16:01Z
file_id: '14631'
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content_type: application/pdf
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date_created: 2023-12-04T08:04:14Z
date_updated: 2023-12-04T08:04:14Z
file_id: '14638'
file_name: 2023_ACMToG_Makatura.pdf
file_size: 57067476
relation: main_file
success: 1
file_date_updated: 2023-12-04T08:04:14Z
has_accepted_license: '1'
intvolume: ' 42'
issue: '5'
keyword:
- Computer Graphics and Computer-Aided Design
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: ACM Transactions on Graphics
publication_identifier:
issn:
- 0730-0301
- 1557-7368
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
status: public
title: 'Procedural metamaterials: A unified procedural graph for metamaterial design'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
year: '2023'
...
---
_id: '14703'
abstract:
- lang: eng
text: We present a discretization of the dynamic optimal transport problem for which
we can obtain the convergence rate for the value of the transport cost to its
continuous value when the temporal and spatial stepsize vanish. This convergence
result does not require any regularity assumption on the measures, though experiments
suggest that the rate is not sharp. Via an analysis of the duality gap we also
obtain the convergence rates for the gradient of the optimal potentials and the
velocity field under mild regularity assumptions. To obtain such rates we discretize
the dual formulation of the dynamic optimal transport problem and use the mature
literature related to the error due to discretizing the Hamilton-Jacobi equation.
acknowledgement: "The authors would like to thank Chris Wojtan for his continuous
support and several interesting discussions. Part of this research was performed
during two visits: one of SI to the BIDSA research center at Bocconi University,
and one of HL to the Institute of Science and Technology Austria. Both host institutions
are warmly acknowledged for the hospital-\r\nity. HL is partially supported by the
MUR-Prin 2022-202244A7YL “Gradient Flows and Non-Smooth Geometric Structures with
Applications to Optimization and Machine Learning”, funded by the European Union
- Next Generation EU. SI is supported in part by ERC Consolidator Grant 101045083
“CoDiNA” funded by the European Research Council."
article_number: '2312.12213'
article_processing_charge: No
author:
- first_name: Sadashige
full_name: Ishida, Sadashige
id: 6F7C4B96-A8E9-11E9-A7CA-09ECE5697425
last_name: Ishida
- first_name: Hugo
full_name: Lavenant, Hugo
last_name: Lavenant
citation:
ama: Ishida S, Lavenant H. Quantitative convergence of a discretization of dynamic
optimal transport using the dual formulation. arXiv. doi:10.48550/arXiv.2312.12213
apa: Ishida, S., & Lavenant, H. (n.d.). Quantitative convergence of a discretization
of dynamic optimal transport using the dual formulation. arXiv. https://doi.org/10.48550/arXiv.2312.12213
chicago: Ishida, Sadashige, and Hugo Lavenant. “Quantitative Convergence of a Discretization
of Dynamic Optimal Transport Using the Dual Formulation.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2312.12213.
ieee: S. Ishida and H. Lavenant, “Quantitative convergence of a discretization of
dynamic optimal transport using the dual formulation,” arXiv. .
ista: Ishida S, Lavenant H. Quantitative convergence of a discretization of dynamic
optimal transport using the dual formulation. arXiv, 2312.12213.
mla: Ishida, Sadashige, and Hugo Lavenant. “Quantitative Convergence of a Discretization
of Dynamic Optimal Transport Using the Dual Formulation.” ArXiv, 2312.12213,
doi:10.48550/arXiv.2312.12213.
short: S. Ishida, H. Lavenant, ArXiv (n.d.).
date_created: 2023-12-21T10:14:37Z
date_published: 2023-12-19T00:00:00Z
date_updated: 2023-12-27T13:44:33Z
day: '19'
department:
- _id: GradSch
- _id: ChWo
doi: 10.48550/arXiv.2312.12213
external_id:
arxiv:
- '2312.12213'
keyword:
- Optimal transport
- Hamilton-Jacobi equation
- convex optimization
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2312.12213
month: '12'
oa: 1
oa_version: Preprint
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: arXiv
publication_status: submitted
status: public
title: Quantitative convergence of a discretization of dynamic optimal transport using
the dual formulation
type: preprint
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '14240'
abstract:
- lang: eng
text: This paper introduces a novel method for simulating large bodies of water
as a height field. At the start of each time step, we partition the waves into
a bulk flow (which approximately satisfies the assumptions of the shallow water
equations) and surface waves (which approximately satisfy the assumptions of Airy
wave theory). We then solve the two wave regimes separately using appropriate
state-of-the-art techniques, and re-combine the resulting wave velocities at the
end of each step. This strategy leads to the first heightfield wave model capable
of simulating complex interactions between both deep and shallow water effects,
like the waves from a boat wake sloshing up onto a beach, or a dam break producing
wave interference patterns and eddies. We also analyze the numerical dispersion
created by our method and derive an exact correction factor for waves at a constant
water depth, giving us a numerically perfect re-creation of theoretical water
wave dispersion patterns.
acknowledged_ssus:
- _id: ScienComp
acknowledgement: "We thank Georg Sperl for helping with early research for this paper,
Mickael Ly and Yi-Lu Chen for proofreading, and members of the ISTA Visual Computing
Group for general feedback. This project was funded in part by the European Research
Council (ERC Consolidator Grant 101045083 CoDiNA).\r\nThe motorboat and sailboat
were modeled by Sergei and the palmtrees by YadroGames. The environment map was
created by Emil Persson."
article_number: '83'
article_processing_charge: Yes (in subscription journal)
article_type: original
author:
- first_name: Stefan
full_name: Jeschke, Stefan
id: 44D6411A-F248-11E8-B48F-1D18A9856A87
last_name: Jeschke
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
citation:
ama: Jeschke S, Wojtan C. Generalizing shallow water simulations with dispersive
surface waves. ACM Transactions on Graphics. 2023;42(4). doi:10.1145/3592098
apa: Jeschke, S., & Wojtan, C. (2023). Generalizing shallow water simulations
with dispersive surface waves. ACM Transactions on Graphics. Association
for Computing Machinery. https://doi.org/10.1145/3592098
chicago: Jeschke, Stefan, and Chris Wojtan. “Generalizing Shallow Water Simulations
with Dispersive Surface Waves.” ACM Transactions on Graphics. Association
for Computing Machinery, 2023. https://doi.org/10.1145/3592098.
ieee: S. Jeschke and C. Wojtan, “Generalizing shallow water simulations with dispersive
surface waves,” ACM Transactions on Graphics, vol. 42, no. 4. Association
for Computing Machinery, 2023.
ista: Jeschke S, Wojtan C. 2023. Generalizing shallow water simulations with dispersive
surface waves. ACM Transactions on Graphics. 42(4), 83.
mla: Jeschke, Stefan, and Chris Wojtan. “Generalizing Shallow Water Simulations
with Dispersive Surface Waves.” ACM Transactions on Graphics, vol. 42,
no. 4, 83, Association for Computing Machinery, 2023, doi:10.1145/3592098.
short: S. Jeschke, C. Wojtan, ACM Transactions on Graphics 42 (2023).
date_created: 2023-08-27T22:01:17Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2024-01-02T09:35:55Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/3592098
external_id:
isi:
- '001044671300049'
file:
- access_level: open_access
checksum: 1d178bb2f8011d9f5aedda6427e18c7a
content_type: video/mp4
creator: sjeschke
date_created: 2023-12-21T12:26:40Z
date_updated: 2023-12-21T12:26:40Z
file_id: '14704'
file_name: PaperVideo_final.mp4
file_size: 511572575
relation: main_file
success: 1
- access_level: open_access
checksum: a49b2e744d5cd1276bb8b2e0ce6dc638
content_type: application/pdf
creator: dernst
date_created: 2024-01-02T09:34:27Z
date_updated: 2024-01-02T09:34:27Z
file_id: '14725'
file_name: 2023_ACMToG_Jeschke.pdf
file_size: 7469177
relation: main_file
success: 1
file_date_updated: 2024-01-02T09:34:27Z
has_accepted_license: '1'
intvolume: ' 42'
isi: 1
issue: '4'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Generalizing shallow water simulations with dispersive surface waves
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
year: '2023'
...
---
_id: '14748'
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We thank the anonymous reviewers and the members of the Visual Computing
Group at ISTA for their helpful comments. This research was supported by the Scientific
Service Units (SSU) of ISTA through resources provided by Scientific Computing,
and was funded in part by the European Union (ERC-2021-COG 101045083 CoDiNA).
article_number: '5'
article_processing_charge: No
author:
- first_name: Yi-Lu
full_name: Chen, Yi-Lu
id: 0b467602-dbcd-11ea-9d1d-ed480aa46b70
last_name: Chen
- first_name: Mickaël
full_name: Ly, Mickaël
id: 6340d7f0-b48d-11eb-b10d-b7487e71d9f1
last_name: Ly
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
citation:
ama: 'Chen Y-L, Ly M, Wojtan C. Unified treatment of contact, friction and shock-propagation
in rigid body animation. In: Proceedings of the ACM SIGGRAPH/Eurographics Symposium
on Computer Animation. Association for Computing Machinery; 2023. doi:10.1145/3606037.3606836'
apa: 'Chen, Y.-L., Ly, M., & Wojtan, C. (2023). Unified treatment of contact,
friction and shock-propagation in rigid body animation. In Proceedings of the
ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Los Angeles, CA,
United States: Association for Computing Machinery. https://doi.org/10.1145/3606037.3606836'
chicago: Chen, Yi-Lu, Mickaël Ly, and Chris Wojtan. “Unified Treatment of Contact,
Friction and Shock-Propagation in Rigid Body Animation.” In Proceedings of
the ACM SIGGRAPH/Eurographics Symposium on Computer Animation. Association
for Computing Machinery, 2023. https://doi.org/10.1145/3606037.3606836.
ieee: Y.-L. Chen, M. Ly, and C. Wojtan, “Unified treatment of contact, friction
and shock-propagation in rigid body animation,” in Proceedings of the ACM SIGGRAPH/Eurographics
Symposium on Computer Animation, Los Angeles, CA, United States, 2023.
ista: 'Chen Y-L, Ly M, Wojtan C. 2023. Unified treatment of contact, friction and
shock-propagation in rigid body animation. Proceedings of the ACM SIGGRAPH/Eurographics
Symposium on Computer Animation. SCA: Symposium on Computer Animation, 5.'
mla: Chen, Yi-Lu, et al. “Unified Treatment of Contact, Friction and Shock-Propagation
in Rigid Body Animation.” Proceedings of the ACM SIGGRAPH/Eurographics Symposium
on Computer Animation, 5, Association for Computing Machinery, 2023, doi:10.1145/3606037.3606836.
short: Y.-L. Chen, M. Ly, C. Wojtan, in:, Proceedings of the ACM SIGGRAPH/Eurographics
Symposium on Computer Animation, Association for Computing Machinery, 2023.
conference:
end_date: 2023-08-06
location: Los Angeles, CA, United States
name: 'SCA: Symposium on Computer Animation'
start_date: 2023-08-04
date_created: 2024-01-08T13:00:24Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2024-02-28T12:51:40Z
day: '01'
department:
- _id: ChWo
doi: 10.1145/3606037.3606836
language:
- iso: eng
month: '08'
oa_version: None
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: Proceedings of the ACM SIGGRAPH/Eurographics Symposium on Computer Animation
publication_identifier:
isbn:
- '9798400702686'
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
status: public
title: Unified treatment of contact, friction and shock-propagation in rigid body
animation
type: conference_abstract
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '11432'
abstract:
- lang: eng
text: "This paper proposes a method for simulating liquids in large bodies of water
by coupling together a water surface wave simulator with a 3D Navier-Stokes simulator.
The surface wave simulation uses the equivalent sources method (ESM) to efficiently
animate large bodies of water with precisely controllable wave propagation behavior.
The 3D liquid simulator animates complex non-linear fluid behaviors like splashes
and breaking waves using off-the-shelf simulators using FLIP or the level set
method with semi-Lagrangian advection.\r\nWe combine the two approaches by using
the 3D solver to animate localized non-linear behaviors, and the 2D wave solver
to animate larger regions with linear surface physics. We use the surface motion
from the 3D solver as boundary conditions for 2D surface wave simulator, and we
use the velocity and surface heights from the 2D surface wave simulator as boundary
conditions for the 3D fluid simulation. We also introduce a novel technique for
removing visual artifacts caused by numerical errors in 3D fluid solvers: we use
experimental data to estimate the artificial dispersion caused by the 3D solver
and we then carefully tune the wave speeds of the 2D solver to match it, effectively
eliminating any differences in wave behavior across the boundary. To the best
of our knowledge, this is the first time such a empirically driven error compensation
approach has been used to remove coupling errors from a physics simulator.\r\nOur
coupled simulation approach leverages the strengths of each simulation technique,
animating large environments with seamless transitions between 2D and 3D physics."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We wish to thank the anonymous reviewers and the members of the Visual
Computing Group at IST Austria and MFX Team at INRIA for their valuable feedback.
This research was supported by the Scientific Service Units (SSU) of IST Austria
through resources provided by Scientific Computing. This project has received funding
from the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation programme under grant agreement No. 638176.
article_processing_charge: No
article_type: original
author:
- first_name: Camille
full_name: Schreck, Camille
id: 2B14B676-F248-11E8-B48F-1D18A9856A87
last_name: Schreck
- first_name: Christopher J
full_name: Wojtan, Christopher J
id: 3C61F1D2-F248-11E8-B48F-1D18A9856A87
last_name: Wojtan
orcid: 0000-0001-6646-5546
citation:
ama: Schreck C, Wojtan C. Coupling 3D liquid simulation with 2D wave propagation
for large scale water surface animation using the equivalent sources method. Computer
Graphics Forum. 2022;41(2):343-353. doi:10.1111/cgf.14478
apa: Schreck, C., & Wojtan, C. (2022). Coupling 3D liquid simulation with 2D
wave propagation for large scale water surface animation using the equivalent
sources method. Computer Graphics Forum. Wiley. https://doi.org/10.1111/cgf.14478
chicago: Schreck, Camille, and Chris Wojtan. “Coupling 3D Liquid Simulation with
2D Wave Propagation for Large Scale Water Surface Animation Using the Equivalent
Sources Method.” Computer Graphics Forum. Wiley, 2022. https://doi.org/10.1111/cgf.14478.
ieee: C. Schreck and C. Wojtan, “Coupling 3D liquid simulation with 2D wave propagation
for large scale water surface animation using the equivalent sources method,”
Computer Graphics Forum, vol. 41, no. 2. Wiley, pp. 343–353, 2022.
ista: Schreck C, Wojtan C. 2022. Coupling 3D liquid simulation with 2D wave propagation
for large scale water surface animation using the equivalent sources method. Computer
Graphics Forum. 41(2), 343–353.
mla: Schreck, Camille, and Chris Wojtan. “Coupling 3D Liquid Simulation with 2D
Wave Propagation for Large Scale Water Surface Animation Using the Equivalent
Sources Method.” Computer Graphics Forum, vol. 41, no. 2, Wiley, 2022,
pp. 343–53, doi:10.1111/cgf.14478.
short: C. Schreck, C. Wojtan, Computer Graphics Forum 41 (2022) 343–353.
date_created: 2022-06-05T22:01:49Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2023-08-02T06:44:05Z
day: '01'
department:
- _id: ChWo
doi: 10.1111/cgf.14478
ec_funded: 1
external_id:
isi:
- '000802723900027'
intvolume: ' 41'
isi: 1
issue: '2'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://hal.archives-ouvertes.fr/hal-03641349/
month: '05'
oa: 1
oa_version: Submitted Version
page: 343-353
project:
- _id: 2533E772-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '638176'
name: Efficient Simulation of Natural Phenomena at Extremely Large Scales
publication: Computer Graphics Forum
publication_identifier:
eissn:
- 1467-8659
issn:
- 0167-7055
publication_status: published
publisher: Wiley
quality_controlled: '1'
scopus_import: '1'
status: public
title: Coupling 3D liquid simulation with 2D wave propagation for large scale water
surface animation using the equivalent sources method
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 41
year: '2022'
...
---
_id: '11556'
abstract:
- lang: eng
text: "We revisit two basic Direct Simulation Monte Carlo Methods to model aggregation
kinetics and extend them for aggregation processes with collisional fragmentation
(shattering). We test the performance and accuracy of the extended methods and
compare their performance with efficient deterministic finite-difference method
applied to the same model. We validate the stochastic methods on the test problems
and apply them to verify the existence of oscillating regimes in the aggregation-fragmentation
kinetics recently detected in deterministic simulations. We confirm the emergence
of steady oscillations of densities in such systems and prove the stability of
the\r\noscillations with respect to fluctuations and noise."
acknowledgement: Zhores supercomputer of Skolkovo Institute of Science and Technology
[68] has been used in the present research. S.A.M. was supported by Moscow Center
for Fundamental and Applied Mathematics (the agreement with the Ministry of Education
and Science of the Russian Federation No. 075-15-2019-1624). A.I.O. acknowledges
RFBR project No. 20-31-90022. N.V.B. acknowledges the support of the Analytical
Center (subsidy agreement 000000D730321P5Q0002, Grant No. 70-2021-00145 02.11.2021).
article_number: '111439'
article_processing_charge: No
article_type: original
author:
- first_name: Aleksei
full_name: Kalinov, Aleksei
id: 44b7120e-eb97-11eb-a6c2-e1557aa81d02
last_name: Kalinov
orcid: 0000-0003-2189-3904
- first_name: A.I.
full_name: Osinskiy, A.I.
last_name: Osinskiy
- first_name: S.A.
full_name: Matveev, S.A.
last_name: Matveev
- first_name: W.
full_name: Otieno, W.
last_name: Otieno
- first_name: N.V.
full_name: Brilliantov, N.V.
last_name: Brilliantov
citation:
ama: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. Direct simulation
Monte Carlo for new regimes in aggregation-fragmentation kinetics. Journal
of Computational Physics. 2022;467. doi:10.1016/j.jcp.2022.111439
apa: Kalinov, A., Osinskiy, A. I., Matveev, S. A., Otieno, W., & Brilliantov,
N. V. (2022). Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
kinetics. Journal of Computational Physics. Elsevier. https://doi.org/10.1016/j.jcp.2022.111439
chicago: Kalinov, Aleksei, A.I. Osinskiy, S.A. Matveev, W. Otieno, and N.V. Brilliantov.
“Direct Simulation Monte Carlo for New Regimes in Aggregation-Fragmentation Kinetics.”
Journal of Computational Physics. Elsevier, 2022. https://doi.org/10.1016/j.jcp.2022.111439.
ieee: A. Kalinov, A. I. Osinskiy, S. A. Matveev, W. Otieno, and N. V. Brilliantov,
“Direct simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics,”
Journal of Computational Physics, vol. 467. Elsevier, 2022.
ista: Kalinov A, Osinskiy AI, Matveev SA, Otieno W, Brilliantov NV. 2022. Direct
simulation Monte Carlo for new regimes in aggregation-fragmentation kinetics.
Journal of Computational Physics. 467, 111439.
mla: Kalinov, Aleksei, et al. “Direct Simulation Monte Carlo for New Regimes in
Aggregation-Fragmentation Kinetics.” Journal of Computational Physics,
vol. 467, 111439, Elsevier, 2022, doi:10.1016/j.jcp.2022.111439.
short: A. Kalinov, A.I. Osinskiy, S.A. Matveev, W. Otieno, N.V. Brilliantov, Journal
of Computational Physics 467 (2022).
date_created: 2022-07-11T12:19:59Z
date_published: 2022-10-15T00:00:00Z
date_updated: 2023-08-03T11:55:06Z
day: '15'
ddc:
- '518'
department:
- _id: GradSch
- _id: ChWo
doi: 10.1016/j.jcp.2022.111439
external_id:
arxiv:
- '2103.09481'
isi:
- '000917225500013'
intvolume: ' 467'
isi: 1
keyword:
- Computer Science Applications
- Physics and Astronomy (miscellaneous)
- Applied Mathematics
- Computational Mathematics
- Modeling and Simulation
- Numerical Analysis
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.2103.09481
month: '10'
oa: 1
oa_version: Preprint
publication: Journal of Computational Physics
publication_identifier:
issn:
- 0021-9991
publication_status: published
publisher: Elsevier
quality_controlled: '1'
status: public
title: Direct simulation Monte Carlo for new regimes in aggregation-fragmentation
kinetics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 467
year: '2022'
...
---
_id: '11736'
abstract:
- lang: eng
text: "This paper introduces a methodology for inverse-modeling of yarn-level mechanics
of cloth, based on the mechanical response of fabrics in the real world. We compiled
a database from physical tests of several different knitted fabrics used in the
textile industry. These data span different types of complex knit patterns, yarn
compositions, and fabric finishes, and the results demonstrate diverse physical
properties like stiffness, nonlinearity, and anisotropy.\r\n\r\nWe then develop
a system for approximating these mechanical responses with yarn-level cloth simulation.
To do so, we introduce an efficient pipeline for converting between fabric-level
data and yarn-level simulation, including a novel swatch-level approximation for
speeding up computation, and some small-but-necessary extensions to yarn-level
models used in computer graphics. The dataset used for this paper can be found
at http://mslab.es/projects/YarnLevelFabrics."
acknowledged_ssus:
- _id: ScienComp
acknowledgement: We wish to thank the anonymous reviewers for their helpful comments.
To develop this project, we were helped by many people both at Under Armour (Clay
Dean, Randall Harward, Kyle Blakely, Craig Simile, Michael Seiz, Brooke Malone,
Brittainy McFarland, Emilie Phan, Lindsey Kern, Courtney Oswald, Haley Barkley,
Bob Chin, Adam Bayer, Connie Kwok, Marielle Newman, Nick Pence, Allison Hicks, Allison
White, Candace Rubenstein, Jeremy Stangland, Fred Fagergren, Michael Mazzoleni,
Nathaniel Berry, Manuel Frank) and SEDDI (Gabriel Cirio, Alejandro Rodríguez, Sofía
Dominguez, Alicia Nicas, Elena Garcés, Daniel Rodríguez, David Pascual, Manuel Godoy,
Sergio Suja, Sergio Ruiz, Roberto Condori, Alberto Martín, Graham Sullivan). We
also thank the members of the Visual Computing Group at IST Austria and the Multimodal
Simulation Lab at URJC for their feedback. This research was supported by the Scientific
Service Units (SSU) of IST Austria through resources provided by Scientific Computing,
and it was funded in part by the European Research Council (ERC Consolidator Grant
772738 TouchDesign).
article_number: '65'
article_processing_charge: No
article_type: original
author:
- first_name: Georg
full_name: Sperl, Georg
id: 4DD40360-F248-11E8-B48F-1D18A9856A87
last_name: Sperl
- first_name: Rosa M.
full_name: Sánchez-Banderas, Rosa M.
last_name: Sánchez-Banderas
- first_name: Manwen
full_name: Li, Manwen
last_name: Li
- 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: Miguel A.
full_name: Otaduy, Miguel A.
last_name: Otaduy
citation:
ama: Sperl G, Sánchez-Banderas RM, Li M, Wojtan C, Otaduy MA. Estimation of yarn-level
simulation models for production fabrics. ACM Transactions on Graphics.
2022;41(4). doi:10.1145/3528223.3530167
apa: Sperl, G., Sánchez-Banderas, R. M., Li, M., Wojtan, C., & Otaduy, M. A.
(2022). Estimation of yarn-level simulation models for production fabrics. ACM
Transactions on Graphics. Association for Computing Machinery. https://doi.org/10.1145/3528223.3530167
chicago: Sperl, Georg, Rosa M. Sánchez-Banderas, Manwen Li, Chris Wojtan, and Miguel
A. Otaduy. “Estimation of Yarn-Level Simulation Models for Production Fabrics.”
ACM Transactions on Graphics. Association for Computing Machinery, 2022.
https://doi.org/10.1145/3528223.3530167.
ieee: G. Sperl, R. M. Sánchez-Banderas, M. Li, C. Wojtan, and M. A. Otaduy, “Estimation
of yarn-level simulation models for production fabrics,” ACM Transactions on
Graphics, vol. 41, no. 4. Association for Computing Machinery, 2022.
ista: Sperl G, Sánchez-Banderas RM, Li M, Wojtan C, Otaduy MA. 2022. Estimation
of yarn-level simulation models for production fabrics. ACM Transactions on Graphics.
41(4), 65.
mla: Sperl, Georg, et al. “Estimation of Yarn-Level Simulation Models for Production
Fabrics.” ACM Transactions on Graphics, vol. 41, no. 4, 65, Association
for Computing Machinery, 2022, doi:10.1145/3528223.3530167.
short: G. Sperl, R.M. Sánchez-Banderas, M. Li, C. Wojtan, M.A. Otaduy, ACM Transactions
on Graphics 41 (2022).
date_created: 2022-08-07T22:01:58Z
date_published: 2022-07-22T00:00:00Z
date_updated: 2023-08-03T12:38:30Z
day: '22'
department:
- _id: ChWo
doi: 10.1145/3528223.3530167
external_id:
isi:
- '000830989200114'
intvolume: ' 41'
isi: 1
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.1145/3528223.3530167
month: '07'
oa: 1
oa_version: Published Version
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
link:
- description: News on the ISTA website
relation: press_release
url: https://ista.ac.at/en/news/digital-yarn-real-socks/
record:
- id: '12358'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Estimation of yarn-level simulation models for production fabrics
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 41
year: '2022'
...
---
_id: '12431'
abstract:
- lang: eng
text: This paper presents a new representation of curve dynamics, with applications
to vortex filaments in fluid dynamics. Instead of representing these filaments
with explicit curve geometry and Lagrangian equations of motion, we represent
curves implicitly with a new co-dimensional 2 level set description. Our implicit
representation admits several redundant mathematical degrees of freedom in both
the configuration and the dynamics of the curves, which can be tailored specifically
to improve numerical robustness, in contrast to naive approaches for implicit
curve dynamics that suffer from overwhelming numerical stability problems. Furthermore,
we note how these hidden degrees of freedom perfectly map to a Clebsch representation
in fluid dynamics. Motivated by these observations, we introduce untwisted level
set functions and non-swirling dynamics which successfully regularize sources
of numerical instability, particularly in the twisting modes around curve filaments.
A consequence is a novel simulation method which produces stable dynamics for
large numbers of interacting vortex filaments and effortlessly handles topological
changes and re-connection events.
acknowledgement: We thank the visual computing group at IST Austria for their valuable
discussions and feedback. Houdini Education licenses were provided by SideFX software.
This project was funded in part by the European Research Council (ERC Consolidator
Grant 101045083 CoDiNA).
article_number: '241'
article_processing_charge: No
article_type: original
author:
- first_name: Sadashige
full_name: Ishida, Sadashige
id: 6F7C4B96-A8E9-11E9-A7CA-09ECE5697425
last_name: Ishida
- 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: Albert
full_name: Chern, Albert
last_name: Chern
citation:
ama: Ishida S, Wojtan C, Chern A. Hidden degrees of freedom in implicit vortex filaments.
ACM Transactions on Graphics. 2022;41(6). doi:10.1145/3550454.3555459
apa: Ishida, S., Wojtan, C., & Chern, A. (2022). Hidden degrees of freedom in
implicit vortex filaments. ACM Transactions on Graphics. Association for
Computing Machinery. https://doi.org/10.1145/3550454.3555459
chicago: Ishida, Sadashige, Chris Wojtan, and Albert Chern. “Hidden Degrees of Freedom
in Implicit Vortex Filaments.” ACM Transactions on Graphics. Association
for Computing Machinery, 2022. https://doi.org/10.1145/3550454.3555459.
ieee: S. Ishida, C. Wojtan, and A. Chern, “Hidden degrees of freedom in implicit
vortex filaments,” ACM Transactions on Graphics, vol. 41, no. 6. Association
for Computing Machinery, 2022.
ista: Ishida S, Wojtan C, Chern A. 2022. Hidden degrees of freedom in implicit vortex
filaments. ACM Transactions on Graphics. 41(6), 241.
mla: Ishida, Sadashige, et al. “Hidden Degrees of Freedom in Implicit Vortex Filaments.”
ACM Transactions on Graphics, vol. 41, no. 6, 241, Association for Computing
Machinery, 2022, doi:10.1145/3550454.3555459.
short: S. Ishida, C. Wojtan, A. Chern, ACM Transactions on Graphics 41 (2022).
date_created: 2023-01-29T23:00:59Z
date_published: 2022-12-01T00:00:00Z
date_updated: 2023-08-04T09:37:23Z
day: '01'
ddc:
- '000'
department:
- _id: ChWo
doi: 10.1145/3550454.3555459
external_id:
isi:
- '000891651900061'
file:
- access_level: open_access
checksum: a2fba257fdefe0e747182be6c0f7c70c
content_type: application/pdf
creator: dernst
date_created: 2023-01-30T07:15:48Z
date_updated: 2023-01-30T07:15:48Z
file_id: '12433'
file_name: 2022_ACM_Ishida.pdf
file_size: 15551202
relation: main_file
success: 1
file_date_updated: 2023-01-30T07:15:48Z
has_accepted_license: '1'
intvolume: ' 41'
isi: 1
issue: '6'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 34bc2376-11ca-11ed-8bc3-9a3b3961a088
grant_number: '101045083'
name: Computational Discovery of Numerical Algorithms for Animation and Simulation
of Natural Phenomena
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
scopus_import: '1'
status: public
title: Hidden degrees of freedom in implicit vortex filaments
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 41
year: '2022'
...
---
_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:10.15479/at:ista:12103'
apa: 'Sperl, G. (2022). Homogenizing yarn simulations: Large-scale mechanics,
small-scale detail, and quantitative fitting. Institute of Science and Technology
Austria. https://doi.org/10.15479/at:ista:12103'
chicago: 'Sperl, Georg. “Homogenizing Yarn Simulations: Large-Scale Mechanics, Small-Scale
Detail, and Quantitative Fitting.” Institute of Science and Technology Austria,
2022. https://doi.org/10.15479/at:ista:12103.'
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. Homogenizing Yarn Simulations: Large-Scale Mechanics, Small-Scale
Detail, and Quantitative Fitting. Institute of Science and Technology Austria,
2022, doi:10.15479/at:ista:12103.'
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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language:
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month: '09'
oa: 1
oa_version: Published Version
page: '138'
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
related_material:
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relation: part_of_dissertation
status: public
- id: '9818'
relation: part_of_dissertation
status: public
- id: '8385'
relation: part_of_dissertation
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: 'Homogenizing yarn simulations: Large-scale mechanics, small-scale detail,
and quantitative fitting'
type: dissertation
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
year: '2022'
...