---
_id: '9817'
abstract:
- lang: eng
text: Elastic bending of initially flat slender elements allows the realization
and economic fabrication of intriguing curved shapes. In this work, we derive
an intuitive but rigorous geometric characterization of the design space of plane
elastic rods with variable stiffness. It enables designers to determine which
shapes are physically viable with active bending by visual inspection alone. Building
on these insights, we propose a method for efficiently designing the geometry
of a flat elastic rod that realizes a target equilibrium curve, which only requires
solving a linear program. We implement this method in an interactive computational
design tool that gives feedback about the feasibility of a design, and computes
the geometry of the structural elements necessary to realize it within an instant.
The tool also offers an iterative optimization routine that improves the fabricability
of a model while modifying it as little as possible. In addition, we use our geometric
characterization to derive an algorithm for analyzing and recovering the stability
of elastic curves that would otherwise snap out of their unstable equilibrium
shapes by buckling. We show the efficacy of our approach by designing and manufacturing
several physical models that are assembled from flat elements.
acknowledgement: "We thank the anonymous reviewers for their generous feedback, and
Michal Piovarči for his help in producing the supplemental video. This project has
received funding from the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation programme (grant agreement No 715767).\r\n"
article_number: '126'
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
citation:
ama: Hafner C, Bickel B. The design space of plane elastic curves. ACM Transactions
on Graphics. 2021;40(4). doi:10.1145/3450626.3459800
apa: 'Hafner, C., & Bickel, B. (2021). The design space of plane elastic curves.
ACM Transactions on Graphics. Virtual: Association for Computing Machinery.
https://doi.org/10.1145/3450626.3459800'
chicago: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic
Curves.” ACM Transactions on Graphics. Association for Computing Machinery,
2021. https://doi.org/10.1145/3450626.3459800.
ieee: C. Hafner and B. Bickel, “The design space of plane elastic curves,” ACM
Transactions on Graphics, vol. 40, no. 4. Association for Computing Machinery,
2021.
ista: Hafner C, Bickel B. 2021. The design space of plane elastic curves. ACM Transactions
on Graphics. 40(4), 126.
mla: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic Curves.”
ACM Transactions on Graphics, vol. 40, no. 4, 126, Association for Computing
Machinery, 2021, doi:10.1145/3450626.3459800.
short: C. Hafner, B. Bickel, ACM Transactions on Graphics 40 (2021).
conference:
end_date: 2021-08-13
location: Virtual
name: 'SIGGRAF: Special Interest Group on Computer Graphics and Interactive Techniques'
start_date: 2021-08-09
date_created: 2021-08-08T22:01:26Z
date_published: 2021-07-19T00:00:00Z
date_updated: 2024-03-28T23:30:47Z
day: '19'
ddc:
- '516'
department:
- _id: BeBi
doi: 10.1145/3450626.3459800
ec_funded: 1
external_id:
isi:
- '000674930900091'
file:
- access_level: open_access
checksum: 7e5d08ce46b0451b3102eacd3d00f85f
content_type: application/pdf
creator: chafner
date_created: 2021-10-18T10:42:15Z
date_updated: 2021-10-18T10:42:15Z
file_id: '10150'
file_name: elastic-curves-paper.pdf
file_size: 17064290
relation: main_file
success: 1
- access_level: open_access
checksum: 0088643478be7c01a703b5b10767348f
content_type: application/pdf
creator: chafner
date_created: 2021-10-18T10:42:22Z
date_updated: 2021-10-18T10:42:22Z
file_id: '10151'
file_name: elastic-curves-supp.pdf
file_size: 547156
relation: supplementary_material
file_date_updated: 2021-10-18T10:42:22Z
has_accepted_license: '1'
intvolume: ' 40'
isi: 1
issue: '4'
keyword:
- Computing methodologies
- shape modeling
- modeling and simulation
- theory of computation
- computational geometry
- mathematics of computing
- mathematical optimization
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
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 IST Website
relation: press_release
url: https://ist.ac.at/en/news/designing-with-elastic-structures/
record:
- id: '12897'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The design space of plane elastic curves
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: 40
year: '2021'
...
---
_id: '9208'
abstract:
- lang: eng
text: 'Bending-active structures are able to efficiently produce complex curved
shapes from flat panels. The desired deformation of the panels derives from the
proper selection of their elastic properties. Optimized panels, called FlexMaps,
are designed such that, once they are bent and assembled, the resulting static
equilibrium configuration matches a desired input 3D shape. The FlexMaps elastic
properties are controlled by locally varying spiraling geometric mesostructures,
which are optimized in size and shape to match specific bending requests, namely
the global curvature of the target shape. The design pipeline starts from a quad
mesh representing the input 3D shape, which defines the edge size and the total
amount of spirals: every quad will embed one spiral. Then, an optimization algorithm
tunes the geometry of the spirals by using a simplified pre-computed rod model.
This rod model is derived from a non-linear regression algorithm which approximates
the non-linear behavior of solid FEM spiral models subject to hundreds of load
combinations. This innovative pipeline has been applied to the project of a lightweight
plywood pavilion named FlexMaps Pavilion, which is a single-layer piecewise twisted
arch that fits a bounding box of 3.90x3.96x3.25 meters. This case study serves
to test the applicability of this methodology at the architectural scale. The
structure is validated via FE analyses and the fabrication of the full scale prototype.'
acknowledgement: 'The FlexMaps Pavilion has been awarded First Prize at the “Competition
and Exhibition of innovative lightweight structures” organized by the IASS Working
Group 21 within the FORM and FORCE, joint international conference of IASS Symposium
2019 and Structural Membranes 2019 (Barcelona, 7-11 October 2019) with the following
motivation: “for its structural innovation of bending-twisting system, connection
constructability and exquisite craftmanship”[20]. The authors would like to acknowledge
the Visual Computing Lab Staff of ISTI - CNR, in particular Thomas Alderighi, Marco
Callieri, Paolo Pingi; Antonio Rizzo of IPCF - CNR; and the Administrative Staff
of ISTI - CNR. This research was partially funded by the EU H2020 Programme EVOCATION:
Advanced Visual and Geometric Computing for 3D Capture, Display, and Fabrication
(grant no. 813170).'
article_number: '1505'
article_processing_charge: No
article_type: original
author:
- first_name: Francesco
full_name: Laccone, Francesco
last_name: Laccone
- first_name: Luigi
full_name: Malomo, Luigi
last_name: Malomo
- first_name: Jesus
full_name: Perez Rodriguez, Jesus
id: 2DC83906-F248-11E8-B48F-1D18A9856A87
last_name: Perez Rodriguez
- first_name: Nico
full_name: Pietroni, Nico
last_name: Pietroni
- first_name: Federico
full_name: Ponchio, Federico
last_name: Ponchio
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
- first_name: Paolo
full_name: Cignoni, Paolo
last_name: Cignoni
citation:
ama: 'Laccone F, Malomo L, Perez Rodriguez J, et al. A bending-active twisted-arch
plywood structure: Computational design and fabrication of the FlexMaps Pavilion.
SN Applied Sciences. 2020;2(9). doi:10.1007/s42452-020-03305-w'
apa: 'Laccone, F., Malomo, L., Perez Rodriguez, J., Pietroni, N., Ponchio, F., Bickel,
B., & Cignoni, P. (2020). A bending-active twisted-arch plywood structure:
Computational design and fabrication of the FlexMaps Pavilion. SN Applied Sciences.
Springer Nature. https://doi.org/10.1007/s42452-020-03305-w'
chicago: 'Laccone, Francesco, Luigi Malomo, Jesus Perez Rodriguez, Nico Pietroni,
Federico Ponchio, Bernd Bickel, and Paolo Cignoni. “A Bending-Active Twisted-Arch
Plywood Structure: Computational Design and Fabrication of the FlexMaps Pavilion.”
SN Applied Sciences. Springer Nature, 2020. https://doi.org/10.1007/s42452-020-03305-w.'
ieee: 'F. Laccone et al., “A bending-active twisted-arch plywood structure:
Computational design and fabrication of the FlexMaps Pavilion,” SN Applied
Sciences, vol. 2, no. 9. Springer Nature, 2020.'
ista: 'Laccone F, Malomo L, Perez Rodriguez J, Pietroni N, Ponchio F, Bickel B,
Cignoni P. 2020. A bending-active twisted-arch plywood structure: Computational
design and fabrication of the FlexMaps Pavilion. SN Applied Sciences. 2(9), 1505.'
mla: 'Laccone, Francesco, et al. “A Bending-Active Twisted-Arch Plywood Structure:
Computational Design and Fabrication of the FlexMaps Pavilion.” SN Applied
Sciences, vol. 2, no. 9, 1505, Springer Nature, 2020, doi:10.1007/s42452-020-03305-w.'
short: F. Laccone, L. Malomo, J. Perez Rodriguez, N. Pietroni, F. Ponchio, B. Bickel,
P. Cignoni, SN Applied Sciences 2 (2020).
date_created: 2021-02-28T23:01:25Z
date_published: 2020-09-01T00:00:00Z
date_updated: 2021-03-03T09:43:14Z
day: '01'
department:
- _id: BeBi
doi: 10.1007/s42452-020-03305-w
intvolume: ' 2'
issue: '9'
language:
- iso: eng
month: '09'
oa_version: None
publication: SN Applied Sciences
publication_identifier:
eissn:
- '25233971'
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'A bending-active twisted-arch plywood structure: Computational design and
fabrication of the FlexMaps Pavilion'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 2
year: '2020'
...
---
_id: '7220'
abstract:
- lang: eng
text: BACKGROUND:The introduction of image-guided methods to bypass surgery has
resulted in optimized preoperative identification of the recipients and excellent
patency rates. However, the recently presented methods have also been resource-consuming.
In the present study, we have reported a cost-efficient planning workflow for
extracranial-intracranial (EC-IC) revascularization combined with transdural indocyanine
green videoangiography (tICG-VA). METHODS:We performed a retrospective review
at a single tertiary referral center from 2011 to 2018. A novel software-derived
workflow was applied for 25 of 92 bypass procedures during the study period. The
precision and accuracy were assessed using tICG-VA identification of the cortical
recipients and a comparison of the virtual and actual data. The data from a control
group of 25 traditionally planned procedures were also matched. RESULTS:The intraoperative
transfer time of the calculated coordinates averaged 0.8 minute (range, 0.4-1.9
minutes). The definitive recipients matched the targeted branches in 80%, and
a neighboring branch was used in 16%. Our workflow led to a significant craniotomy
size reduction in the study group compared with that in the control group (P =
0.005). tICG-VA was successfully applied in 19 cases. An average of 2 potential
recipient arteries were identified transdurally, resulting in tailored durotomy
and 3 craniotomy adjustments. Follow-up patency results were available for 49
bypass surgeries, comprising 54 grafts. The overall patency rate was 91% at a
median follow-up period of 26 months. No significant difference was found in the
patency rate between the study and control groups (P = 0.317). CONCLUSIONS:Our
clinical results have validated the presented planning and surgical workflow and
support the routine implementation of tICG-VA for recipient identification before
durotomy.
article_processing_charge: No
article_type: original
author:
- first_name: Philippe
full_name: Dodier, Philippe
last_name: Dodier
- first_name: Thomas
full_name: Auzinger, Thomas
id: 4718F954-F248-11E8-B48F-1D18A9856A87
last_name: Auzinger
orcid: 0000-0002-1546-3265
- first_name: Gabriel
full_name: Mistelbauer, Gabriel
last_name: Mistelbauer
- first_name: Wei Te
full_name: Wang, Wei Te
last_name: Wang
- first_name: Heber
full_name: Ferraz-Leite, Heber
last_name: Ferraz-Leite
- first_name: Andreas
full_name: Gruber, Andreas
last_name: Gruber
- first_name: Wolfgang
full_name: Marik, Wolfgang
last_name: Marik
- first_name: Fabian
full_name: Winter, Fabian
last_name: Winter
- first_name: Gerrit
full_name: Fischer, Gerrit
last_name: Fischer
- first_name: Josa M.
full_name: Frischer, Josa M.
last_name: Frischer
- first_name: Gerhard
full_name: Bavinzski, Gerhard
last_name: Bavinzski
citation:
ama: Dodier P, Auzinger T, Mistelbauer G, et al. Novel software-derived workflow
in extracranial–intracranial bypass surgery validated by transdural indocyanine
green videoangiography. World Neurosurgery. 2020;134(2):e892-e902. doi:10.1016/j.wneu.2019.11.038
apa: Dodier, P., Auzinger, T., Mistelbauer, G., Wang, W. T., Ferraz-Leite, H., Gruber,
A., … Bavinzski, G. (2020). Novel software-derived workflow in extracranial–intracranial
bypass surgery validated by transdural indocyanine green videoangiography. World
Neurosurgery. Elsevier. https://doi.org/10.1016/j.wneu.2019.11.038
chicago: Dodier, Philippe, Thomas Auzinger, Gabriel Mistelbauer, Wei Te Wang, Heber
Ferraz-Leite, Andreas Gruber, Wolfgang Marik, et al. “Novel Software-Derived Workflow
in Extracranial–Intracranial Bypass Surgery Validated by Transdural Indocyanine
Green Videoangiography.” World Neurosurgery. Elsevier, 2020. https://doi.org/10.1016/j.wneu.2019.11.038.
ieee: P. Dodier et al., “Novel software-derived workflow in extracranial–intracranial
bypass surgery validated by transdural indocyanine green videoangiography,” World
Neurosurgery, vol. 134, no. 2. Elsevier, pp. e892–e902, 2020.
ista: Dodier P, Auzinger T, Mistelbauer G, Wang WT, Ferraz-Leite H, Gruber A, Marik
W, Winter F, Fischer G, Frischer JM, Bavinzski G. 2020. Novel software-derived
workflow in extracranial–intracranial bypass surgery validated by transdural indocyanine
green videoangiography. World Neurosurgery. 134(2), e892–e902.
mla: Dodier, Philippe, et al. “Novel Software-Derived Workflow in Extracranial–Intracranial
Bypass Surgery Validated by Transdural Indocyanine Green Videoangiography.” World
Neurosurgery, vol. 134, no. 2, Elsevier, 2020, pp. e892–902, doi:10.1016/j.wneu.2019.11.038.
short: P. Dodier, T. Auzinger, G. Mistelbauer, W.T. Wang, H. Ferraz-Leite, A. Gruber,
W. Marik, F. Winter, G. Fischer, J.M. Frischer, G. Bavinzski, World Neurosurgery
134 (2020) e892–e902.
date_created: 2019-12-29T23:00:48Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-08-17T14:14:23Z
day: '01'
department:
- _id: BeBi
doi: 10.1016/j.wneu.2019.11.038
external_id:
isi:
- '000512878200104'
pmid:
- '31733380'
intvolume: ' 134'
isi: 1
issue: '2'
language:
- iso: eng
month: '02'
oa_version: None
page: e892-e902
pmid: 1
publication: World Neurosurgery
publication_identifier:
eissn:
- 1878-8769
issn:
- 1878-8750
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Novel software-derived workflow in extracranial–intracranial bypass surgery
validated by transdural indocyanine green videoangiography
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 134
year: '2020'
...
---
_id: '7218'
abstract:
- lang: eng
text: The combined resection of skull-infiltrating tumours and immediate cranioplastic
reconstruction predominantly relies on freehand-moulded solutions. Techniques
that enable this procedure to be performed easily in routine clinical practice
would be useful. A cadaveric study was developed in which a new software tool
was used to perform single-stage reconstructions with prefabricated implants after
the resection of skull-infiltrating pathologies. A novel 3D visualization and
interaction framework was developed to create 10 virtual craniotomies in five
cadaveric specimens. Polyether ether ketone (PEEK) implants were manufactured
according to the bone defects. The image-guided craniotomy was reconstructed with
PEEK and compared to polymethyl methacrylate (PMMA). Navigational accuracy and
surgical precision were assessed. The PEEK workflow resulted in up to 10-fold
shorter reconstruction times than the standard technique. Surgical precision was
reflected by the mean 1.1 ± 0.29 mm distance between the virtual and real craniotomy,
with submillimetre precision in 50%. Assessment of the global offset between virtual
and actual craniotomy revealed an average shift of 4.5 ± 3.6 mm. The results validated
the ‘elective single-stage cranioplasty’ technique as a state-of-the-art virtual
planning method and surgical workflow. This patient-tailored workflow could significantly
reduce surgical times compared to the traditional, intraoperative acrylic moulding
method and may be an option for the reconstruction of bone defects in the craniofacial
region.
article_processing_charge: No
article_type: original
author:
- first_name: Philippe
full_name: Dodier, Philippe
last_name: Dodier
- first_name: Fabian
full_name: Winter, Fabian
last_name: Winter
- first_name: Thomas
full_name: Auzinger, Thomas
id: 4718F954-F248-11E8-B48F-1D18A9856A87
last_name: Auzinger
orcid: 0000-0002-1546-3265
- first_name: Gabriel
full_name: Mistelbauer, Gabriel
last_name: Mistelbauer
- first_name: Josa M.
full_name: Frischer, Josa M.
last_name: Frischer
- first_name: Wei Te
full_name: Wang, Wei Te
last_name: Wang
- first_name: Ammar
full_name: Mallouhi, Ammar
last_name: Mallouhi
- first_name: Wolfgang
full_name: Marik, Wolfgang
last_name: Marik
- first_name: Stefan
full_name: Wolfsberger, Stefan
last_name: Wolfsberger
- first_name: Lukas
full_name: Reissig, Lukas
last_name: Reissig
- first_name: Firas
full_name: Hammadi, Firas
last_name: Hammadi
- first_name: Christian
full_name: Matula, Christian
last_name: Matula
- first_name: Arnulf
full_name: Baumann, Arnulf
last_name: Baumann
- first_name: Gerhard
full_name: Bavinzski, Gerhard
last_name: Bavinzski
citation:
ama: 'Dodier P, Winter F, Auzinger T, et al. Single-stage bone resection and cranioplastic
reconstruction: Comparison of a novel software-derived PEEK workflow with the
standard reconstructive method. International Journal of Oral and Maxillofacial
Surgery. 2020;49(8):P1007-1015. doi:10.1016/j.ijom.2019.11.011'
apa: 'Dodier, P., Winter, F., Auzinger, T., Mistelbauer, G., Frischer, J. M., Wang,
W. T., … Bavinzski, G. (2020). Single-stage bone resection and cranioplastic reconstruction:
Comparison of a novel software-derived PEEK workflow with the standard reconstructive
method. International Journal of Oral and Maxillofacial Surgery. Elsevier.
https://doi.org/10.1016/j.ijom.2019.11.011'
chicago: 'Dodier, Philippe, Fabian Winter, Thomas Auzinger, Gabriel Mistelbauer,
Josa M. Frischer, Wei Te Wang, Ammar Mallouhi, et al. “Single-Stage Bone Resection
and Cranioplastic Reconstruction: Comparison of a Novel Software-Derived PEEK
Workflow with the Standard Reconstructive Method.” International Journal of
Oral and Maxillofacial Surgery. Elsevier, 2020. https://doi.org/10.1016/j.ijom.2019.11.011.'
ieee: 'P. Dodier et al., “Single-stage bone resection and cranioplastic reconstruction:
Comparison of a novel software-derived PEEK workflow with the standard reconstructive
method,” International Journal of Oral and Maxillofacial Surgery, vol.
49, no. 8. Elsevier, pp. P1007-1015, 2020.'
ista: 'Dodier P, Winter F, Auzinger T, Mistelbauer G, Frischer JM, Wang WT, Mallouhi
A, Marik W, Wolfsberger S, Reissig L, Hammadi F, Matula C, Baumann A, Bavinzski
G. 2020. Single-stage bone resection and cranioplastic reconstruction: Comparison
of a novel software-derived PEEK workflow with the standard reconstructive method.
International Journal of Oral and Maxillofacial Surgery. 49(8), P1007-1015.'
mla: 'Dodier, Philippe, et al. “Single-Stage Bone Resection and Cranioplastic Reconstruction:
Comparison of a Novel Software-Derived PEEK Workflow with the Standard Reconstructive
Method.” International Journal of Oral and Maxillofacial Surgery, vol.
49, no. 8, Elsevier, 2020, pp. P1007-1015, doi:10.1016/j.ijom.2019.11.011.'
short: P. Dodier, F. Winter, T. Auzinger, G. Mistelbauer, J.M. Frischer, W.T. Wang,
A. Mallouhi, W. Marik, S. Wolfsberger, L. Reissig, F. Hammadi, C. Matula, A. Baumann,
G. Bavinzski, International Journal of Oral and Maxillofacial Surgery 49 (2020)
P1007-1015.
date_created: 2019-12-29T23:00:47Z
date_published: 2020-08-01T00:00:00Z
date_updated: 2023-08-17T14:15:22Z
day: '01'
department:
- _id: BeBi
doi: 10.1016/j.ijom.2019.11.011
external_id:
isi:
- '000556819800005'
pmid:
- '31866145'
intvolume: ' 49'
isi: 1
issue: '8'
language:
- iso: eng
month: '08'
oa_version: None
page: P1007-1015
pmid: 1
publication: International Journal of Oral and Maxillofacial Surgery
publication_identifier:
eissn:
- 1399-0020
issn:
- 0901-5027
publication_status: published
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Single-stage bone resection and cranioplastic reconstruction: Comparison of
a novel software-derived PEEK workflow with the standard reconstructive method'
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 49
year: '2020'
...
---
_id: '8386'
abstract:
- lang: eng
text: "Form versus function is a long-standing debate in various design-related
fields, such as architecture as well as graphic and industrial design. A good
design that balances form and function often requires considerable human effort
and collaboration among experts from different professional fields. Computational
design tools provide a new paradigm for designing functional objects. In computational
design, form and function are represented as mathematical\r\nquantities, with
the help of numerical and combinatorial algorithms, they can assist even novice
users in designing versatile models that exhibit their desired functionality.
This thesis presents three disparate research studies on the computational design
of functional objects: The appearance of 3d print—we optimize the volumetric material
distribution for faithfully replicating colored surface texture in 3d printing;
the dynamic motion of mechanical structures—\r\nour design system helps the novice
user to retarget various mechanical templates with different functionality to
complex 3d shapes; and a more abstract functionality, multistability—our algorithm
automatically generates models that exhibit multiple stable target poses. For
each of these cases, our computational design tools not only ensure the functionality
of the results but also permit the user aesthetic freedom over the form. Moreover,
fabrication constraints\r\nwere taken into account, which allow for the immediate
creation of physical realization via 3D printing or laser cutting."
acknowledged_ssus:
- _id: SSU
acknowledgement: The research in this thesis has received funding from the European
Union’s Horizon 2020 research and innovation programme, under the Marie Skłodowska-Curie
grant agreement No 642841 (DISTRO) and the European Research Council grant agreement
No 715767 (MATERIALIZABLE). All the research projects in this thesis were also supported
by Scientific Service Units (SSUs) at IST Austria.
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Ran
full_name: Zhang, Ran
id: 4DDBCEB0-F248-11E8-B48F-1D18A9856A87
last_name: Zhang
orcid: 0000-0002-3808-281X
citation:
ama: Zhang R. Structure-aware computational design and its application to 3D printable
volume scattering, mechanism, and multistability. 2020. doi:10.15479/AT:ISTA:8386
apa: Zhang, R. (2020). Structure-aware computational design and its application
to 3D printable volume scattering, mechanism, and multistability. Institute
of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:8386
chicago: Zhang, Ran. “Structure-Aware Computational Design and Its Application to
3D Printable Volume Scattering, Mechanism, and Multistability.” Institute of Science
and Technology Austria, 2020. https://doi.org/10.15479/AT:ISTA:8386.
ieee: R. Zhang, “Structure-aware computational design and its application to 3D
printable volume scattering, mechanism, and multistability,” Institute of Science
and Technology Austria, 2020.
ista: Zhang R. 2020. Structure-aware computational design and its application to
3D printable volume scattering, mechanism, and multistability. Institute of Science
and Technology Austria.
mla: Zhang, Ran. Structure-Aware Computational Design and Its Application to
3D Printable Volume Scattering, Mechanism, and Multistability. Institute of
Science and Technology Austria, 2020, doi:10.15479/AT:ISTA:8386.
short: R. Zhang, Structure-Aware Computational Design and Its Application to 3D
Printable Volume Scattering, Mechanism, and Multistability, Institute of Science
and Technology Austria, 2020.
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title: Structure-aware computational design and its application to 3D printable volume
scattering, mechanism, and multistability
type: dissertation
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...