---
_id: '12897'
abstract:
- lang: eng
  text: "Inverse design problems in fabrication-aware shape optimization are typically
    solved on discrete representations such as polygonal meshes. This thesis argues
    that there are benefits to treating these problems in the same domain as human
    designers, namely, the parametric one. One reason is that discretizing a parametric
    model usually removes the capability of making further manual changes to the design,
    because the human intent is captured by the shape parameters. Beyond this, knowledge
    about a design problem can sometimes reveal a structure that is present in a smooth
    representation, but is fundamentally altered by discretizing. In this case, working
    in the parametric domain may even simplify the optimization task. We present two
    lines of research that explore both of these aspects of fabrication-aware shape
    optimization on parametric representations.\r\n\r\nThe first project studies the
    design of plane elastic curves and Kirchhoff rods, which are common mathematical
    models for describing the deformation of thin elastic rods such as beams, ribbons,
    cables, and hair. Our main contribution is a characterization of all curved shapes
    that can be attained by bending and twisting elastic rods having a stiffness that
    is allowed to vary across the length. Elements like these can be manufactured
    using digital fabrication devices such as 3d printers and digital cutters, and
    have applications in free-form architecture and soft robotics.\r\n\r\nWe show
    that the family of curved shapes that can be produced this way admits geometric
    description that is concise and computationally convenient. In the case of plane
    curves, the geometric description is intuitive enough to allow a designer to determine
    whether a curved shape is physically achievable by visual inspection alone. We
    also present shape optimization algorithms that convert a user-defined curve in
    the plane or in three dimensions into the geometry of an elastic rod that will
    naturally deform to follow this curve when its endpoints are attached to a support
    structure. Implemented in an interactive software design tool, the rod geometry
    is generated in real time as the user edits a curve and enables fast prototyping.
    \r\n\r\nThe second project tackles the problem of general-purpose shape optimization
    on CAD models using a novel variant of the extended finite element method (XFEM).
    Our goal is the decoupling between the simulation mesh and the CAD model, so no
    geometry-dependent meshing or remeshing needs to be performed when the CAD parameters
    change during optimization. This is achieved by discretizing the embedding space
    of the CAD model, and using a new high-accuracy numerical integration method to
    enable XFEM on free-form elements bounded by the parametric surface patches of
    the model. Our simulation is differentiable from the CAD parameters to the simulation
    output, which enables us to use off-the-shelf gradient-based optimization procedures.
    The result is a method that fits seamlessly into the CAD workflow because it works
    on the same representation as the designer, enabling the alternation of manual
    editing and fabrication-aware optimization at will."
acknowledged_ssus:
- _id: M-Shop
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Christian
  full_name: Hafner, Christian
  id: 400429CC-F248-11E8-B48F-1D18A9856A87
  last_name: Hafner
citation:
  ama: 'Hafner C. Inverse shape design with parametric representations: Kirchhoff
    Rods and parametric surface models. 2023. doi:<a href="https://doi.org/10.15479/at:ista:12897">10.15479/at:ista:12897</a>'
  apa: 'Hafner, C. (2023). <i>Inverse shape design with parametric representations:
    Kirchhoff Rods and parametric surface models</i>. Institute of Science and Technology
    Austria. <a href="https://doi.org/10.15479/at:ista:12897">https://doi.org/10.15479/at:ista:12897</a>'
  chicago: 'Hafner, Christian. “Inverse Shape Design with Parametric Representations:
    Kirchhoff Rods and Parametric Surface Models.” Institute of Science and Technology
    Austria, 2023. <a href="https://doi.org/10.15479/at:ista:12897">https://doi.org/10.15479/at:ista:12897</a>.'
  ieee: 'C. Hafner, “Inverse shape design with parametric representations: Kirchhoff
    Rods and parametric surface models,” Institute of Science and Technology Austria,
    2023.'
  ista: 'Hafner C. 2023. Inverse shape design with parametric representations: Kirchhoff
    Rods and parametric surface models. Institute of Science and Technology Austria.'
  mla: 'Hafner, Christian. <i>Inverse Shape Design with Parametric Representations:
    Kirchhoff Rods and Parametric Surface Models</i>. Institute of Science and Technology
    Austria, 2023, doi:<a href="https://doi.org/10.15479/at:ista:12897">10.15479/at:ista:12897</a>.'
  short: 'C. Hafner, Inverse Shape Design with Parametric Representations: Kirchhoff
    Rods and Parametric Surface Models, Institute of Science and Technology Austria,
    2023.'
date_created: 2023-05-05T10:40:14Z
date_published: 2023-05-05T00:00:00Z
date_updated: 2024-01-29T10:47:51Z
day: '05'
ddc:
- '516'
- '004'
- '518'
- '531'
degree_awarded: PhD
department:
- _id: GradSch
- _id: BeBi
doi: 10.15479/at:ista:12897
ec_funded: 1
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project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715767'
  name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
    Modeling'
publication_identifier:
  isbn:
  - 978-3-99078-031-2
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
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    relation: part_of_dissertation
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    relation: dissertation_contains
    status: public
status: public
supervisor:
- first_name: Bernd
  full_name: Bickel, Bernd
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
title: 'Inverse shape design with parametric representations: Kirchhoff Rods and parametric
  surface models'
type: dissertation
user_id: 400429CC-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
---
_id: '8366'
abstract:
- lang: eng
  text: "Fabrication of curved shells plays an important role in modern design, industry,
    and science. Among their remarkable properties are, for example, aesthetics of
    organic shapes, ability to evenly distribute loads, or efficient flow separation.
    They find applications across vast length scales ranging from sky-scraper architecture
    to microscopic devices. But, at\r\nthe same time, the design of curved shells
    and their manufacturing process pose a variety of challenges. In this thesis,
    they are addressed from several perspectives. In particular, this thesis presents
    approaches based on the transformation of initially flat sheets into the target
    curved surfaces. This involves problems of interactive design of shells with nontrivial
    mechanical constraints, inverse design of complex structural materials, and data-driven
    modeling of delicate and time-dependent physical properties. At the same time,
    two newly-developed self-morphing mechanisms targeting flat-to-curved transformation
    are presented.\r\nIn architecture, doubly curved surfaces can be realized as cold
    bent glass panelizations. Originally flat glass panels are bent into frames and
    remain stressed. This is a cost-efficient fabrication approach compared to hot
    bending, when glass panels are shaped plastically. However such constructions
    are prone to breaking during bending, and it is highly\r\nnontrivial to navigate
    the design space, keeping the panels fabricable and aesthetically pleasing at
    the same time. We introduce an interactive design system for cold bent glass façades,
    while previously even offline optimization for such scenarios has not been sufficiently
    developed. Our method is based on a deep learning approach providing quick\r\nand
    high precision estimation of glass panel shape and stress while handling the shape\r\nmultimodality.\r\nFabrication
    of smaller objects of scales below 1 m, can also greatly benefit from shaping
    originally flat sheets. In this respect, we designed new self-morphing shell mechanisms
    transforming from an initial flat state to a doubly curved state with high precision
    and detail. Our so-called CurveUps demonstrate the encodement of the geometric
    information\r\ninto the shell. Furthermore, we explored the frontiers of programmable
    materials and showed how temporal information can additionally be encoded into
    a flat shell. This allows prescribing deformation sequences for doubly curved
    surfaces and, thus, facilitates self-collision avoidance enabling complex shapes
    and functionalities otherwise impossible.\r\nBoth of these methods include inverse
    design tools keeping the user in the design loop."
acknowledged_ssus:
- _id: M-Shop
- _id: ScienComp
acknowledgement: "During the work on this thesis, I received substantial support from
  IST Austria’s scientific service units. A big thank you to Todor Asenov and other
  Miba Machine Shop team members for their help with fabrication of experimental prototypes.
  In addition, I would like to thank Scientific Computing team for the support with
  high performance computing.\r\nFinancial support was provided by the European Research
  Council (ERC) under grant agreement No 715767 - MATERIALIZABLE: Intelligent fabrication-oriented
  Computational Design and Modeling, which I gratefully acknowledge."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Ruslan
  full_name: Guseinov, Ruslan
  id: 3AB45EE2-F248-11E8-B48F-1D18A9856A87
  last_name: Guseinov
  orcid: 0000-0001-9819-5077
citation:
  ama: 'Guseinov R. Computational design of curved thin shells: From glass façades
    to programmable matter. 2020. doi:<a href="https://doi.org/10.15479/AT:ISTA:8366">10.15479/AT:ISTA:8366</a>'
  apa: 'Guseinov, R. (2020). <i>Computational design of curved thin shells: From glass
    façades to programmable matter</i>. Institute of Science and Technology Austria.
    <a href="https://doi.org/10.15479/AT:ISTA:8366">https://doi.org/10.15479/AT:ISTA:8366</a>'
  chicago: 'Guseinov, Ruslan. “Computational Design of Curved Thin Shells: From Glass
    Façades to Programmable Matter.” Institute of Science and Technology Austria,
    2020. <a href="https://doi.org/10.15479/AT:ISTA:8366">https://doi.org/10.15479/AT:ISTA:8366</a>.'
  ieee: 'R. Guseinov, “Computational design of curved thin shells: From glass façades
    to programmable matter,” Institute of Science and Technology Austria, 2020.'
  ista: 'Guseinov R. 2020. Computational design of curved thin shells: From glass
    façades to programmable matter. Institute of Science and Technology Austria.'
  mla: 'Guseinov, Ruslan. <i>Computational Design of Curved Thin Shells: From Glass
    Façades to Programmable Matter</i>. Institute of Science and Technology Austria,
    2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:8366">10.15479/AT:ISTA:8366</a>.'
  short: 'R. Guseinov, Computational Design of Curved Thin Shells: From Glass Façades
    to Programmable Matter, Institute of Science and Technology Austria, 2020.'
date_created: 2020-09-10T16:19:55Z
date_published: 2020-09-21T00:00:00Z
date_updated: 2024-02-21T12:44:29Z
day: '21'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: BeBi
doi: 10.15479/AT:ISTA:8366
ec_funded: 1
file:
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keyword:
- computer-aided design
- shape modeling
- self-morphing
- mechanical engineering
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '118'
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715767'
  name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
    Modeling'
publication_identifier:
  isbn:
  - 978-3-99078-010-7
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
  record:
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    relation: research_data
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  - id: '7262'
    relation: part_of_dissertation
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    relation: part_of_dissertation
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    relation: part_of_dissertation
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    relation: research_data
    status: public
status: public
supervisor:
- first_name: Bernd
  full_name: Bickel, Bernd
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
title: 'Computational design of curved thin shells: From glass façades to programmable
  matter'
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
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:<a href="https://doi.org/10.15479/AT:ISTA:8386">10.15479/AT:ISTA:8386</a>
  apa: Zhang, R. (2020). <i>Structure-aware computational design and its application
    to 3D printable volume scattering, mechanism, and multistability</i>. Institute
    of Science and Technology Austria. <a href="https://doi.org/10.15479/AT:ISTA:8386">https://doi.org/10.15479/AT:ISTA:8386</a>
  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. <a href="https://doi.org/10.15479/AT:ISTA:8386">https://doi.org/10.15479/AT:ISTA:8386</a>.
  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. <i>Structure-Aware Computational Design and Its Application to
    3D Printable Volume Scattering, Mechanism, and Multistability</i>. Institute of
    Science and Technology Austria, 2020, doi:<a href="https://doi.org/10.15479/AT:ISTA:8386">10.15479/AT:ISTA:8386</a>.
  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.
date_created: 2020-09-14T01:04:53Z
date_published: 2020-09-14T00:00:00Z
date_updated: 2023-09-22T09:49:31Z
day: '14'
ddc:
- '003'
degree_awarded: PhD
department:
- _id: BeBi
doi: 10.15479/AT:ISTA:8386
ec_funded: 1
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language:
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month: '09'
oa: 1
oa_version: Published Version
page: '148'
project:
- _id: 2508E324-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '642841'
  name: Distributed 3D Object Design
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '715767'
  name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
    Modeling'
publication_identifier:
  issn:
  - 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
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    status: public
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status: public
supervisor:
- first_name: Bernd
  full_name: Bickel, Bernd
  id: 49876194-F248-11E8-B48F-1D18A9856A87
  last_name: Bickel
  orcid: 0000-0001-6511-9385
title: Structure-aware computational design and its application to 3D printable volume
  scattering, mechanism, and multistability
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...
