Curved support structures and meshes with spherical vertex stars

Martin Kilian; Hui Wang; Eike Schling; Jonas Schikore; Helmut Pottmann

doi:10.1145/3230744.3230787

Curved support structures and meshes with spherical vertex stars

Martin Kilian, Hui Wang, Eike Schling, Jonas Schikore, Helmut Pottmann

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

The computation and construction of curved beams along freeform skins pose many challenges. We show how to use surfaces of constant mean curvature (CMC) to compute beam networks with beneficial properties, both aesthetically and from a fabrication perspective. To explore variations of such networks we introduce a new discretization of CMC surfaces as quadrilateral meshes with spherical vertex stars and right node angles. The computed non-CMC surface variations can be seen as a path in design space - exploring possible solutions in a neighborhood, or represent an actual erection sequence exploiting elastic material behavior.

Original language	English (US)
Title of host publication	ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018
Publisher	Association for Computing Machinery, Inc
ISBN (Print)	9781450358170
DOIs	https://doi.org/10.1145/3230744.3230787
State	Published - Aug 12 2018
Event	ACM SIGGRAPH 2018 Posters - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2018 - Vancouver, Canada Duration: Aug 12 2018 → Aug 16 2018

Publication series

Name	ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018

Conference

Conference	ACM SIGGRAPH 2018 Posters - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2018
Country/Territory	Canada
City	Vancouver
Period	08/12/18 → 08/16/18

Bibliographical note

Publisher Copyright:
© 2018 Copyright held by the owner/author(s).

Keywords

CMC surfaces
Elastic deformation
Support structures

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design
Software

Access to Document

10.1145/3230744.3230787

Cite this

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title = "Curved support structures and meshes with spherical vertex stars",

abstract = "The computation and construction of curved beams along freeform skins pose many challenges. We show how to use surfaces of constant mean curvature (CMC) to compute beam networks with beneficial properties, both aesthetically and from a fabrication perspective. To explore variations of such networks we introduce a new discretization of CMC surfaces as quadrilateral meshes with spherical vertex stars and right node angles. The computed non-CMC surface variations can be seen as a path in design space - exploring possible solutions in a neighborhood, or represent an actual erection sequence exploiting elastic material behavior.",

keywords = "CMC surfaces, Elastic deformation, Support structures",

author = "Martin Kilian and Hui Wang and Eike Schling and Jonas Schikore and Helmut Pottmann",

note = "Publisher Copyright: {\textcopyright} 2018 Copyright held by the owner/author(s).; ACM SIGGRAPH 2018 Posters - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2018 ; Conference date: 12-08-2018 Through 16-08-2018",

year = "2018",

month = aug,

day = "12",

doi = "10.1145/3230744.3230787",

language = "English (US)",

isbn = "9781450358170",

series = "ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018",

publisher = "Association for Computing Machinery, Inc",

booktitle = "ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018",

}

Kilian, M, Wang, H, Schling, E, Schikore, J & Pottmann, H 2018, Curved support structures and meshes with spherical vertex stars. in ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018., a53, ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018, Association for Computing Machinery, Inc, ACM SIGGRAPH 2018 Posters - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2018, Vancouver, Canada, 08/12/18. https://doi.org/10.1145/3230744.3230787

TY - GEN

T1 - Curved support structures and meshes with spherical vertex stars

AU - Kilian, Martin

AU - Wang, Hui

AU - Schling, Eike

AU - Schikore, Jonas

AU - Pottmann, Helmut

PY - 2018/8/12

Y1 - 2018/8/12

N2 - The computation and construction of curved beams along freeform skins pose many challenges. We show how to use surfaces of constant mean curvature (CMC) to compute beam networks with beneficial properties, both aesthetically and from a fabrication perspective. To explore variations of such networks we introduce a new discretization of CMC surfaces as quadrilateral meshes with spherical vertex stars and right node angles. The computed non-CMC surface variations can be seen as a path in design space - exploring possible solutions in a neighborhood, or represent an actual erection sequence exploiting elastic material behavior.

AB - The computation and construction of curved beams along freeform skins pose many challenges. We show how to use surfaces of constant mean curvature (CMC) to compute beam networks with beneficial properties, both aesthetically and from a fabrication perspective. To explore variations of such networks we introduce a new discretization of CMC surfaces as quadrilateral meshes with spherical vertex stars and right node angles. The computed non-CMC surface variations can be seen as a path in design space - exploring possible solutions in a neighborhood, or represent an actual erection sequence exploiting elastic material behavior.

KW - CMC surfaces

KW - Elastic deformation

KW - Support structures

UR - http://www.scopus.com/inward/record.url?scp=85054789921&partnerID=8YFLogxK

U2 - 10.1145/3230744.3230787

DO - 10.1145/3230744.3230787

M3 - Conference contribution

AN - SCOPUS:85054789921

SN - 9781450358170

T3 - ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018

BT - ACM SIGGRAPH 2018 Posters, SIGGRAPH 2018

PB - Association for Computing Machinery, Inc

T2 - ACM SIGGRAPH 2018 Posters - International Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 2018

Y2 - 12 August 2018 through 16 August 2018

ER -

Curved support structures and meshes with spherical vertex stars

Abstract

Publication series

Conference

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this