Freeform architecture and discrete differential geometry

Helmut Pottmann; Johannes Wallner

doi:10.1007/978-3-319-66272-5_1

Freeform architecture and discrete differential geometry

Helmut Pottmann^*, Johannes Wallner

^*Corresponding author for this work

Computer, Electrical and Mathematical Sciences and Engineering

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

2 Scopus citations

Abstract

Freeform structures play an important role within contemporary architecture. While there is a wealth of excellent tools for the digital design of free-form geometry, the actual fabrication on the architectural scale is a big challenge. Key issues in this context are free-form surfaces composed of panels which can be manufactured at reasonable cost, and the geometry and statics of the support structure. The present article is an extended abstract of a talk on the close relation between geometric computing for free-form architecture and discrete differential geometry. It addresses topics such as skins from planar, in particular quadrilateral panels, geometry and statics of supporting structures, structures in force equilibrium.

Original language	English (US)
Title of host publication	Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings
Editors	Walter G. Kropatsch, Nicole M. Artner, Ines Janusch
Publisher	Springer Verlag
Pages	3-8
Number of pages	6
ISBN (Print)	9783319662718
DOIs	https://doi.org/10.1007/978-3-319-66272-5_1
State	Published - 2017
Event	20th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2017 - Vienna, Austria Duration: Sep 19 2017 → Sep 21 2017

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	10502 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	20th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2017
Country/Territory	Austria
City	Vienna
Period	09/19/17 → 09/21/17

Bibliographical note

Publisher Copyright:
© 2017, Springer International Publishing AG.

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Access to Document

10.1007/978-3-319-66272-5_1

Cite this

Pottmann, H., & Wallner, J. (2017). Freeform architecture and discrete differential geometry. In W. G. Kropatsch, N. M. Artner, & I. Janusch (Eds.), Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings (pp. 3-8). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10502 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-66272-5_1

Pottmann, Helmut ; Wallner, Johannes. / Freeform architecture and discrete differential geometry. Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings. editor / Walter G. Kropatsch ; Nicole M. Artner ; Ines Janusch. Springer Verlag, 2017. pp. 3-8 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "Freeform structures play an important role within contemporary architecture. While there is a wealth of excellent tools for the digital design of free-form geometry, the actual fabrication on the architectural scale is a big challenge. Key issues in this context are free-form surfaces composed of panels which can be manufactured at reasonable cost, and the geometry and statics of the support structure. The present article is an extended abstract of a talk on the close relation between geometric computing for free-form architecture and discrete differential geometry. It addresses topics such as skins from planar, in particular quadrilateral panels, geometry and statics of supporting structures, structures in force equilibrium.",

author = "Helmut Pottmann and Johannes Wallner",

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Pottmann, H & Wallner, J 2017, Freeform architecture and discrete differential geometry. in WG Kropatsch, NM Artner & I Janusch (eds), Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 10502 LNCS, Springer Verlag, pp. 3-8, 20th IAPR International Conference on Discrete Geometry for Computer Imagery, DGCI 2017, Vienna, Austria, 09/19/17. https://doi.org/10.1007/978-3-319-66272-5_1

Freeform architecture and discrete differential geometry. / Pottmann, Helmut; Wallner, Johannes.
Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings. ed. / Walter G. Kropatsch; Nicole M. Artner; Ines Janusch. Springer Verlag, 2017. p. 3-8 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10502 LNCS).

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

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Pottmann H, Wallner J. Freeform architecture and discrete differential geometry. In Kropatsch WG, Artner NM, Janusch I, editors, Discrete Geometry for Computer Imagery - 20th IAPR International Conference, DGCI 2017, Proceedings. Springer Verlag. 2017. p. 3-8. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-319-66272-5_1

Freeform architecture and discrete differential geometry

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Access to Document

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