Curved folding

Martin Kilian; Simon Flöry; Zhonggui Chen; Niloy J. Mitra; Alla Sheffer; Helmut Pottmann

doi:10.1145/1360612.1360674

Curved folding

Martin Kilian^*, Simon Flöry, Zhonggui Chen, Niloy J. Mitra, Alla Sheffer, Helmut Pottmann

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

169 Scopus citations

Abstract

Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.

Original language	English (US)
Article number	75
Journal	ACM transactions on graphics
Volume	27
Issue number	3
DOIs	https://doi.org/10.1145/1360612.1360674
State	Published - Aug 1 2008
Externally published	Yes

Keywords

Architectural geometry
Computational differential geometry
Computational origami
Curved fold
Developable surface
Digital reconstruction
Folding
Industrial design
Isometry

ASJC Scopus subject areas

Computer Graphics and Computer-Aided Design

Access to Document

10.1145/1360612.1360674

Cite this

@article{20c702af30a04646929ba1df5bba0898,

title = "Curved folding",

abstract = "Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.",

keywords = "Architectural geometry, Computational differential geometry, Computational origami, Curved fold, Developable surface, Digital reconstruction, Folding, Industrial design, Isometry",

author = "Martin Kilian and Simon Fl{\"o}ry and Zhonggui Chen and Mitra, {Niloy J.} and Alla Sheffer and Helmut Pottmann",

year = "2008",

month = aug,

day = "1",

doi = "10.1145/1360612.1360674",

language = "English (US)",

volume = "27",

journal = "ACM transactions on graphics",

issn = "0730-0301",

publisher = "Association for Computing Machinery",

number = "3",

}

TY - JOUR

T1 - Curved folding

AU - Kilian, Martin

AU - Flöry, Simon

AU - Chen, Zhonggui

AU - Mitra, Niloy J.

AU - Sheffer, Alla

AU - Pottmann, Helmut

PY - 2008/8/1

Y1 - 2008/8/1

N2 - Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.

AB - Fascinating and elegant shapes may be folded from a single planar sheet of material without stretching, tearing or cutting, if one incorporates curved folds into the design. We present an optimization-based computational framework for design and digital reconstruction of surfaces which can be produced by curved folding. Our work not only contributes to applications in architecture and industrial design, but it also provides a new way to study the complex and largely unexplored phenomena arising in curved folding.

KW - Architectural geometry

KW - Computational differential geometry

KW - Computational origami

KW - Curved fold

KW - Developable surface

KW - Digital reconstruction

KW - Folding

KW - Industrial design

KW - Isometry

UR - http://www.scopus.com/inward/record.url?scp=49249132517&partnerID=8YFLogxK

U2 - 10.1145/1360612.1360674

DO - 10.1145/1360612.1360674

M3 - Article

AN - SCOPUS:49249132517

SN - 0730-0301

VL - 27

JO - ACM transactions on graphics

JF - ACM transactions on graphics

IS - 3

M1 - 75

ER -

Curved folding

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this