Curved folding

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

163 Scopus citations


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 languageEnglish (US)
Article number75
JournalACM transactions on graphics
Issue number3
StatePublished - Aug 1 2008
Externally publishedYes


  • 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


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