Curved folding

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 optimizationbased 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. CR Categories: I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Geometric algorithms, languages, and systems; I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Curve, surface, solid, and object representations

• Type: Journal
• Year: 2008
• Where: TOG
• Authors: Martin Kilian, Simon Flöry, Zhonggui Chen, Niloy J. Mitra, Alla Sheffer, Helmut Pottmann
• Keywords: Computational Geometry, Optimizationbased Computational Framework, Single Planar Sheet, TOG 2008