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Folded Paper Geometry from 2D Pattern and 3D Contour

Reference

Damien Rohmer, Marie-Paule Cani, Stefanie Hahmann, Boris Thibert.
Folded Paper Geometry from 2D Pattern and 3D Contour,
Eurographics (short paper).
April 2011. Llandudno, Wales.

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Abstract

Folded paper exhibits very characteristic shapes, due to the presence of sharp folds and to exact isometry with a given planar pattern. Therefore, none of the physically-based simulators developed so far can handle paper-like material.
We propose a purely geometric solution to generate static folded paper geometry from a 2D pattern and a 3D placement of its contour curve. Fold lines are explicitly identified and used to control a recursive, local subdivision process, leading to an efficient procedural modeling of the surface through a fold-aligned mesh. Contrary to previous work, our method generates paper-like surfaces with sharp creases while maintaining approximate isometry with the input pattern.