Paper by Erik D. Demaine

Reference:

Erik D. Demaine and Jason Ku, “Filling a Hole in a Crease Pattern: Isometric Mapping of a Polygon given a Folding of its Boundary”, in Origami⁶: Proceedings of the 6th International Meeting on Origami in Science, Mathematics and Education (OSME 2014), Tokyo, Japan, August 10–13, 2014, pages 177–188, American Mathematical Society.

Comments:

Oriole is a webapp implementing this algorithm.

Availability:

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HoleFilling_OSME2014 (Filling a Hole in a Crease Pattern: Isometric Mapping of a Polygon given a Folding of its Boundary)