A Generalization of the Source Unfolding of Convex Polyhedra
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Demaine_A generalization.pdf
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Author(s) •
Demaine, Erik D.
Lubiw, Anna
Date Issued
2012
Journal
Computational Geometry
Publisher
Springer-Verlag
Citation
Demaine, Erik D., and Anna Lubiw. “A Generalization of the Source Unfolding of Convex Polyhedra.” Lecture Notes in Computer Science (2012): 185–199.
Version
Author's final manuscript
Abstract
We present a new method for unfolding a convex polyhedron into one piece without overlap, based on shortest paths to a convex curve on the polyhedron. Our “sun unfoldings” encompass source unfolding from a point, source unfolding from an open geodesic curve, and a variant of a recent method of Itoh, O’Rourke, and Vîlcu.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1007/978-3-642-34191-5_18