Paper by Erik D. Demaine
- Erik D. Demaine, David Eppstein, Jeff Erickson, George W. Hart, and Joseph O'Rourke, “Vertex-Unfolding of Simplicial Manifolds”, in Proceedings of the 18th Annual ACM Symposium on Computational Geometry (SoCG 2002), Barcelona, Spain, June 5–7, 2002, pages 237–243.
We present an algorithm to unfold any triangulated 2-manifold (in particular,
any simplicial polyhedron) into a non-overlapping, connected planar layout in
linear time. The manifold is cut only along its edges. The resulting layout
is connected, but it may have a disconnected interior; the triangles are
connected at vertices, but not necessarily joined along edges. We extend our
algorithm to establish a similar result for simplicial manifolds of arbitrary
- The paper is 7 pages.
- The paper is available in PostScript (751k), gzipped PostScript (256k), and PDF (176k).
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- Related papers:
- VertexUnfolding2 (Vertex-Unfoldings of Simplicial Manifolds)
See also other papers by Erik Demaine.
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