Vertex-Unfoldings of Simplicial Manifolds

Details Vertex-Unfoldings of Simplicial Manifolds Vertex-Unfoldings of Simplicial Manifolds

2001-10-27

arxiv.org/abs/cs/0110054v1

Computer Science

Computational Geometry

12 pages, 7 figures, 10 references. Significant improvement of arXive cs.CG/0107023

Scientific paper

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 dimension.

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