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» Unfolding Orthogonal Terrains
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64
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CORR
2007
Springer
101views Education» more  CORR 2007»
15 years 11 days ago
Unfolding Orthogonal Terrains
It is shown that every orthogonal terrain, i.e., an orthogonal (rightangled) polyhedron based on a rectangle that meets every vertical line in a segment, has a grid unfolding: its...
Joseph O'Rourke
87
Voted
CORR
2006
Springer
94views Education» more  CORR 2006»
15 years 13 days ago
Epsilon-Unfolding Orthogonal Polyhedra
Abstract. An unfolding of a polyhedron is produced by cutting the surface and flattening to a single, connected, planar piece without overlap (except possibly at boundary points). ...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke
98
Voted
COMGEO
2008
ACM
15 years 15 days ago
Unfolding Manhattan Towers
We provide an algorithm for unfolding the surface of any orthogonal polyhedron that falls into a particular shape class we call Manhattan Towers, to a nonoverlapping planar orthog...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke
115
Voted
JCDCG
2004
Springer
15 years 5 months ago
Grid Vertex-Unfolding Orthostacks
An algorithm was presented in [1] for unfolding orthostacks into one piece without overlap by using arbitrary cuts along the surface. It was conjectured that orthostacks could be ...
Erik D. Demaine, John Iacono, Stefan Langerman
81
Voted
DCG
2008
64views more  DCG 2008»
15 years 14 days ago
Grid Vertex-Unfolding Orthogonal Polyhedra
An edge-unfolding of a polyhedron is produced by cutting along edges and flattening the faces to a net, a connected planar piece with no overlaps. A grid unfolding allows addition...
Mirela Damian, Robin Y. Flatland, Joseph O'Rourke