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DCG
2010
75views more  DCG 2010»
13 years 11 months ago
Star Unfolding Convex Polyhedra via Quasigeodesic Loops
We extend the notion of star unfolding to be based on a quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron ...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
CORR
2007
Springer
100views Education» more  CORR 2007»
13 years 11 months ago
Unfolding Convex Polyhedra via Quasigeodesics
We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds th...
Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu