Title
Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings
Abstract
We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.
Year
Venue
Keywords
2008
Clinical Orthopaedics and Related Research
shortest path,computational geometry
Field
DocType
Volume
Discrete mathematics,Combinatorics,Polygon,Vertex (geometry),Polyhedron,Regular polygon,Convex polytope,Planar,Mathematics,A* search algorithm
Journal
abs/0812.2
Citations 
PageRank 
References 
1
0.37
4
Authors
3
Name
Order
Citations
PageRank
Jin-ichi Itoh14710.17
Joseph O'Rourke21636439.71
Costin Vîlcu3204.68