2008/12/12 by Jin‐ichi Itoh, Itoh, Jin-ichi, Joseph O’Rourke +3
Engineering · Mathematics · Physics and Astronomy · #Advanced Materials and Mechanics #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #Mathematics and Applications #Scientific Research and Discoveries
paper · pdf · doi:10.48550/arxiv.0812.2257
openalex publication_date 2008/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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.