CCCG 2017 - 29th Canadian Conference on Computational Geometry, Proceedings
We reprove a result of Dehkordi, Frati, and Gudmundsson: every two vertices in a non-obtuse triangulation of a point set are connected by an angle-monotone path-an xy-monotone path in an appropriately rotated coordinate system. We show that this result cannot be extended to angle-monotone spanning trees, but can be extended to boundary-rooted spanning forests. The latter leads to a conjectural edge-unfolding of sufficiently shallow polyhedral convex caps.
© the authors
Lubiw, Anna and O'Rourke, Joseph, "Angle-Monotone Paths in Non-Obtuse Triangulations" (2017). Computer Science: Faculty Publications, Smith College, Northampton, MA.