Given a triangulation of a simple polygon P, we present linear-time algorithms for solving a collection of problems concerning shortest paths and visibility within P. These problems include calculation of the collection of all shortest paths inside P from a given source vertex S to all the other vertices of P, calculation of the subpolygon of P consisting of points that are visible from a given segment within P, preprocessing P for fast "ray shooting" queries, and several related problems.
All Science Journal Classification (ASJC) codes
- Computer Science(all)
- Computer Science Applications
- Applied Mathematics