Techniques to automatically generate a navigation graph for a given environment and agent are disclosed. The environment may include an arbitrary number of polygonal obstacles arbitrarily arranged, concave or convex, static or dynamic. The disclosed operation extrudes (in a specified manner) the vertex of each obstacle. The extruded vertices comprise the navigation graph's nodes. Each object's extruded vertices may be joined to form a corresponding extruded object. Paths may then be identified by attempting to connect every extruded vertex with every other extruded vertex. Those paths intersecting any of the extruded objects are rejected as possible paths. In some embodiments, paths that are oriented in approximately the same direction having approximately the same length may be removed as being redundant.