Abstract
Can a simple spherical polygon always be triangulated? The answer depends on the definitions of "polygon" and "triangulate". Define a spherical polygon to be a simple, closed curve on a sphere S composed of a finite number of great circle arcs (also known as geodesic arcs) meeting at vertices. Can every spherical polygon be triangulated? Figure 1 shows an example of what is intended. 1 The planar analog is well-known and a cornerstone of computational geometry: the interior of every planar simple polygon can be triangulated (and efficiently so). The situation for spherical polygons is not so straightforward. There are three complications.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
