An extension of CGAL to the oriented projective plane T2 and its dynamic visualization system

摘要

The oriented projective plane T² is an extension of the Euclidean plane E² and comprises a number of advantages for algorithm design and implementation. We have extended the Computational Geometry Algorithms Library (CGAL) to allow for the implementation of geometric primitives and algorithms. The present video illustrates both the extension of a few algorithms to T² under CGAL and a dynamic visualization system (T² Viewer)built specially for displaying the spherical and planar models of T².