Michael Seel

A Nef polygon is any set that can be obtained from a finite set of open halfspaces by set complement and set intersection operations. Due to the fact that all other binary set operations like union, difference and symmetric difference can be reduced to intersection and complement calculations, Nef polygons are also closed under those operations. Apart from the set complement operation there are more topological unary set operations that are closed in the domain of Nef polygons interior, boundary, and closure.

Introduced in: CGAL 2.3
BibTeX: cgal:s-bonp2-15a
License: GPL
Windows Demo: 2D Nef Polygons
Common Demo Dlls: dlls

Classified Reference Pages

Concepts

ExtendedKernelTraits_2

Classes

Modules
	Concepts

Classes
class	CGAL::Extended_cartesian< FT >
	The class `Extended_cartesian` serves as a traits class for the class `Nef_polyhedron_2<T>`. More...

class	CGAL::Extended_homogeneous< RT >
	The class `Extended_homogeneous` serves as a traits class for the class `Nef_polyhedron_2<T>`. More...

class	CGAL::Filtered_extended_homogeneous< RT >
	The class `Filtered_extended_homogeneous` serves as a traits class for the class `Nef_polyhedron_2<T>`. More...

class	CGAL::Nef_polyhedron_2< T >
	An instance of data type `Nef_polyhedron_2<T>` is a subset of the plane that is the result of forming complements and intersections starting from a finite set `H` of halfspaces. More...

class	CGAL::Nef_polyhedron_2< T >::Topological_explorer
	An instance `D` of the data type `Topological_explorer` is a decorator for interfacing the topological structure of a plane map `P` (read-only). More...

class	CGAL::Nef_polyhedron_2< T >::Explorer
	a decorator to examine the underlying plane map. More...

Classified Reference Pages

Concepts

Classes

Modules

Classes