\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11 - 2D Regularized Boolean Set-Operations
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Concepts
2D Regularized Boolean Set-Operations Reference

Concepts

conceptArrangementDirectionalXMonotoneTraits_2
 This concept refines the basic arrangement \( x\)-monotone traits concept. A model of this concept is able to handle directed \( x\)-monotone curves that intersect in their interior. Namely, an instance of the X_monotone_curve_2 type defined by a model of the concept ArrangementXMonotoneTraits_2 is only required to have a left (lexicographically smaller) endpoint and a right endpoint. If the traits class is also a model of ArrangementDirectionalXMonotoneTraits_2, the \( x\)-monotone curve is also required to have a direction, namely one of these two endpoint serves as its source and the other as its target. More...
 
conceptArrDirectionalTraits::AreMergeable_2
 
conceptArrDirectionalTraits::CompareEndpointsXy_2
 
conceptArrDirectionalTraits::ConstructOpposite_2
 
conceptArrDirectionalTraits::Intersect_2
 
conceptArrDirectionalTraits::Merge_2
 
conceptArrDirectionalTraits::Split_2
 
conceptGeneralPolygon_2
 
conceptGeneralPolygonSetDcel
 A doubly-connected edge-list (Dcel for short) data-structure. It consists of three containers of records: vertices \( V\), halfedges \( E\), and faces \( F\). It maintains the incidence relation among them. The halfedges are ordered in pairs sometimes referred to as twins, such that each halfedge pair represent an edge. More...
 
conceptGeneralPolygonSetDcelFace
 A face record in a Dcel data structure used by the General_polygon_set_2 and Polygon_set_2 template classes to represent the underlying internal Arrangement_2 data structure. More...
 
conceptGeneralPolygonSetDcelHalfedge
 A halfedge record in a Dcel data structure used by the General_polygon_set_2 and Polygon_set_2 template classes to represent the underlying internal Arrangement_2 data structure. More...
 
conceptGeneralPolygonSetTraits_2
 This concept defines the minimal set of geometric predicates needed to perform the Boolean-set operations. It refines the directional \( x\)-monotone arrangement-traits concept. In addition to the Point_2 and X_monotone_curve_2 types defined in the generalized concept, it defines a type that represents a general polygon and another one that represents general polygon with holes. It also requires operations that operate on these types. More...
 
conceptGpsTraitsGeneralPolygon_2
 A model of this concept represents a simple general polygon. More...
 
conceptGpsTraitsGeneralPolygonWithHoles_2
 A model of this concept represents a general polygon with holes. More...