CGAL 4.7 - 2D Regularized Boolean Set-Operations: Difference Functions

\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)

CGAL 4.7 - 2D Regularized Boolean Set-Operations

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Functions
Difference Functions
2D Regularized Boolean Set-Operations Reference

##

Each one of these functions computes the difference between two given polygons `p1` and `p2`, and inserts the resulting polygons with holes into an output container through the output iterator `oi`. The value type of the `OutputIterator` is either `Polygon_with_holes_2` or `General_polygon_with_holes_2`.

The signature of the function is

OutputIterator difference(const Type1 & p1, const Type2 & p2, OutputIterator oi);

Parameters

The types of the paramters of the `difference()` function are any of the following combinations.

Type1 | Type2
--- | ---
Polygon_2 | Polygon_2
Polygon_2 | Polygon_with_holes_2
Polygon_with_holes_2 | Polygon_2
Polygon_with_holes_2 | Polygon_with_holes_2
General_polygon_2 | General_polygon_2
General_polygon_2 | General_polygon_with_holes_2
General_polygon_with_holes_2 | General_polygon_2
General_polygon_with_holes_2 | General_polygon_with_holes_2

See Also
  `CGAL::do_intersect()`
  `CGAL::intersection()`
  `CGAL::join()`
  `CGAL::symmetric_difference()`

## Functions

template<class Kernel , class Container , class OutputIterator >
OutputIterator | CGAL::difference (const Polygon_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
| writes the difference of the polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Kernel , class Container , class OutputIterator >
OutputIterator | CGAL::difference (const Polygon_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
| writes the difference of the polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Kernel , class Container , class OutputIterator >
OutputIterator | CGAL::difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_2< Kernel, Container > &p2, OutputIterator oi)
| writes the difference of the polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Kernel , class Container , class OutputIterator >
OutputIterator | CGAL::difference (const Polygon_with_holes_2< Kernel, Container > &p1, const Polygon_with_holes_2< Kernel, Container > &p2, OutputIterator oi)
| writes the difference of the polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Traits , class OutputIterator >
OutputIterator | CGAL::difference (const General_polygon_2< Traits > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
| writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Traits , class OutputIterator >
OutputIterator | CGAL::difference (const General_polygon_with_holes_2< General_polygon_2< Traits > > &p1, const General_polygon_2< Traits > &p2, OutputIterator oi)
| writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Traits , class OutputIterator >
OutputIterator | CGAL::difference (const General_polygon_2< Traits > &p1, const General_polygon_with_holes_2< General_polygon_2< Traits > > &p2, OutputIterator oi)
| writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`. More...
template<class Polygon , class OutputIterator >
OutputIterator | CGAL::difference (const General_polygon_with_holes_2< Polygon > &p1, const General_polygon_with_holes_2< Polygon > &p2, OutputIterator oi)
| writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`. More...

## Function Documentation

template<class Kernel , class Container , class OutputIterator >

OutputIterator CGAL::difference | ( | const Polygon_2< Kernel, Container > & | p1,
|  | const Polygon_2< Kernel, Container > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `Polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Kernel , class Container , class OutputIterator >

OutputIterator CGAL::difference | ( | const Polygon_2< Kernel, Container > & | p1,
|  | const Polygon_with_holes_2< Kernel, Container > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `Polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Kernel , class Container , class OutputIterator >

OutputIterator CGAL::difference | ( | const Polygon_with_holes_2< Kernel, Container > & | p1,
|  | const Polygon_2< Kernel, Container > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `Polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Kernel , class Container , class OutputIterator >

OutputIterator CGAL::difference | ( | const Polygon_with_holes_2< Kernel, Container > & | p1,
|  | const Polygon_with_holes_2< Kernel, Container > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `Polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits , class OutputIterator >

OutputIterator CGAL::difference | ( | const General_polygon_2< Traits > & | p1,
|  | const General_polygon_2< Traits > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `General_polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits , class OutputIterator >

OutputIterator CGAL::difference | ( | const General_polygon_with_holes_2< General_polygon_2< Traits > > & | p1,
|  | const General_polygon_2< Traits > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `General_polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Traits , class OutputIterator >

OutputIterator CGAL::difference | ( | const General_polygon_2< Traits > & | p1,
|  | const General_polygon_with_holes_2< General_polygon_2< Traits > > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `General_polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`

template<class Polygon , class OutputIterator >

OutputIterator CGAL::difference | ( | const General_polygon_with_holes_2< Polygon > & | p1,
|  | const General_polygon_with_holes_2< Polygon > & | p2,
|  | OutputIterator | oi
| ) |  |

writes the difference of the general polygons `p1` and `p2` into the output iterator `oi`.

The value type of `oi` is `General_polygon_with_holes_2`.

`#include <CGAL/Boolean_set_operations_2.h>`