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小百科  ›  CGAL 6.0 - 2D Regularized Boolean Set-Operations: Difference Functions
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苦恼的小蝌蚪
1 月前

There are several overloaded function templates called difference() that compute the difference between two polygons and insert the resulting polygons with holes into a container via an output iterator.

A function template in this group has one of the two following signatures:

Template Parameters
  • The types Type1 and Type2 of the parameters must be convertible to the types specified in a row in the table below, respectively. The 3rd column specifies the corresponding dereference type of the output iterator.
  • The types that apply to signature ( 1.1. ) above are restricted to those listed in rows 1–4 in the table below.
  • The types that apply to signature ( 1.2. ) above are restricted to those listed in rows 5–8 in the table below.
    • Parameters
    See also
    CGAL::complement()
    CGAL::do_intersect() CGAL::intersection() CGAL::join() CGAL::symmetric_difference()
    Functions

    Function Documentation

    ◆ difference() [1/20]

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    ArrTraits must be a model of the concept ArrangementDirectionalXMonotoneTraits_2 .
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons with holes and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Template Parameters
    Parameters
    Returns
    the past-the-end iterator of the output container.

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Template Parameters
    Parameters
    Returns
    the past-the-end iterator of the output container.

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Template Parameters
    Parameters
    Returns
    the past-the-end iterator of the output container.

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons with holes and inserts the resulting polygons with holes into a container via an output iterator.

    Parameters
    Returns
    the past-the-end iterator of the output container.
    Precondition
    GpsTraits must be a model of GeneralPolygonSetTraits_2 .
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >

    #include <CGAL/Boolean_set_operations_2.h>

    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.

    Template Parameters
    Parameters
    Returns
    the past-the-end iterator of the output container.
    1.1. OutputIterator difference(const Type1& pgn1, const Type2& pgn2, OutputIterator oi, UsePolylines = Tag_true() );
    1.2. OutputIterator difference(const Type1& pgn1, const Type2& pgn2, OutputIterator oi);
    2. OutputIterator difference(const Type1& pgn1, const Type2& pgn2, OutputIterator oi, const GpsTraits& traits);
    UsePolylines determines whether the boundaries of the input polygons are treated as cyclic sequences of single ( \(x\)-monotone) segments or as cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true , which is the default, the input polygons are converted to general polygons bounded by polylines before the operation is actually performed. Then, the resulting general polygons with holes are converted back to standard polygons. If substituted with CGAL::Tag_false , the input polygons are used as is. Refer to Traits Selection for more information.
    Type1 Type2 Dereference Type of oi
    1 Polygon_2 Polygon_2 Polygon_with_holes_2
    2 Polygon_2 Polygon_with_holes_2 Polygon_with_holes_2
    3 Polygon_with_holes_2 Polygon_2 Polygon_with_holes_2
    4 Polygon_with_holes_2 Polygon_with_holes_2 Polygon_with_holes_2
    5 General_polygon_2 General_polygon_2 General_polygon_with_holes_2
    6 General_polygon_2 General_polygon_with_holes_2 General_polygon_with_holes_2
    7 General_polygon_with_holes_2 General_polygon_2 General_polygon_with_holes_2
    8 General_polygon_with_holes_2 General_polygon_with_holes_2 General_polygon_with_holes_2
    pgn1,pgn2 the input polygons.
    oi the output iterator for the result.
    traits an optional traits object.
    template<typename Kernel , typename Container , typename OutputIterator >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi, UsePolylines= Tag_true ())
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi, UsePolylines= Tag_true ())
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi, UsePolylines= Tag_true ())
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename UsePolylines >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi, UsePolylines= Tag_true ())
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator >
    OutputIterator CGAL::difference (const General_polygon_2 < ArrTraits > &pgn1, const General_polygon_2 < ArrTraits > &pgn2, OutputIterator oi)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator >
    OutputIterator CGAL::difference (const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > &pgn1, const General_polygon_2 < ArrTraits > &pgn2, OutputIterator oi)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator >
    OutputIterator CGAL::difference (const General_polygon_2 < ArrTraits > &pgn1, const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > &pgn2, OutputIterator oi)
    computes the difference of two polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename Polygon , typename OutputIterator >
    OutputIterator CGAL::difference (const General_polygon_with_holes_2 < Polygon > &pgn1, const General_polygon_with_holes_2 < Polygon > &pgn2, OutputIterator oi)
    computes the difference of two general polygons with holes and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const Polygon_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_2 < Kernel , Container > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two polygons and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename Kernel , typename Container , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const Polygon_with_holes_2 < Kernel , Container > &pgn1, const Polygon_with_holes_2 < Kernel , Container > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two polygons with holes and inserts the resulting polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const General_polygon_2 < ArrTraits > &pgn1, const General_polygon_2 < ArrTraits > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > &pgn1, const General_polygon_2 < ArrTraits > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename ArrTraits , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const General_polygon_2 < ArrTraits > &pgn1, const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    template<typename Polygon , typename OutputIterator , typename GpsTraits >
    OutputIterator CGAL::difference (const General_polygon_with_holes_2 < Polygon > &pgn1, const General_polygon_with_holes_2 < Polygon > &pgn2, OutputIterator oi, const GpsTraits &traits)
    computes the difference of two general polygons and inserts the resulting general polygons with holes into a container via an output iterator.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    traits a traits object.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    traits a traits object.
    OutputIterator CGAL::difference const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    OutputIterator CGAL::difference const General_polygon_with_holes_2 < General_polygon_2 < ArrTraits > > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 < General_polygon_2 < ArrTraits >> .
    traits a traits object.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 <Polygon> .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to General_polygon_with_holes_2 <Polygon> .
    traits a traits object.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    OutputIterator CGAL::difference const Polygon_2 < Kernel , Container > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    traits a traits object.
    OutputIterator CGAL::difference const Polygon_2 < Kernel , Container > & pgn1 ,
    UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true , which is the default, pgn1 and pgn2 are converted to a general polygons bounded by polylines before the operation is actually performed. Then, the resulting general polygons with holes are converted back to standard polygons with holes. If substituted with CGAL::Tag_false , pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    OutputIterator CGAL::difference const Polygon_2 < Kernel , Container > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    traits a traits object.
    OutputIterator CGAL::difference const Polygon_2 < Kernel , Container > & pgn1 ,
    UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true , which is the default, pgn1 and pgn2 are converted to a general polygon and a general polygon with holes, respectively, bounded by polylines before the operation is actually performed. Then, the resulting general polygons with holes are converted back to standard polygons with holes. If substituted with CGAL::Tag_false , pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    OutputIterator CGAL::difference const Polygon_with_holes_2 < Kernel , Container > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    traits a traits object.
    OutputIterator CGAL::difference const Polygon_with_holes_2 < Kernel , Container > & pgn1 ,
    UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true , which is the default, pgn1 and pgn2 are converted to a general polygon with holes and a general polygon, respectively, bounded by polylines before the operation is actually performed. Then, the resulting general polygons with holes are converted back to standard polygons with holes. If substituted with CGAL::Tag_false , pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    OutputIterator CGAL::difference const Polygon_with_holes_2 < Kernel , Container > & pgn1 ,
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
    traits a traits object.
    OutputIterator CGAL::difference const Polygon_with_holes_2 < Kernel , Container > & pgn1 ,
    UsePolylines determines whether the boundaries of pgn1 and pgn2 are treated as cyclic sequences of single ( \(x\)-monotone) segments or as a cyclic sequences of ( \(x\)-monotone) polylines. If substituted with CGAL::Tag_true , which is the default, pgn1 and pgn2 are converted to general polygons with holes, bounded by polylines before the operation is actually performed. Then, the resulting general polygons with holes are converted back to standard polygons with holes. If substituted with CGAL::Tag_false , pgn1 and pgn2 are used as is. Refer to Traits Selection for more information.
    pgn1 the 1st input polygon.
    pgn2 the 2nd input polygon.
    oi the output iterator for the result. Its dereference type must be convertibe to Polygon_with_holes_2 < Kernel , Container > .
     
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