Functions to corefine triangulated surface meshes and compute triangulated surface meshes of the union, difference and intersection of the bounded volumes.

Classes
struct	CGAL::Polygon_mesh_processing::Corefinement::Default_visitor< TriangleMesh >

Enumerations
enum	CGAL::Polygon_mesh_processing::Corefinement::Boolean_operation_type { UNION = 0, INTERSECTION =1, TM1_MINUS_TM2 =2, TM2_MINUS_TM1 =3, NONE }

Functions
template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >
bool	CGAL::Polygon_mesh_processing::clip (TriangleMesh &tm, TriangleMesh &clipper, const NamedParameters1 &np_tm, const NamedParameters2 &np_c)

template<class TriangleMesh , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::clip (TriangleMesh &tm, const Plane_3 &plane, const NamedParameters &np)

template<class TriangleMesh , class NamedParameters >
bool	CGAL::Polygon_mesh_processing::clip (TriangleMesh &tm, const Iso_cuboid_3 &iso_cuboid, const NamedParameters &np)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >
void	CGAL::Polygon_mesh_processing::split (TriangleMesh &tm, TriangleMesh &splitter, const NamedParameters1 &np_tm, const NamedParameters2 &np_s)

template<class TriangleMesh , class NamedParameters >
void	CGAL::Polygon_mesh_processing::split (TriangleMesh &tm, const Plane_3 &plane, const NamedParameters &np)

template<class TriangleMesh , class NamedParameters >
void	CGAL::Polygon_mesh_processing::split (TriangleMesh &tm, const Iso_cuboid_3 &iso_cuboid, const NamedParameters &np)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut0 , class NamedParametersOut1 , class NamedParametersOut2 , class NamedParametersOut3 >
std::array< bool, 4 >	CGAL::Polygon_mesh_processing::corefine_and_compute_boolean_operations (TriangleMesh &tm1, TriangleMesh &tm2, const std::array< boost::optional< TriangleMesh * >, 4 > &output, const NamedParameters1 &np1, const NamedParameters2 &np2, const std::tuple< NamedParametersOut0, NamedParametersOut1, NamedParametersOut2, NamedParametersOut3 > &nps_out)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >
bool	CGAL::Polygon_mesh_processing::corefine_and_compute_union (TriangleMesh &tm1, TriangleMesh &tm2, TriangleMesh &tm_out, const NamedParameters1 &np1, const NamedParameters2 &np2, const NamedParametersOut &np_out)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >
bool	CGAL::Polygon_mesh_processing::corefine_and_compute_intersection (TriangleMesh &tm1, TriangleMesh &tm2, TriangleMesh &tm_out, const NamedParameters1 &np1, const NamedParameters2 &np2, const NamedParametersOut &np_out)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >
bool	CGAL::Polygon_mesh_processing::corefine_and_compute_difference (TriangleMesh &tm1, TriangleMesh &tm2, TriangleMesh &tm_out, const NamedParameters1 &np1, const NamedParameters2 &np2, const NamedParametersOut &np_out)

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >
void	CGAL::Polygon_mesh_processing::corefine (TriangleMesh &tm1, TriangleMesh &tm2, const NamedParameters1 &np1, const NamedParameters2 &np2)

template<class OutputIterator , class TriangleMesh , class NamedParameters1 , class NamedParameters2 >
OutputIterator	CGAL::Polygon_mesh_processing::surface_intersection (const TriangleMesh &tm1, const TriangleMesh &tm2, OutputIterator polyline_output, const NamedParameters1 &np1, const NamedParameters2 &np2)

Enumeration Type Documentation

◆ Boolean_operation_type

enum CGAL::Polygon_mesh_processing::Corefinement::Boolean_operation_type

#include <CGAL/Polygon_mesh_processing/corefinement.h>

Integer identifiers to refer to a particular Boolean operation in the function corefine_and_compute_boolean_operations().

Function Documentation

◆ clip() [1/3]

template<class TriangleMesh , class NamedParameters >

bool CGAL::Polygon_mesh_processing::clip	(	TriangleMesh &	tm,
		const Iso_cuboid_3 &	iso_cuboid,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

clips tm by keeping the part that is inside iso_cuboid. If tm is closed, the clipped part can be closed too if the named parameter clip_volume is set to true. See Subsection Clipping for more details.

Note: In the current implementation it is not possible to set the vertex point map and the default will be used. Iso_cuboid_3 must be from the same Kernel as the point of the vertex point map.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`. An internal property map for `CGAL::vertex_point_t` must be available.
NamedParameters	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
iso_cuboid	iso-cuboid used to clip `tm`.
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `iso_cuboid` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found.
clip_volume	if `true` and `tm` is closed, the clipping will be done on the volume bounded by `tm` rather than on its surface (i.e., `tm` will be kept closed).
use_compact_clipper	if `false` and `clip_volume` is `false` and `tm` is open, the parts of `tm` coplanar with `is_cuboid` will not be part of the output.

Returns: true if the output surface mesh is manifold. If false is returned tm is only refined by the intersection with iso_cuboid.

◆ clip() [2/3]

template<class TriangleMesh , class NamedParameters >

bool CGAL::Polygon_mesh_processing::clip	(	TriangleMesh &	tm,
		const Plane_3 &	plane,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

clips tm by keeping the part that is on the negative side of plane (side opposite to its normal vector). If tm is closed, the clipped part can be closed too if the named parameter clip_volume is set to true. See Subsection Clipping for more details.

Note: In the current implementation it is not possible to set the vertex point map and the default will be used. Plane_3 must be from the same Kernel as the point of the vertex point map.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`. An internal property map for `CGAL::vertex_point_t` must be available.
NamedParameters	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
plane	plane whose negative side defines the half-space to intersect `tm` with. `Plane_3` is the plane type for the same CGAL kernel as the point of the vertex point map of `tm`.
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `plane` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found. Default value is `false`.
clip_volume	if `true` and `tm` is closed, the clipping will be done on the volume bounded by `tm` rather than on its surface (i.e., `tm` will be kept closed). Default value is `false`.
use_compact_clipper	if `false` the parts of `tm` coplanar with `plane` will not be part of the output. Default value is `true`.

Returns: true if the output surface mesh is manifold. If false is returned tm is only refined by the intersection with plane.

◆ clip() [3/3]

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >

bool CGAL::Polygon_mesh_processing::clip	(	TriangleMesh &	tm,
		TriangleMesh &	clipper,
		const NamedParameters1 &	np_tm,
		const NamedParameters2 &	np_c
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

clips tm by keeping the part that is inside the volume bounded by clipper. If tm is closed, the clipped part can be closed too if the named parameter clip_volume is set to true. See Subsection Clipping for more details.

Attention: With the current implementation, clipper will be modified (refined with the intersection with tm).

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm); !CGAL::Polygon_mesh_processing::does_self_intersect(clipper); CGAL::Polygon_mesh_processing::does_bound_a_volume(clipper)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`.
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
clipper	triangulated surface mesh used to clip `tm`
np_tm	optional sequence of Named Parameters among the ones listed below
np_c	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm` (`clipper`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
face_index_map	a property map containing a unique index for each face of `tm` (`clipper`).
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `clipper` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found. Default value is `false`.
clip_volume	if `true` and `tm` is closed, the clipping will be done on the volume bounded by `tm` rather than on its surface (i.e., `tm` will be kept closed). Default value is `false`.
use_compact_clipper	if `false`, the parts of `tm` coplanar with `clipper` will not be part of the output. Default value is `true`.

Returns: true if the output surface mesh is manifold. If false is returned tm and clipper are only corefined.

◆ corefine()

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >

void CGAL::Polygon_mesh_processing::corefine	(	TriangleMesh &	tm1,
		TriangleMesh &	tm2,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2
	)

#include <CGAL/Polygon_mesh_processing/corefinement.h>

corefines tm1 and tm2. For each input triangulated surface mesh, if a constrained edge is provided, intersection edges will be marked as constrained. If an edge that was marked as constrained is split, its sub-edges will be marked as constrained as well.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm1` (`tm2`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm1` (`tm2`)
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces (`np1` only)
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

◆ corefine_and_compute_boolean_operations()

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut0 , class NamedParametersOut1 , class NamedParametersOut2 , class NamedParametersOut3 >

std::array<bool,4> CGAL::Polygon_mesh_processing::corefine_and_compute_boolean_operations	(	TriangleMesh &	tm1,
		TriangleMesh &	tm2,
		const std::array< boost::optional< TriangleMesh * >, 4 > &	output,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2,
		const std::tuple< NamedParametersOut0, NamedParametersOut1, NamedParametersOut2, NamedParametersOut3 > &	nps_out
	)

#include <CGAL/Polygon_mesh_processing/corefinement.h>

corefines tm1 and tm2 and for each triangle mesh tm_out passed as an optional in output different from boost::none, the triangulated surface mesh bounding the result of a particular Boolean operation between the volumes bounded by tm1 and tm2 will be put in the corresponding triangle mesh. The positions of the meshes in the array output are specific to the Boolean operation to compute and Corefinement::Boolean_operation_type encodes and describes the ordering. Constructing the default array means that no Boolean operation will be done. Overwriting a default value will trigger the corresponding operation. In such a case, the address to a valid surface mesh must be provided. The optional named parameters for all output meshes are provided as a tuple and follow the same order as the array output. A call to corefine_and_compute_boolean_operations() with optional named parameters passed for output meshes should be done using make_tuple() as the types of named parameters are unspecified.

If tm1 and/or tm2 are part of the output surface meshes, they will be updated to contain the output (in-place operation), in any other case, the corresponding result will be inserted into the mesh without clearing it first.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm1); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters
NamedParametersOut0	a sequence of Named Parameters for computing the union of the volumes bounded by `tm1` and `tm2`
NamedParametersOut1	a sequence of Named Parameters for computing the intersection of the volumes bounded by `tm1` and `tm2`
NamedParametersOut2	a sequence of Named Parameters for computing the difference of the volumes bounded by `tm1` and `tm2`
NamedParametersOut3	a sequence of Named Parameters for computing the difference of the volumes bounded by `tm2` and `tm1`

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
output	an array of output surface meshes
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm1` (`tm2`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` should be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm1` (`tm2`).
face_index_map	a property map containing the index of each face of `tm1` (`tm2`). Note that if the property map is writable, the indices of the faces of `tm1` and `tm2` will be set after the corefinement is done.
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces (`np1` only)
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

Parameters

nps_out tuple of optional sequences of Named Parameters each among the ones listed below (tm_out being used to refer to the output surface mesh in output corresponding to a given named parameter sequence)

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm_out`. If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm_out`. An edge of `tm_out` is constrained if it is on the intersection of `tm1` and `tm2`, or if the edge corresponds to a constrained edge in `tm1` or `tm2`.

Returns: an array filled as follows: for each operation computed, the position in the array will contain true iff the output surface mesh is manifold, and it is put in the surface mesh at the same position as in output. Note that if an output surface mesh also was an input mesh but the output operation was generating a non-manifold mesh, the surface mesh will only be corefined.

Examples: Polygon_mesh_processing/corefinement_mesh_union_and_intersection.cpp.

◆ corefine_and_compute_difference()

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >

bool CGAL::Polygon_mesh_processing::corefine_and_compute_difference	(	TriangleMesh &	tm1,
		TriangleMesh &	tm2,
		TriangleMesh &	tm_out,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2,
		const NamedParametersOut &	np_out
	)

#include <CGAL/Polygon_mesh_processing/corefinement.h>

corefines tm1 and tm2 and puts in tm_out a triangulated surface mesh bounding the volume bounded by tm1 minus the volume bounded by tm2. corefines tm1 and tm2 and puts in tm_out a triangulated surface mesh bounding the union of the volumes bounded by tm1 and tm2. If tm_out is one of the input surface meshes, it will be updated to contain the output (in-place operation), otherwise the result will be inserted into tm_out without clearing it first.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm1); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters
NamedParametersOut	a sequence of Named Parameters

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
tm_out	output surface mesh
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm1` (`tm2`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm1` (`tm2`).
face_index_map	a property map containing the index of each face of `tm1` (`tm2`). Note that if the property map is writable, the indices of the faces of `tm1` and `tm2` will be set after the corefinement is done.
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces (`np1` only)
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

Parameters

np_out optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm_out`. If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm_out`. An edge of `tm_out` is constrained if it is on the intersection of `tm1` and `tm2`, or if the edge corresponds to a constrained edge in `tm1` or `tm2`.

Returns: true if the output surface mesh is manifold and is put into tm_out. If false is returned and if tm_out is one of the input surface meshes, then tm_out is only corefined.

Examples: Polygon_mesh_processing/corefinement_difference_remeshed.cpp.

◆ corefine_and_compute_intersection()

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >

bool CGAL::Polygon_mesh_processing::corefine_and_compute_intersection	(	TriangleMesh &	tm1,
		TriangleMesh &	tm2,
		TriangleMesh &	tm_out,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2,
		const NamedParametersOut &	np_out
	)

#include <CGAL/Polygon_mesh_processing/corefinement.h>

corefines tm1 and tm2 and puts in tm_out a triangulated surface mesh bounding the intersection of the volumes bounded by tm1 and tm2. corefines tm1 and tm2 and puts in tm_out a triangulated surface mesh bounding the union of the volumes bounded by tm1 and tm2. If tm_out is one of the input surface meshes, it will be updated to contain the output (in-place operation), otherwise the result will be inserted into tm_out without clearing it first.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm1); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters
NamedParametersOut	a sequence of Named Parameters

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
tm_out	output surface mesh
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm1` (`tm2`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm1` (`tm2`).
face_index_map	a property map containing the index of each face of `tm1` (`tm2`). Note that if the property map is writable, the indices of the faces of `tm1` and `tm2` will be set after the corefinement is done.
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces (`np1` only)
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

Parameters

np_out optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm_out`. If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm_out`. An edge of `tm_out` is constrained if it is on the intersection of `tm1` and `tm2`, or if the edge corresponds to a constrained edge in `tm1` or `tm2`.

Returns: true if the output surface mesh is manifold and is put into tm_out. If false is returned and if tm_out is one of the input surface meshes, then tm_out is only corefined.

Examples: Polygon_mesh_processing/corefinement_consecutive_bool_op.cpp.

◆ corefine_and_compute_union()

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 , class NamedParametersOut >

bool CGAL::Polygon_mesh_processing::corefine_and_compute_union	(	TriangleMesh &	tm1,
		TriangleMesh &	tm2,
		TriangleMesh &	tm_out,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2,
		const NamedParametersOut &	np_out
	)

#include <CGAL/Polygon_mesh_processing/corefinement.h>

corefines tm1 and tm2 and puts in tm_out a triangulated surface mesh bounding the union of the volumes bounded by tm1 and tm2. If tm_out is one of the input surface meshes, it will be updated to contain the output (in-place operation), otherwise the result will be inserted into tm_out without clearing it first.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm1); CGAL::Polygon_mesh_processing::does_bound_a_volume(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters
NamedParametersOut	a sequence of Named Parameters

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
tm_out	output surface mesh
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm1` (`tm2`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm1` (`tm2`).
face_index_map	a property map containing the index of each face of `tm1` (`tm2`). Note that if the property map is writable, the indices of the faces of `tm1` and `tm2` will be set after the corefinement is done.
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces (`np1` only)
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

Parameters

np_out optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm_out`. If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
edge_is_constrained_map	a property map containing the constrained-or-not status of each edge of `tm_out`. An edge of `tm_out` is constrained if it is on the intersection of `tm1` and `tm2`, or if the edge corresponds to a constrained edge in `tm1` or `tm2`.

Returns: true if the output surface mesh is manifold and is put into tm_out. If false is returned and if tm_out is one of the input surface meshes, then tm_out is only corefined.

Examples: Polygon_mesh_processing/corefinement_consecutive_bool_op.cpp, and Polygon_mesh_processing/corefinement_mesh_union.cpp.

◆ split() [1/3]

template<class TriangleMesh , class NamedParameters >

void CGAL::Polygon_mesh_processing::split	(	TriangleMesh &	tm,
		const Iso_cuboid_3 &	iso_cuboid,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

adds intersection edges of iso_cuboid and tm in tm and duplicates those edges.

Note: In the current implementation it is not possible to set the vertex point map and the default will be used.; Iso_cuboid_3 must be from the same Kernel as the point of the vertex point map.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph` An internal property map for `CGAL::vertex_point_t` must be available.
NamedParameters	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
iso_cuboid	iso-cuboid used to split `tm`.
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `iso_cuboid` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found.

◆ split() [2/3]

template<class TriangleMesh , class NamedParameters >

void CGAL::Polygon_mesh_processing::split	(	TriangleMesh &	tm,
		const Plane_3 &	plane,
		const NamedParameters &	np
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

adds intersection edges of plane and tm in tm and duplicates those edges.

Note: In the current implementation it is not possible to set the vertex point map and the default will be used.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph` An internal property map for `CGAL::vertex_point_t` must be available.
NamedParameters	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
plane	the plane that will be used to split `tm`. `Plane_3` is the plane type for the same CGAL kernel as the point of the vertex point map of `tm`.
np	optional sequence of Named Parameters among the ones listed below

Named Parameters

visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `plane` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found.

◆ split() [3/3]

template<class TriangleMesh , class NamedParameters1 , class NamedParameters2 >

void CGAL::Polygon_mesh_processing::split	(	TriangleMesh &	tm,
		TriangleMesh &	splitter,
		const NamedParameters1 &	np_tm,
		const NamedParameters2 &	np_s
	)

#include <CGAL/Polygon_mesh_processing/clip.h>

corefines tm and splitter and duplicates edges in tm that are on the intersection with splitter.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm); !CGAL::Polygon_mesh_processing::does_self_intersect(splitter)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`.
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters

Parameters

tm	input triangulated surface mesh
splitter	triangulated surface mesh used to split `tm`
np_tm	optional sequence of Named Parameters among the ones listed below
np_s	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	the property map with the points associated to the vertices of `tm` (`splitter`). If this parameter is omitted, an internal property map for `CGAL::vertex_point_t` must be available in `TriangleMesh`
visitor	a class model of `PMPCorefinementVisitor` that is used to track the creation of new faces.
throw_on_self_intersection	if `true`, the set of triangles closed to the intersection of `tm` and `splitter` will be checked for self-intersections and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found.

◆ surface_intersection()

template<class OutputIterator , class TriangleMesh , class NamedParameters1 , class NamedParameters2 >

OutputIterator CGAL::Polygon_mesh_processing::surface_intersection	(	const TriangleMesh &	tm1,
		const TriangleMesh &	tm2,
		OutputIterator	polyline_output,
		const NamedParameters1 &	np1,
		const NamedParameters2 &	np2
	)

#include <CGAL/Polygon_mesh_processing/intersection.h>

computes the intersection of triangles of tm1 and tm2. The output is a set of polylines with all vertices but endpoints being of degree 2.

Precondition: !CGAL::Polygon_mesh_processing::does_self_intersect(tm1); !CGAL::Polygon_mesh_processing::does_self_intersect(tm2)

Template Parameters

TriangleMesh	a model of `MutableFaceGraph`, `HalfedgeListGraph` and `FaceListGraph`
NamedParameters1	a sequence of Named Parameters
NamedParameters2	a sequence of Named Parameters
OutputIterator	an output iterator in which `std::vector` of points can be put. The point type is the one from the vertex property map

Parameters

tm1	first input triangulated surface mesh
tm2	second input triangulated surface mesh
polyline_output	output iterator of polylines. Each polyline will be given as a vector of points
np1	optional sequence of Named Parameters among the ones listed below
np2	optional sequence of Named Parameters among the ones listed below

Named Parameters

vertex_point_map	a property map with the points associated to the vertices of `tm1` (`tm2`). The two property map types must be the same.
throw_on_self_intersection	if `true`, for each input triangle mesh, the set of triangles close to the intersection of `tm1` and `tm2` will be checked for self-intersection and `CGAL::Polygon_mesh_processing::Corefinement::Self_intersection_exception` will be thrown if at least one is found (`np1` only).

Classes

Enumerations

Functions

Enumeration Type Documentation

◆ Boolean_operation_type

Function Documentation

◆ clip() [1/3]

◆ clip() [2/3]

◆ clip() [3/3]

◆ corefine()

◆ corefine_and_compute_boolean_operations()

◆ corefine_and_compute_difference()

◆ corefine_and_compute_intersection()

◆ corefine_and_compute_union()

◆ split() [1/3]

◆ split() [2/3]

◆ split() [3/3]

◆ surface_intersection()