\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.11.1 - 2D Conforming Triangulations and Meshes
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CGAL Namespace Reference

Namespaces

 cpp11
 
 IO
 
 Mesh_2
 
 Scale_space_reconstruction_3
 
 Shape_detection_3
 
 Surface_mesh_parameterization
 

Classes

class  Aff_transformation_2
 
class  Aff_transformation_3
 
class  Identity_transformation
 
class  Reflection
 
class  Rotation
 
class  Scaling
 
class  Translation
 
class  Bbox_2
 
class  Bbox_3
 
class  Cartesian
 
class  Cartesian_converter
 
class  Circle_2
 
class  Circle_3
 
class  Ambient_dimension
 
class  Dimension_tag
 
class  Dynamic_dimension_tag
 
class  Feature_dimension
 
class  Direction_2
 
class  Direction_3
 
class  Exact_predicates_exact_constructions_kernel
 
class  Exact_predicates_exact_constructions_kernel_with_kth_root
 
class  Exact_predicates_exact_constructions_kernel_with_root_of
 
class  Exact_predicates_exact_constructions_kernel_with_sqrt
 
class  Exact_predicates_inexact_constructions_kernel
 
class  Filtered_kernel_adaptor
 
class  Filtered_kernel
 
class  Filtered_predicate
 
class  Homogeneous
 
class  Homogeneous_converter
 
class  Iso_cuboid_3
 
class  Iso_rectangle_2
 
class  Kernel_traits
 
class  Line_2
 
class  Line_3
 
class  Null_vector
 
class  Origin
 
class  Plane_3
 
class  Point_2
 
class  Point_3
 
class  Projection_traits_xy_3
 
class  Projection_traits_xz_3
 
class  Projection_traits_yz_3
 
class  Ray_2
 
class  Ray_3
 
class  Segment_2
 
class  Segment_3
 
class  Simple_cartesian
 
class  Simple_homogeneous
 
class  Sphere_3
 
class  Tetrahedron_3
 
class  Triangle_2
 
class  Triangle_3
 
class  Vector_2
 
class  Vector_3
 
class  Weighted_point_2
 
class  Weighted_point_3
 
struct  Construct_array
 
class  CC_safe_handle
 
class  Compact_container_base
 
class  Compact_container
 
class  Compact_container_traits
 
class  Compact
 
class  Fast
 
class  Concurrent_compact_container_traits
 
class  Concurrent_compact_container
 
class  Default
 
class  Fourtuple
 
class  Cast_function_object
 
class  Compare_to_less
 
class  Creator_1
 
class  Creator_2
 
class  Creator_3
 
class  Creator_4
 
class  Creator_5
 
class  Creator_uniform_2
 
class  Creator_uniform_3
 
class  Creator_uniform_4
 
class  Creator_uniform_5
 
class  Creator_uniform_6
 
class  Creator_uniform_7
 
class  Creator_uniform_8
 
class  Creator_uniform_9
 
class  Creator_uniform_d
 
class  Dereference
 
class  Get_address
 
class  Identity
 
class  Project_facet
 
class  Project_next
 
class  Project_next_opposite
 
class  Project_normal
 
class  Project_opposite_prev
 
class  Project_plane
 
class  Project_point
 
class  Project_prev
 
class  Project_vertex
 
class  In_place_list_base
 
class  In_place_list
 
class  Const_oneset_iterator
 
class  Counting_iterator
 
class  Dispatch_or_drop_output_iterator
 
class  Dispatch_output_iterator
 
class  Emptyset_iterator
 
class  Filter_iterator
 
class  Insert_iterator
 
class  Inverse_index
 
class  Join_input_iterator_1
 
class  Join_input_iterator_2
 
class  Join_input_iterator_3
 
class  N_step_adaptor
 
class  Oneset_iterator
 
class  Random_access_adaptor
 
class  Random_access_value_adaptor
 
class  Iterator_range
 
class  Location_policy
 
class  Multiset
 
class  Object
 
class  Sixtuple
 
class  Spatial_lock_grid_3
 
class  Boolean_tag
 
struct  Null_functor
 
struct  Sequential_tag
 
struct  Parallel_tag
 
class  Null_tag
 
class  Threetuple
 
class  Twotuple
 
class  Uncertain
 
class  Quadruple
 
class  Triple
 
struct  value_type_traits
 
struct  value_type_traits< std::back_insert_iterator< Container > >
 
struct  value_type_traits< std::insert_iterator< Container > >
 
struct  value_type_traits< std::front_insert_iterator< Container > >
 
class  Algebraic_structure_traits
 
class  Euclidean_ring_tag
 
class  Field_tag
 
class  Field_with_kth_root_tag
 
class  Field_with_root_of_tag
 
class  Field_with_sqrt_tag
 
class  Integral_domain_tag
 
class  Integral_domain_without_division_tag
 
class  Unique_factorization_domain_tag
 
class  Coercion_traits
 
class  Fraction_traits
 
class  Real_embeddable_traits
 
class  Circulator_from_container
 
class  Circulator_from_iterator
 
class  Circulator_traits
 
class  Container_from_circulator
 
struct  Circulator_tag
 
struct  Iterator_tag
 
struct  Forward_circulator_tag
 
struct  Bidirectional_circulator_tag
 
struct  Random_access_circulator_tag
 
struct  Circulator_base
 
struct  Forward_circulator_base
 
struct  Bidirectional_circulator_base
 
struct  Random_access_circulator_base
 
class  Forward_circulator_ptrbase
 
class  Bidirectional_circulator_ptrbase
 
class  Random_access_circulator_ptrbase
 
class  Color
 
class  Input_rep
 
class  Output_rep
 
class  Istream_iterator
 
class  Ostream_iterator
 
class  Verbose_ostream
 
class  Constrained_Delaunay_triangulation_2
 
struct  No_intersection_tag
 
struct  Exact_intersections_tag
 
struct  Exact_predicates_tag
 
class  Constrained_triangulation_2
 
class  Constrained_triangulation_face_base_2
 
class  Constrained_triangulation_plus_2
 
class  Delaunay_triangulation_2
 
class  Regular_triangulation_2
 
class  Regular_triangulation_euclidean_traits_2
 
class  Regular_triangulation_face_base_2
 
class  Regular_triangulation_filtered_traits_2
 
class  Regular_triangulation_vertex_base_2
 
class  Triangulation_2
 
class  Triangulation_cw_ccw_2
 
class  Triangulation_euclidean_traits_2
 
class  Triangulation_face_base_2
 
class  Triangulation_face_base_with_info_2
 
class  Triangulation_hierarchy_2
 
class  Triangulation_hierarchy_vertex_base_2
 
class  Triangulation_vertex_base_2
 
class  Triangulation_vertex_base_with_info_2
 
class  Weighted_point
 
class  Delaunay_mesh_criteria_2
 The class Delaunay_mesh_criteria_2 is a model for the MeshingCriteria_2 concept. More...
 
class  Delaunay_mesh_face_base_2
 The class Delaunay_mesh_face_base_2 is a model for the concept DelaunayMeshFaceBase_2. More...
 
class  Delaunay_mesh_size_criteria_2
 The class Delaunay_mesh_size_criteria_2 is a model for the MeshingCriteria_2 concept. More...
 
class  Delaunay_mesh_vertex_base_2
 The class Delaunay_mesh_vertex_base_2 is a model for the concept DelaunayMeshVertexBase_2. More...
 
class  Delaunay_mesher_2
 This class implements a 2D mesh generator. More...
 
class  Triangulation_conformer_2
 The class Triangulation_conformer_2 is an auxiliary class of Delaunay_mesher_2<CDT>. More...
 

Enumerations

enum  Mesh_optimization_return_code {
  BOUND_REACHED = 0, TIME_LIMIT_REACHED, CANT_IMPROVE_ANYMORE, CONVERGENCE_REACHED,
  MAX_ITERATION_NUMBER_REACHED, ALL_VERTICES_FROZEN
}
 The enum Mesh_optimization_return_code is the output of the global mesh optimization functions. More...
 

Functions

template<class CDT , class Criteria >
void refine_Delaunay_mesh_2 (CDT &t, const Criteria &criteria=Criteria())
 Refines the default domain defined by a constrained Delaunay triangulation without seeds into a mesh satisfying the criteria defined by the traits criteria. More...
 
template<class CDT , class Criteria , class InputIterator >
void refine_Delaunay_mesh_2 (CDT &t, InputIterator begin, InputIterator end, const Criteria &criteria=Criteria(), bool mark=false)
 Refines the default domain defined by a constrained Delaunay triangulation into a mesh satisfying the criteria defined by the traits criteria.The sequence [begin, end) gives a set of seeds points, that defines the domain to be meshed as follows. More...
 
template<typename CDT , typename PointIterator >
CGAL::Mesh_optimization_return_code lloyd_optimize_mesh_2 (CDT &cdt, double parameters::time_limit=0, std::size_t parameters::max_iteration_number=0, double parameters::convergence=0.001, double parameters::freeze_bound=0.001, PointIterator parameters::seeds_begin=PointIterator(), PointIterator parameters::seeds_end=PointIterator(), bool parameters::mark=false)
 The function lloyd_optimize_mesh_2() is a mesh optimization process based on the minimization of a global energy function. More...
 
template<class CDT >
void make_conforming_Delaunay_2 (CDT &t)
 Refines the constrained Delaunay triangulation t into a conforming Delaunay triangulation. More...
 
template<class CDT >
void make_conforming_Gabriel_2 (CDT &t)
 Refines the constrained Delaunay triangulation t into a conforming Gabriel triangulation. More...