CGAL 6.0.2 - Kinetic Space Partition

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CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits > Class Template Reference
Kinetic Space Partition Reference

`#include <CGAL/Kinetic_space_partition_3.h>`

## Definition

template<typename GeomTraits, typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
class CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >

creates the kinetic partition of the bounding box of the polygons given as input data.

The kinetic partition can either be initialized by using the default constructor `Kinetic_space_partition_3()`, `insert()` to provide input data and `initialize()` to prepare the partition or by using the constructor with input parameters.

Template Parameters

  GeomTraits | must be a model of `KineticSpacePartitionTraits_3`.
  IntersectionTraits | must be a model of `Kernel` using exact computations. Defaults to `CGAL::Exact_predicates_exact_constructions_kernel`.

Examples
  Kinetic_space_partition/kinetic_partition.cpp.

## Classes
class | Linear_cell_complex_min_items
| this class provides a minimal model of `KineticLCCItems`. More...

## Public Types
enum | Face_support : int { ZMIN = -1 , YMIN = -2 , XMAX = -3 , YMAX = -4 , XMIN = -5 , ZMAX = -6 , OCTREE_FACE = -7 }
| identifies the support of a face in the exported linear cell complex, which is either an input polygon, identified by a non-negative number, a side of the bounding box in the rotated coordinate system or a face of the octree used to partition the scene.
using | Kernel = GeomTraits
using | Intersection_kernel = IntersectionTraits
using | Point_3 = typename Kernel::Point_3

## Initialization
template<typename NamedParameters = parameters::Default_named_parameters>
| Kinetic_space_partition_3 (const NamedParameters &np=CGAL::parameters::default_values())
| constructs an empty kinetic space partition object.
template<typename PointRange , typename PolygonRange , typename NamedParameters = parameters::Default_named_parameters>
| Kinetic_space_partition_3 (const PointRange &points, const PolygonRange &polygons, const NamedParameters &np=CGAL::parameters::default_values())
| constructs a kinetic space partition object and initializes it.
template<typename PointRange , typename PolygonRange , typename NamedParameters = parameters::Default_named_parameters>
void | insert (const PointRange &points, const PolygonRange &polygons, const NamedParameters &np=CGAL::parameters::default_values())
| inserts non-coplanar polygons, requires `initialize()` afterwards to have effect.
template<typename NamedParameters = parameters::Default_named_parameters>
void | initialize (const NamedParameters &np=CGAL::parameters::default_values())
| initializes the kinetic partition of the bounding box.
void | partition (std::size_t k)
| propagates the kinetic polygons in the initialized partition.

## Access
std::size_t | number_of_volumes () const
| returns the number of volumes created by the kinetic partition.
const std::vector< typename Intersection_kernel::Plane_3 > & | input_planes () const
| provides the support planes of the partition derived from the input polygons
template<class LCC >
void | get_linear_cell_complex (LCC &lcc) const
| exports the kinetic partition into a `Linear_cell_complex_for_combinatorial_map<3, 3>` using a model of `KineticLCCItems` as items, e.g., `Kinetic_space_partition_3::Linear_cell_complex_min_items`.

## Constructor & Destructor Documentation

## ◆ Kinetic_space_partition_3() [1/2]

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
template<typename NamedParameters = parameters::Default_named_parameters>

CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::Kinetic_space_partition_3 | ( | const NamedParameters & | np = `CGAL::parameters::default_values()` | ) |

constructs an empty kinetic space partition object.

Use `insert()` afterwards to insert polygons into the partition and `initialize()` to initialize the partition.

Template Parameters

  NamedParameters | a sequence of Named Parameters

Parameters

  np | a sequence of Named Parameters among the ones listed below

Optional Named Parameters

  Write timing and internal information to `std::cout`. Type: bool Default: false |
  Export of intermediate results. Type: bool Default: false |

## ◆ Kinetic_space_partition_3() [2/2]

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
template<typename PointRange , typename PolygonRange , typename NamedParameters = parameters::Default_named_parameters>

CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::Kinetic_space_partition_3 | ( | const PointRange & | points,
|  | const PolygonRange & | polygons,
|  | const NamedParameters & | np = `CGAL::parameters::default_values()`
| ) |  |

constructs a kinetic space partition object and initializes it.

Template Parameters

  PointRange | must be a model of `ConstRange` whose iterator type is `RandomAccessIterator` and whose value type is Point_3.
  PolygonRange | contains index ranges to form polygons by providing indices into PointRange
  NamedParameters | a sequence of Named Parameters

Parameters

  points | an instance of `PointRange` with 3D points and corresponding 3D normal vectors
  polygons | a range of non-coplanar polygons defined by a range of indices into `points`
  np | a sequence of Named Parameters among the ones listed below

Optional Named Parameters

  a property map associating points to the elements of the input range PointRange `points`. Type: a model of `ReadablePropertyMap` whose key type is the value type of the iterator of `PointRange` and whose value type is `GeomTraits::Point_3` Default: `CGAL::Identity_property_map<GeomTraits::Point_3>` |
  Export of intermediate results. Type: bool Default: false |
  Write timing and internal information to std::cout. Type: bool Default: false |
  Use the oriented bounding box instead of the axis-aligned bounding box. While the z direction is maintained, the x axis is aligned with the largest variation in the horizontal plane. Type: bool Default: false |
  Factor for extension of the bounding box of the input data to be used for the partition. Type: FT Default: 1.1 |
  The maximal depth of the octree for subdividing the kinetic partition before initialization. Type: std::size_t Default: 3 |
  A node in the octree is only split if the contained number of primitives is larger and the maximal depth is not yet reached. Type: std::size_t Default: 40 |

Precondition
  ! points.empty() and ! polygons.empty()

## Member Function Documentation

## ◆ get_linear_cell_complex()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
template<class LCC >

void CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::get_linear_cell_complex | ( | LCC & | lcc | ) | const

exports the kinetic partition into a `Linear_cell_complex_for_combinatorial_map<3, 3>` using a model of `KineticLCCItems` as items, e.g., `Kinetic_space_partition_3::Linear_cell_complex_min_items`.

Volume and face attributes defined in the model `KineticLCCItems` are filled. The volume index is in the range [0, number of volumes -1]

Template Parameters

  LCC | must be a model of `Linear_cell_complex_for_combinatorial_map<3, 3>` using a model of `KineticLCCItems`.

Parameters

  lcc | instance of LCC to be filled with the kinetic partition. Any data contained in `lcc` will be cleared before.

Precondition
  created partition

## ◆ initialize()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
template<typename NamedParameters = parameters::Default_named_parameters>

void CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::initialize | ( | const NamedParameters & | np = `CGAL::parameters::default_values()` | ) |

initializes the kinetic partition of the bounding box.

Template Parameters

  NamedParameters | a sequence of Named Parameters

Parameters

  np | a sequence of Named Parameters among the ones listed below

Optional Named Parameters

  Use the oriented bounding box instead of the axis-aligned bounding box. While the z direction is maintained, the x axis is aligned with the largest variation in the horizontal plane. Type: bool Default: false |
  Factor for extension of the bounding box of the input data to be used for the partition. Type: FT Default: 1.1 |
  The maximal depth of the octree for subdividing the kinetic partition before initialization. Type: std::size_t Default: 3 |
  A node in the octree is only split if the contained number of primitives is larger and the maximal depth is not yet reached. Type: std::size_t Default: 40 |

Precondition
  input data has been provided via `insert()`.

## ◆ input_planes()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>

const std::vector< typename Intersection_kernel::Plane_3 > & CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::input_planes | ( |  | ) | const

provides the support planes of the partition derived from the input polygons

Returns
  vector of planes.

Precondition
  inserted polygons

## ◆ insert()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>
template<typename PointRange , typename PolygonRange , typename NamedParameters = parameters::Default_named_parameters>

void CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::insert | ( | const PointRange & | points,
|  | const PolygonRange & | polygons,
|  | const NamedParameters & | np = `CGAL::parameters::default_values()`
| ) |  |

inserts non-coplanar polygons, requires `initialize()` afterwards to have effect.

Template Parameters

  PointRange | must be a model of `ConstRange` whose iterator type is `RandomAccessIterator` and whose value type is `GeomTraits::Point_3`.
  PolygonRange | contains index ranges to form polygons by providing indices into PointRange
  NamedParameters | a sequence of Named Parameters

Parameters

  points | an instance of `PointRange` with 3D points
  polygons | a range of non-coplanar polygons defined by a range of indices into `points`
  np | a sequence of Named Parameters among the ones listed below

Optional Named Parameters

  a property map associating points to the elements of the `points` Type: a model of `ReadablePropertyMap` whose key type is the value type of the iterator of `PointRange` and whose value type is `GeomTraits::Point_3` Default: `CGAL::Identity_property_map<GeomTraits::Point_3>` |

## ◆ number_of_volumes()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>

std::size_t CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::number_of_volumes | ( |  | ) | const

returns the number of volumes created by the kinetic partition.

Precondition
  created partition

## ◆ partition()

template<typename GeomTraits , typename IntersectionTraits = CGAL::Exact_predicates_exact_constructions_kernel>

void CGAL::Kinetic_space_partition_3< GeomTraits, IntersectionTraits >::partition | ( | std::size_t | k | ) |

propagates the kinetic polygons in the initialized partition.

Parameters

  k | maximum number of allowed intersections for each input polygon before its expansion stops.

Precondition
  initialized partition and `k != 0`