DGtal  1.3.beta
Public Types | Static Public Member Functions | Static Public Attributes
DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger > Struct Template Reference

Aim: 3D specialization for BoundedRationalPolytope to add dimension specific static methods. More...

#include <DGtal/geometry/volumes/BoundedRationalPolytope.h>

Public Types

typedef TInteger Integer
 
typedef SpaceND< 3, IntegerSpace
 
typedef Space::Point Point
 
typedef Space::Vector Vector
 
typedef BoundedRationalPolytope< SpacePolytope
 

Static Public Member Functions

static void addEdgeConstraint (Polytope &P, unsigned int i, unsigned int j, const std::vector< Point > &pts)
 
static Vector crossProduct (const Vector &v1, const Vector &v2)
 

Static Public Attributes

static const Dimension dimension = Space::dimension
 

Detailed Description

template<typename TInteger>
struct DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >

Aim: 3D specialization for BoundedRationalPolytope to add dimension specific static methods.

Description of template class 'BoundedRationalPolytopeSpecializer'

Template Parameters
TIntegerany model of integer.

Definition at line 747 of file BoundedRationalPolytope.h.

Member Typedef Documentation

◆ Integer

template<typename TInteger >
typedef TInteger DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::Integer

Definition at line 748 of file BoundedRationalPolytope.h.

◆ Point

template<typename TInteger >
typedef Space::Point DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::Point

Definition at line 750 of file BoundedRationalPolytope.h.

◆ Polytope

template<typename TInteger >
typedef BoundedRationalPolytope< Space > DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::Polytope

Definition at line 752 of file BoundedRationalPolytope.h.

◆ Space

template<typename TInteger >
typedef SpaceND< 3, Integer> DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::Space

Definition at line 749 of file BoundedRationalPolytope.h.

◆ Vector

template<typename TInteger >
typedef Space::Vector DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::Vector

Definition at line 751 of file BoundedRationalPolytope.h.

Member Function Documentation

◆ addEdgeConstraint()

template<typename TInteger >
static void DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::addEdgeConstraint ( Polytope P,
unsigned int  i,
unsigned int  j,
const std::vector< Point > &  pts 
)
inlinestatic

This method add extremal constraints for simplex edges. Each constraint is a half-space bounded by the edge and one axis. Such constraints are useful when computing the Minkowski sum.

Parameters
[in,out]Pany polytope.
[in]iany index in the vector of points pts.
[in]jany index in the vector of points pts.
[in]ptsa vector of points defining a simplex.

Definition at line 765 of file BoundedRationalPolytope.h.

767  {
768  Vector ab = pts[ i ] - pts[ j ];
769  for ( int s = 0; s < 2; s++ )
770  for ( Dimension k = 0; k < dimension; ++k )
771  {
772  Vector n = ab.crossProduct( Point::base( k, (s == 0) ? 1 : -1 ) );
773  Integer b = n.dot( pts[ i ] );
774  std::size_t nb_in = 0;
775  for ( auto p : pts ) {
776  Integer v = n.dot( p );
777  if ( v < b ) nb_in++;
778  }
779  if ( nb_in == dimension - 1 ) {
780  P.cut( n, b, true, true );
781  }
782  }
783  }

References DGtal::PointVector< dim, Integer >::base(), DGtal::PointVector< dim, TEuclideanRing, TContainer >::crossProduct(), DGtal::BoundedRationalPolytope< TSpace >::cut(), and DGtal::detail::BoundedRationalPolytopeSpecializer< N, TInteger >::dimension.

◆ crossProduct()

template<typename TInteger >
static Vector DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::crossProduct ( const Vector v1,
const Vector v2 
)
inlinestatic

Generic method for cross product, only implemented in 3D.

Parameters
v1any vector
v2any vector
Returns
their cross product.

Definition at line 789 of file BoundedRationalPolytope.h.

790  {
791  return v1.crossProduct( v2 );
792  }

References DGtal::PointVector< dim, TEuclideanRing, TContainer >::crossProduct().

Field Documentation

◆ dimension

template<typename TInteger >
const Dimension DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::dimension = Space::dimension
static

Definition at line 753 of file BoundedRationalPolytope.h.


The documentation for this struct was generated from the following file:
DGtal::Dimension
DGtal::uint32_t Dimension
Definition: Common.h:137
DGtal::detail::BoundedRationalPolytopeSpecializer< 3, TInteger >::dimension
static const Dimension dimension
Definition: BoundedRationalPolytope.h:753
Vector
FreemanChain< int >::Vector Vector
Definition: testCombinDSS.cpp:60
Integer
Point::Coordinate Integer
Definition: examplePlaneProbingParallelepipedEstimator.cpp:44