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, Integer >	Space
typedef Space::Point	Point
typedef Space::Vector	Vector
typedef BoundedRationalPolytope< Space >	Polytope

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

TInteger

any 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]	P	any polytope.
[in]	i	any index in the vector of points pts.
[in]	j	any index in the vector of points pts.
[in]	pts	a vector of points defining a simplex.

Definition at line 765 of file BoundedRationalPolytope.h.

      {
        Vector ab = pts[ i ] - pts[ j ];
        for ( int s = 0; s < 2; s++ )
          for ( Dimension k = 0; k < dimension; ++k )
            {
              Vector  n = ab.crossProduct( Point::base( k, (s == 0) ? 1 : -1 ) );
              Integer b = n.dot( pts[ i ] );
              std::size_t nb_in = 0;
              for ( auto p : pts ) {
                Integer v = n.dot( p );
                if ( v < b )  nb_in++;
              }
              if ( nb_in == dimension - 1 ) {
                P.cut( n, b, true, true );
              }
            }
      }

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

v1	any vector
v2	any vector

Returns

their cross product.

Definition at line 789 of file BoundedRationalPolytope.h.

      {
        return v1.crossProduct( v2 );
      }

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.

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The documentation for this struct was generated from the following file:

• BoundedRationalPolytope.h