DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger > Struct Template Reference

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

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

Public Types
typedef TInteger	Integer
typedef SpaceND< 3, Integer >	Space
typedef Space::Point	Point
typedef Space::Vector	Vector
typedef BoundedLatticePolytope< 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::BoundedLatticePolytopeSpecializer< 3, TInteger >

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

Description of template class 'BoundedLatticePolytopeSpecializer'

Template Parameters

TInteger

any model of integer.

Definition at line 933 of file BoundedLatticePolytope.h.

Member Typedef Documentation

Integer

template<typename TInteger >

typedef TInteger DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::Integer

Definition at line 934 of file BoundedLatticePolytope.h.

Point

template<typename TInteger >

typedef Space::Point DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::Point

Definition at line 936 of file BoundedLatticePolytope.h.

Polytope

template<typename TInteger >

typedef BoundedLatticePolytope< Space > DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::Polytope

Definition at line 938 of file BoundedLatticePolytope.h.

Space

template<typename TInteger >

typedef SpaceND< 3, Integer> DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::Space

Definition at line 935 of file BoundedLatticePolytope.h.

Vector

template<typename TInteger >

typedef Space::Vector DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::Vector

Definition at line 937 of file BoundedLatticePolytope.h.

Member Function Documentation

addEdgeConstraint()

template<typename TInteger >

static void DGtal::detail::BoundedLatticePolytopeSpecializer< 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 951 of file BoundedLatticePolytope.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 == pts.size() - 2 ) {
                P.cut( n, b, true, true );
              }
            }
      }

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

crossProduct()

template<typename TInteger >

static Vector DGtal::detail::BoundedLatticePolytopeSpecializer< 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 975 of file BoundedLatticePolytope.h.

      {
        return v1.crossProduct( v2 );
      }

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

Field Documentation

dimension

template<typename TInteger >

const Dimension DGtal::detail::BoundedLatticePolytopeSpecializer< 3, TInteger >::dimension = Space::dimension

static

Definition at line 939 of file BoundedLatticePolytope.h.

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

• BoundedLatticePolytope.h