DiagonalPriority< CubicalComplex > Struct Template Reference

Public Types
typedef CubicalComplex::KSpace	KSpace
typedef CubicalComplex::Point	Point
typedef CubicalComplex::Cell	Cell
typedef CubicalComplex::CellMapIterator	CellMapIterator

Public Member Functions
	DiagonalPriority (const CubicalComplex &complex)
bool	operator() (const CellMapIterator &it1, const CellMapIterator &it2) const

Data Fields
const CubicalComplex &	myComplex

Detailed Description

template<typename CubicalComplex>
struct DiagonalPriority< CubicalComplex >

The diagonal property induces that cells further away from the straight line (1,..,1)*x are removed first in a collapse operation. Could be used instead of giving values to each cell data.

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 90 of file cubical-complex-collapse.cpp.

Member Typedef Documentation

Cell

template<typename CubicalComplex >

typedef CubicalComplex::Cell DiagonalPriority< CubicalComplex >::Cell

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 93 of file cubical-complex-collapse.cpp.

CellMapIterator

template<typename CubicalComplex >

typedef CubicalComplex::CellMapIterator DiagonalPriority< CubicalComplex >::CellMapIterator

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 94 of file cubical-complex-collapse.cpp.

KSpace

template<typename CubicalComplex >

typedef CubicalComplex::KSpace DiagonalPriority< CubicalComplex >::KSpace

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 91 of file cubical-complex-collapse.cpp.

Point

template<typename CubicalComplex >

typedef CubicalComplex::Point DiagonalPriority< CubicalComplex >::Point

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 92 of file cubical-complex-collapse.cpp.

Constructor & Destructor Documentation

DiagonalPriority()

template<typename CubicalComplex >

DiagonalPriority< CubicalComplex >::DiagonalPriority ( const CubicalComplex &  complex )

inline

Definition at line 96 of file cubical-complex-collapse.cpp.

: myComplex( complex ) {}

Member Function Documentation

operator()()

template<typename CubicalComplex >

bool DiagonalPriority< CubicalComplex >::operator() ( const CellMapIterator &  it1, const CellMapIterator &  it2  ) const

inline

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 97 of file cubical-complex-collapse.cpp.

  {
    Point k1 = myComplex.space().uKCoords( it1->first );
    Point k2 = myComplex.space().uKCoords( it2->first );
    double d1 = Point::diagonal( 1 ).dot( k1 ) / sqrt( (double) KSpace::dimension );
    double d2 = Point::diagonal( 1 ).dot( k2 ) / sqrt( (double) KSpace::dimension );;
    RealPoint v1( k1[ 0 ] - d1 * k1[ 0 ], k1[ 1 ] - d1 * k1[ 1 ], k1[ 2 ] - d1 * k1[ 2 ] );
    RealPoint v2( k2[ 0 ] - d2 * k2[ 0 ], k2[ 1 ] - d2 * k2[ 1 ], k2[ 2 ] - d2 * k2[ 2 ] );
    double n1 = v1.dot( v1 );
    double n2 = v2.dot( v2 );
    return ( n1 < n2 ) || ( ( n1 == n2 ) && ( it1->first < it2->first ) );
  }

References DGtal::PointVector< dim, Integer >::diagonal(), DGtal::KhalimskySpaceND< dim, TInteger >::dimension, DGtal::PointVector< dim, TEuclideanRing, TContainer >::dot(), DiagonalPriority< CubicalComplex >::myComplex, and DGtal::CubicalComplex< TKSpace, TCellContainer >::space().

Field Documentation

myComplex

template<typename CubicalComplex >

const CubicalComplex& DiagonalPriority< CubicalComplex >::myComplex

Examples

topology/cubical-complex-collapse.cpp.

Definition at line 110 of file cubical-complex-collapse.cpp.

Referenced by DiagonalPriority< CubicalComplex >::operator()().

---

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

• cubical-complex-collapse.cpp