-#ifndef __FPA__BASE__MINIMUMSPANNINGTREE__HXX__
-#define __FPA__BASE__MINIMUMSPANNINGTREE__HXX__
+// =========================================================================
+// @author Leonardo Florez Valencia
+// @email florez-l@javeriana.edu.co
+// =========================================================================
-#include <limits>
+#ifndef __fpa__Base__MinimumSpanningTree__hxx__
+#define __fpa__Base__MinimumSpanningTree__hxx__
// -------------------------------------------------------------------------
-template< class V, class B >
-const unsigned long fpa::Base::MinimumSpanningTree< V, B >::INF_VALUE =
- std::numeric_limits< unsigned long >::max( ) >> 1;
+template< class _TVertex, class _Superclass >
+const typename fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+TCollisions& fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+GetCollisions( ) const
+{
+ return( this->m_Collisions );
+}
// -------------------------------------------------------------------------
-template< class V, class B >
-void fpa::Base::MinimumSpanningTree< V, B >::
+template< class _TVertex, class _Superclass >
+void fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
SetCollisions( const TCollisions& collisions )
{
+ static const unsigned long _inf =
+ std::numeric_limits< unsigned long >::max( );
+ if( this->m_Collisions == collisions )
+ return;
+
this->m_Collisions = collisions;
- // Prepare fronts graph using Floyd-Warshall
- unsigned long nSeeds = this->m_Collisions.size( );
- _TMatrix dist( nSeeds, _TRow( nSeeds, Self::INF_VALUE ) );
+ // Prepare a front graph
+ unsigned long N = this->m_Collisions.size( );
+ _TMatrix dist( N, _TRow( N, _inf ) );
this->m_FrontPaths = dist;
-
- for( unsigned long i = 0; i < nSeeds; ++i )
+ for( unsigned long i = 0; i < N; ++i )
{
- for( unsigned long j = 0; j < nSeeds; ++j )
+ for( unsigned long j = 0; j < N; ++j )
{
if( this->m_Collisions[ i ][ j ].second )
{
this->m_FrontPaths[ i ][ i ] = i;
} // rof
- for( unsigned long k = 0; k < nSeeds; ++k )
+
+ // Use Floyd-Warshall to compute all possible paths between fronts
+ for( unsigned long k = 0; k < N; ++k )
{
- for( unsigned long i = 0; i < nSeeds; ++i )
+ for( unsigned long i = 0; i < N; ++i )
{
- for( unsigned long j = 0; j < nSeeds; ++j )
+ for( unsigned long j = 0; j < N; ++j )
{
- if( ( dist[ i ][ k ] + dist[ k ][ j ] ) < dist[ i ][ j ] )
+ // WARNING: you don't want a numeric overflow!!!
+ unsigned long dik = dist[ i ][ k ];
+ unsigned long dkj = dist[ k ][ j ];
+ unsigned long sum = _inf;
+ if( dik < _inf && dkj < _inf )
+ sum = dik + dkj;
+
+ // Ok, continue Floyd-Warshall
+ if( sum < dist[ i ][ j ] )
{
- dist[ i ][ j ] = dist[ i ][ k ] + dist[ k ][ j ];
+ dist[ i ][ j ] = sum;
this->m_FrontPaths[ i ][ j ] = this->m_FrontPaths[ i ][ k ];
} // fi
}
// -------------------------------------------------------------------------
-template< class V, class B >
-std::vector< V > fpa::Base::MinimumSpanningTree< V, B >::
-GetPath( const V& a, const V& b ) const
+template< class _TVertex, class _Superclass >
+void fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+ClearSeeds( )
{
- std::vector< V > path;
- typename TDecorated::const_iterator aIt = this->Get( ).find( a );
- typename TDecorated::const_iterator bIt = this->Get( ).find( b );
+ this->m_Seeds.clear( );
+ this->Modified( );
+}
- if( aIt == this->Get( ).end( ) || bIt == this->Get( ).end( ) )
- return( path );
-
- short fa = aIt->second.second;
- short fb = bIt->second.second;
+// -------------------------------------------------------------------------
+template< class _TVertex, class _Superclass >
+void fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+AddSeed( const _TVertex& seed )
+{
+ this->m_Seeds.push_back( seed );
+ this->Modified( );
+}
- if( fa == fb )
+// -------------------------------------------------------------------------
+template< class _TVertex, class _Superclass >
+typename fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+TVertices fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+GetPath( const _TVertex& a ) const
+{
+ TVertices vertices;
+ _TVertex it = a;
+ _TVertex p = this->GetParent( it );
+ while( it != p )
{
- std::vector< V > ap, bp;
- this->_Path( ap, a );
- this->_Path( bp, b );
-
- // Ignore common part
- typename std::vector< V >::const_reverse_iterator raIt, rbIt;
- raIt = ap.rbegin( );
- rbIt = bp.rbegin( );
- while( *raIt == *rbIt && raIt != ap.rend( ) && rbIt != bp.rend( ) )
- {
- ++raIt;
- ++rbIt;
-
- } // elihw
- if( raIt != ap.rbegin( ) ) --raIt;
- if( rbIt != bp.rbegin( ) ) --rbIt;
-
- // Add part from a
- typename std::vector< V >::const_iterator iaIt = ap.begin( );
- for( ; iaIt != ap.end( ) && *iaIt != *raIt; ++iaIt )
- path.push_back( *iaIt );
-
- // Add part from b
- for( ; rbIt != bp.rend( ); ++rbIt )
- path.push_back( *rbIt );
- }
- else
+ vertices.push_back( it );
+ it = p;
+ p = this->GetParent( it );
+
+ } // elihw
+ vertices.push_back( it );
+ return( vertices );
+}
+
+// -------------------------------------------------------------------------
+template< class _TVertex, class _Superclass >
+typename fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+TVertices fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
+GetPath( const _TVertex& a, const _TVertex& b ) const
+{
+ static const unsigned long _inf =
+ std::numeric_limits< unsigned long >::max( );
+
+ TVertices vertices;
+ TVertices pa = this->GetPath( a );
+ TVertices pb = this->GetPath( b );
+ if( pa.size( ) > 0 && pb.size( ) > 0 )
{
- // Use this->m_FrontPaths from Floyd-Warshall
- if( this->m_FrontPaths[ fa ][ fb ] != Self::INF_VALUE )
+ // Find front identifiers
+ unsigned long ia = _inf, ib = _inf;
+ unsigned long N = this->m_Seeds.size( );
+ for( unsigned long i = 0; i < N; ++i )
+ {
+ if( this->m_Seeds[ i ] == pa[ pa.size( ) - 1 ] )
+ ia = i;
+ if( this->m_Seeds[ i ] == pb[ pb.size( ) - 1 ] )
+ ib = i;
+
+ } // rof
+
+ // Check if there is a front-jump between given seeds
+ if( ia != ib )
{
// Compute front path
std::vector< long > fpath;
- fpath.push_back( fa );
- while( fa != fb )
+ fpath.push_back( ia );
+ while( ia != ib )
{
- fa = this->m_FrontPaths[ fa ][ fb ];
- fpath.push_back( fa );
+ ia = this->m_FrontPaths[ ia ][ ib ];
+ fpath.push_back( ia );
} // elihw
// Continue only if both fronts are connected
unsigned int N = fpath.size( );
- if( 0 < N )
+ if( N > 0 )
{
// First path: from start vertex to first collision
- path = this->GetPath(
- a, this->m_Collisions[ fpath[ 0 ] ][ fpath[ 1 ] ].first
+ vertices = this->GetPath(
+ a, this->m_Collisions[ fpath[ 1 ] ][ fpath[ 0 ] ].first
);
// Intermediary paths
for( unsigned int i = 1; i < N - 1; ++i )
{
- std::vector< V > ipath =
+ TVertices ipath =
this->GetPath(
this->m_Collisions[ fpath[ i ] ][ fpath[ i - 1 ] ].first,
this->m_Collisions[ fpath[ i ] ][ fpath[ i + 1 ] ].first
);
- path.insert( path.end( ), ipath.begin( ), ipath.end( ) );
+ for( long id = 0; id < ipath.size( ); ++id )
+ vertices.push_back( ipath[ id ] );
} // rof
// Final path: from last collision to end point
- std::vector< V > lpath =
+ TVertices lpath =
this->GetPath(
- this->m_Collisions[ fpath[ N - 1 ] ][ fpath[ N - 2 ] ].first, b
+ this->m_Collisions[ fpath[ N - 2 ] ][ fpath[ N - 1 ] ].first, b
);
- path.insert( path.end( ), lpath.begin( ), lpath.end( ) );
+ for( long id = 0; id < lpath.size( ); ++id )
+ vertices.push_back( lpath[ id ] );
} // fi
-
- } // fi
-
- } // fi
- return( path );
-}
-
-// -------------------------------------------------------------------------
-template< class V, class B >
-template< class I >
-std::vector< typename I::PointType > fpa::Base::MinimumSpanningTree< V, B >::
-GetPathFromImage(
- const V& a, const V& b,
- const I* image, unsigned int kernel
- ) const
-{
- typedef typename I::PointType _P;
-
- std::vector< _P > path;
- std::vector< V > vertices = this->GetPath( a, b );
- for( unsigned int i = 0; i < vertices.size( ); ++i )
- {
- _P p;
- image->TransformIndexToPhysicalPoint( vertices[ i ], p );
- path.push_back( p );
-
- } // rof
-
- // Lowpass filter
- if( kernel > 0 )
- {
- int k = int( kernel ) >> 1;
- std::vector< _P > lowpass_path;
- for( unsigned int i = 0; i < path.size( ); ++i )
+ }
+ else
{
- _P p;
- p.Fill( ( typename _P::ValueType )( 0 ) );
- unsigned int c = 0;
- for( int j = -k; j <= k; ++j )
+ // Ignore common part: find common ancestor
+ long aIt = pa.size( ) - 1;
+ long bIt = pb.size( ) - 1;
+ bool cont = true;
+ while( aIt >= 0 && bIt >= 0 && cont )
{
- int l = int( i ) + j;
- if( l >= 0 && l < path.size( ) )
- {
- p += path[ l ].GetVectorFromOrigin( );
- c++;
+ cont = ( pa[ aIt ] == pb[ bIt ] );
+ aIt--;
+ bIt--;
- } // fi
-
- } // rof
- if( c > 0 )
- for( unsigned int d = 0; d < _P::PointDimension; ++d )
- p[ d ] /= ( typename _P::ValueType )( c );
- lowpass_path.push_back( p );
+ } // elihw
+ aIt++;
+ bIt++;
- } // rof
+ // Glue both parts
+ for( long cIt = 0; cIt <= aIt; ++cIt )
+ vertices.push_back( pa[ cIt ] );
+ for( ; bIt >= 0; --bIt )
+ vertices.push_back( pb[ bIt ] );
- path = lowpass_path;
+ } // fi
} // fi
- return( path );
+ return( vertices );
}
// -------------------------------------------------------------------------
-template< class V, class B >
-fpa::Base::MinimumSpanningTree< V, B >::
+template< class _TVertex, class _Superclass >
+fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
MinimumSpanningTree( )
: Superclass( )
{
}
// -------------------------------------------------------------------------
-template< class V, class B >
-fpa::Base::MinimumSpanningTree< V, B >::
+template< class _TVertex, class _Superclass >
+fpa::Base::MinimumSpanningTree< _TVertex, _Superclass >::
~MinimumSpanningTree( )
{
}
-// -------------------------------------------------------------------------
-template< class V, class B >
-void fpa::Base::MinimumSpanningTree< V, B >::
-_Path( std::vector< V >& path, const V& a ) const
-{
- typename TDecorated::const_iterator dIt = this->Get( ).find( a );
- if( dIt != this->Get( ).end( ) )
- {
- do
- {
- path.push_back( dIt->first );
- dIt = this->Get( ).find( dIt->second.first );
-
- } while( dIt->first != dIt->second.first && dIt != this->Get( ).end( ) );
-
- if( dIt != this->Get( ).end( ) )
- path.push_back( dIt->first );
-
- } // fi
-}
-
-#endif // __FPA__BASE__MINIMUMSPANNINGTREE__HXX__
+#endif // __fpa__Base__MinimumSpanningTree__hxx__
// eof - $RCSfile$
git://git.creatis.insa-lyon.fr / FrontAlgorithms.git / blobdiff