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/*=========================================================================
*
* Copyright Insight Software Consortium
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0.txt
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
*=========================================================================*/
#include "itkSimplexMeshGeometry.h"
#include "itkMath.h"
#include "vxl_version.h"
#if VXL_VERSION_DATE_FULL > 20040406
#include "vnl/vnl_cross.h"
#define cross_3d vnl_cross_3d
#endif
namespace itk
{
SimplexMeshGeometry
::SimplexMeshGeometry()
{
double c = 1.0 / 3.0;
PointType p;
p.Fill(0.0);
pos.Fill(0);
oldPos.Fill(0);
referenceMetrics.Fill(c);
eps.Fill(c);
normal.Fill(0);
externalForce.Fill(0);
internalForce.Fill(0);
closestAttractor.Fill(0);
circleRadius = 0;
circleCenter.Fill(0);
sphereRadius = 0;
distance = 0;
phi = 0;
multiplier = 0.0;
forceIndex = 0;
neighborIndices.Fill( NumericTraits< IdentifierType >::max() );
neighbors.Fill(p);
meanCurvature = c;
neighborSet = ITK_NULLPTR;
closestAttractorIndex = 0;
}
SimplexMeshGeometry
::~SimplexMeshGeometry()
{
delete this->neighborSet;
this->neighborSet = ITK_NULLPTR;
}
void
SimplexMeshGeometry
::ComputeGeometry()
{
VectorType b, c, cXb, tmp;
//compute the circum circle (center and radius)
b = this->neighbors[2] - this->neighbors[0];
c = this->neighbors[1] - this->neighbors[0];
cXb.SetVnlVector( cross_3d< double >( c.GetVnlVector(), b.GetVnlVector() ) );
tmp.SetVnlVector( b.GetSquaredNorm()
* cross_3d< double >( cXb.GetVnlVector(), c.GetVnlVector() )
+ c.GetSquaredNorm()
* cross_3d< double >( b.GetVnlVector(), cXb.GetVnlVector() ) );
double cXbSquaredNorm = 2 * cXb.GetSquaredNorm();
circleRadius = tmp.GetNorm() / ( cXbSquaredNorm );
tmp[0] /= ( cXbSquaredNorm );
tmp[1] /= ( cXbSquaredNorm );
tmp[2] /= ( cXbSquaredNorm );
circleCenter = this->neighbors[0] + tmp;
// Compute the circum sphere (center and radius) of a point
VectorType d, dXc, bXd, sphereTmp, denom;
d = pos - this->neighbors[0];
dXc.SetVnlVector( cross_3d< double >( d.GetVnlVector(), c.GetVnlVector() ) );
bXd.SetVnlVector( cross_3d< double >( b.GetVnlVector(), d.GetVnlVector() ) );
sphereTmp.SetVnlVector( d.GetSquaredNorm() * cXb.GetVnlVector()
+ b.GetSquaredNorm() * dXc.GetVnlVector()
+ c.GetSquaredNorm() * bXd.GetVnlVector() );
double val = 2 * ( c[0] * ( b[1] * d[2] - b[2] * d[1] )
- c[1] * ( b[0] * d[2] - b[2] * d[0] )
+ c[2] * ( b[0] * d[1] - b[1] * d[0] ) );
// fix for points which lay on their neighbors plane
// necessary ??
if (Math::AlmostEquals( val, 0.0 ))
{
val = 1.0; // itkAssertInDebugAndIgnoreInReleaseMacro (val != 0 );
}
sphereRadius = sphereTmp.GetNorm() / val;
if ( sphereRadius < 0 )
{
sphereRadius = -1 * sphereRadius;
}
}
void
SimplexMeshGeometry::
CopyFrom( const SimplexMeshGeometry & input )
{
for( unsigned int i = 0; i < 3; i++ )
{
this->neighborIndices[i] = input.neighborIndices[i];
this->neighbors[i] = input.neighbors[i];
}
this->meanCurvature = input.meanCurvature;
this->pos = input.pos;
this->oldPos = input.oldPos;
this->eps = input.eps;
this->referenceMetrics = input.referenceMetrics;
this->normal = input.normal;
this->externalForce = input.externalForce;
this->internalForce = input.internalForce;
this->closestAttractor = input.closestAttractor;
this->closestAttractorIndex = input.closestAttractorIndex;
this->circleRadius = input.circleRadius;
this->circleCenter = input.circleCenter;
this->sphereRadius = input.sphereRadius;
// this->sphereCenter = input.sphereCenter;
this->distance = input.distance;
this->phi = input.phi;
this->multiplier = input.multiplier;
this->forceIndex = input.forceIndex;
this->CopyNeigborSet( input.neighborSet );
}
void
SimplexMeshGeometry
::CopyNeigborSet( const NeighborSetType * nset )
{
delete this->neighborSet;
if( nset )
{
this->neighborSet = new NeighborSetType;
this->neighborSet->insert( nset->begin(), nset->end() );
}
else
{
this->neighborSet = ITK_NULLPTR;
}
}
} // end namespace itk
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