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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 "itkPointSet.h"
#include "itkBSplineScatteredDataPointSetToImageFilter.h"
/**
* In this test, we approximate a sequence of 3D points with a
* parametric curve described by B-Splines. Specifically, we
* create 3-D trefoil knot parametric surface:
* https://en.wikipedia.org/wiki/Trefoil_knot
* which is closed in both parametric dimensions.
*/
int
itkBSplineScatteredDataPointSetToImageFilterTest5( int, char * [] )
{
const unsigned int ParametricDimension = 2;
const unsigned int DataDimension = 3;
typedef double RealType;
typedef itk::Vector<RealType, DataDimension> VectorType;
typedef itk::Image<VectorType, ParametricDimension> ImageType;
typedef itk::PointSet<VectorType, ParametricDimension> PointSetType;
PointSetType::Pointer pointSet = PointSetType::New();
std::cout << "Input Data" << std::endl;
// Sample the trefoil knot.
// The first parametric dimension, u, is doing the knot part
// whereas the second dimension, v, is going around in a simple circle.
for( RealType u = -2.0 * itk::Math::pi; u <= 2.0 * itk::Math::pi; u += 0.1 )
{
for( RealType v = -itk::Math::pi; v <= itk::Math::pi; v += 0.1 )
{
PointSetType::PointType point;
point[0] = ( u + 2.0 * itk::Math::pi ) / ( 4.0 * itk::Math::pi );
point[1] = ( v + itk::Math::pi ) / ( 2.0 * itk::Math::pi );
unsigned long i = pointSet->GetNumberOfPoints();
pointSet->SetPoint( i, point );
VectorType V;
V[0] = std::cos( u ) * std::cos( v ) + 3.0 * std::cos( u ) * ( 1.5 + 0.5 * std::sin( 1.5 * u ) );
V[1] = std::sin( u ) * std::cos( v ) + 3.0 * std::sin( u ) * ( 1.5 + 0.5 * std::sin( 1.5 * u ) );
V[2] = std::sin( v ) + 2.0 * std::cos( 1.5 * u );
pointSet->SetPointData( i, V );
}
}
// Instantiate the filter and set the parameters
typedef itk::BSplineScatteredDataPointSetToImageFilter
<PointSetType, ImageType> FilterType;
FilterType::Pointer filter = FilterType::New();
// Define the parametric domain
ImageType::SpacingType spacing;
spacing[0] = 0.001;
spacing[1] = 0.01;
filter->SetSpacing( spacing );
ImageType::SizeType size;
size[0] = 1000;
size[1] = 100;
ImageType::PointType origin;
origin.Fill( 0.0 );
filter->SetSize( size );
filter->SetOrigin( origin );
filter->SetSpacing( spacing );
filter->SetInput( pointSet );
filter->SetSplineOrder( 3 );
FilterType::ArrayType ncps;
ncps[0] = 7;
ncps[1] = 10;
filter->SetNumberOfControlPoints( ncps );
filter->SetNumberOfLevels( 4 );
filter->SetGenerateOutputImage( false );
FilterType::ArrayType close;
close.Fill( 1 );
filter->SetCloseDimension( close );
try
{
filter->Update();
}
catch ( itk::ExceptionObject & excp )
{
std::cerr << excp << std::endl;
return EXIT_FAILURE;
}
return EXIT_SUCCESS;
}
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