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/*=========================================================================
*
* Copyright UMC Utrecht and contributors
*
* 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 "itkBSplineInterpolationDerivativeWeightFunction.h"
#include <ctime>
#include <iomanip>
//-------------------------------------------------------------------------------------
int
main( int argc, char * argv[] )
{
/** Some basic type definitions.
* NOTE: don't change the dimension or the spline order, since the
* hard-coded ground truth depends on this.
*/
const unsigned int Dimension = 2;
const unsigned int SplineOrder = 3;
typedef float CoordinateRepresentationType;
const double distance = 1e-3; // the allowable distance
//const double allowedTimeDifference = 0.1; // 10% is considered within limits
/** The number of calls to Evaluate(). This number gives reasonably
* fast test results in Release mode.
*/
unsigned int N = static_cast< unsigned int >( 1e7 );
/** Other typedefs. */
typedef itk::BSplineInterpolationDerivativeWeightFunction<
CoordinateRepresentationType,
Dimension, SplineOrder > DerivativeWeightFunctionType;
typedef DerivativeWeightFunctionType::ContinuousIndexType ContinuousIndexType;
typedef DerivativeWeightFunctionType::WeightsType WeightsType;
/**
* *********** TESTING ***********************************************
*/
std::cerr << "TESTING:\n" << std::endl;
/** Construct several weight functions. */
DerivativeWeightFunctionType::Pointer foWeightFunction
= DerivativeWeightFunctionType::New();
/** Create and fill a continuous index.
* NOTE: don't change this, since the hard-coded ground truth depends on this.
*/
ContinuousIndexType cindex;
cindex[ 0 ] = 3.1f;
cindex[ 1 ] = -2.2f;
foWeightFunction->SetDerivativeDirection( 0 );
/** Run evaluate for the first order derivative. */
WeightsType foWeights = foWeightFunction->Evaluate( cindex );
std::cerr << "weights (1st order) " << foWeights << std::endl;
/** Hard-code the ground truth. You should change this if you change the
* spline order.
*
* x1 = 3.1 -> support y1 = 2 3 4 5 -> x1 - y1 = 1.1 0.1 -0.9 -1.9
* x2 = -2.2 -> support y2 = -4 -3 -3 -1 -> x2 - y2 = 1.8 0.8 -0.2 -1.2
*
* B3 is the third order B-spline. ?etc means repeat ? for ever.
* The coefficients are [ B2(x1-y1i+1/2)-B2(x1-y1i-1/2) ] * B3(x2-y2j):
*
* B3d( 1.1 ) = -0.405
* B3d( 0.1 ) = -0.185
* B3d( -0.9 ) = 0.585
* B3d( -1.9 ) = 0.005
* B3 ( 1.8 ) = 0.0013etc
* B3 ( 0.8 ) = 0.2826etc
* B3 ( -0.2 ) = 0.6306etc
* B3 ( -1.2 ) = 0.0853etc
*
* -> i
* -5.4e-4 -2.46/e-4 7.8e-4 6.6/e-6
* | -0.11448 -5.2293/e-2 0.16536 1.413/e-3
* j -0.25542 -0.116673/ 0.36894 3.153/e-3
* -0.03456 -0.015786/ 0.04992 4.26/e-4
*
* These numbers are created by a small Matlab program. So, if this appears
* to be not a valid check, then we made the same bug twice.
*/
WeightsType trueFOWeights( 16 );
trueFOWeights.Fill( 0.0 );
trueFOWeights[ 0 ] = -5.400000000000e-4;
trueFOWeights[ 1 ] = -2.466666666666e-4;
trueFOWeights[ 2 ] = 7.800000000000e-4;
trueFOWeights[ 3 ] = 6.666666666666e-6;
trueFOWeights[ 4 ] = -1.144800000000e-1;
trueFOWeights[ 5 ] = -5.229333333333e-2;
trueFOWeights[ 6 ] = 1.653600000000e-1;
trueFOWeights[ 7 ] = 1.413333333333e-3;
trueFOWeights[ 8 ] = -2.554200000000e-1;
trueFOWeights[ 9 ] = -1.166733333333e-1;
trueFOWeights[ 10 ] = 3.689400000000e-1;
trueFOWeights[ 11 ] = 3.153333333333e-3;
trueFOWeights[ 12 ] = -3.456000000000e-2;
trueFOWeights[ 13 ] = -1.578666666666e-2;
trueFOWeights[ 14 ] = 4.992000000000e-2;
trueFOWeights[ 15 ] = 4.266666666666e-4;
/** Compute the distance between the two vectors. */
double error = 0.0;
for( unsigned int i = 0; i < foWeights.Size(); ++i )
{
error += vnl_math::sqr( foWeights[ i ] - trueFOWeights[ i ] );
}
error = std::sqrt( error );
/** TEST: Compare the two qualitatively. */
if( error > distance )
{
std::cerr << "ERROR: the first order weights differs more than "
<< distance << " from the truth." << std::endl;
return 1;
}
std::cerr << std::showpoint;
std::cerr << std::scientific;
std::cerr << std::setprecision( 4 );
std::cerr << "The distance is: " << error << std::endl;
/** Time the fo implementation. */
clock_t startClock = clock();
for( unsigned int i = 0; i < N; ++i )
{
foWeightFunction->Evaluate( cindex );
}
clock_t endClock = clock();
clock_t clockITK = endClock - startClock;
std::cerr << "The elapsed time for the 1st order derivative is: "
<< clockITK << std::endl;
/**
* *********** Function TESTING ****************************************
*/
std::cerr << "\n--------------------------------------------------------";
std::cerr << "\nFunction TESTING:\n" << std::endl;
/** Just call all available public functions. */
DerivativeWeightFunctionType::IndexType startIndex;
DerivativeWeightFunctionType::IndexType trueStartIndex;
trueStartIndex[ 0 ] = 2;
trueStartIndex[ 1 ] = -4;
foWeightFunction->ComputeStartIndex( cindex, startIndex );
if( startIndex != trueStartIndex )
{
std::cerr << "ERROR: wrong start index was computed." << std::endl;
return 1;
}
DerivativeWeightFunctionType::SizeType trueSize;
trueSize.Fill( SplineOrder + 1 );
if( foWeightFunction->GetSupportSize() != trueSize )
{
std::cerr << "ERROR: wrong support size was computed." << std::endl;
return 1;
}
if( foWeightFunction->GetNumberOfWeights()
!= static_cast< unsigned long >( std::pow(
static_cast< float >( SplineOrder + 1 ), 2.0f ) ) )
{
std::cerr << "ERROR: wrong number of weights was computed." << std::endl;
return 1;
}
std::cerr << "All public functions returned valid output." << std::endl;
/**
* *********** PrintSelf TESTING ****************************************
*/
std::cerr << "\n--------------------------------------------------------";
std::cerr << "\nPrintSelf() TESTING:\n" << std::endl;
foWeightFunction->Print( std::cerr, 0 );
/** Return a value. */
return 0;
} // end main
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