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/*========================================================================= |
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Program: Insight Segmentation & Registration Toolkit |
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Module: $RCSfile: itkFourierSeriesPath.txx.html,v $ |
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Language: C++ |
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Date: $Date: 2006/01/17 19:15:36 $ |
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Version: $Revision: 1.4 $ |
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Copyright (c) Insight Software Consortium. All rights reserved. |
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See ITKCopyright.txt or http://www.itk.org/HTML/Copyright.htm for details. |
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This software is distributed WITHOUT ANY WARRANTY; without even |
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the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR |
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PURPOSE. See the above copyright notices for more information. |
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=========================================================================*/ |
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DEF |
#ifndef _itkFourierSeriesPath_txx |
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DEF |
#define _itkFourierSeriesPath_txx |
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#include "itkFourierSeriesPath.h" |
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#include <math.h> |
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// not all versions of math.h seem to define M_PI: |
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#ifndef M_PI |
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#define M_PI 3.14159265358979323846 |
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#endif |
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EML |
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namespace itk |
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{ |
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template<unsigned int VDimension> |
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typename FourierSeriesPath<VDimension>::OutputType |
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FourierSeriesPath<VDimension> |
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::Evaluate( const InputType & input ) const |
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{ |
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InputType theta; |
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OutputType output; |
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int numHarmonics; |
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numHarmonics = m_CosCoefficients->Size(); |
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output.Fill(0); |
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if( numHarmonics > 0 ) { output += m_CosCoefficients->ElementAt(0); } |
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for(int n=1; n<numHarmonics; n++) |
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{ |
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// input defined over [0,1] maps to theta defined over [0,2pi * n] |
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theta = M_PI*2.0*n*input; |
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output += ( m_CosCoefficients->ElementAt(n) * cos(theta) + |
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IND |
****************m_SinCoefficients->ElementAt(n) * sin(theta) ) * 2.0; |
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} |
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return output; |
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} |
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EML |
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template<unsigned int VDimension> |
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typename FourierSeriesPath<VDimension>::VectorType |
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FourierSeriesPath<VDimension> |
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::EvaluateDerivative(const InputType & input) const |
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{ |
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InputType theta; |
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VectorType output; |
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int numHarmonics; |
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numHarmonics = m_CosCoefficients->Size(); |
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output.Fill(0); |
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for(int n=1; n<numHarmonics; n++) |
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{ |
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// input defined over [0,1] maps to theta defined over [0,2pi * n] |
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theta = M_PI*2.0*n*input; |
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output += ( m_SinCoefficients->ElementAt(n) * cos(theta) - |
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****************m_CosCoefficients->ElementAt(n) * sin(theta) ) * (2.0 * n); |
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} |
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return output; |
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} |
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EML |
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template<unsigned int VDimension> |
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void |
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FourierSeriesPath<VDimension> |
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::AddHarmonic( const VectorType & CosCoefficients, |
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const VectorType & SinCoefficients ) |
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{ |
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unsigned int numHarmonics = m_CosCoefficients->Size(); |
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m_CosCoefficients->InsertElement(numHarmonics, CosCoefficients); |
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m_SinCoefficients->InsertElement(numHarmonics, SinCoefficients); |
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this->Modified(); |
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} |
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EML |
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/** |
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* Constructor |
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*/ |
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template <unsigned int VDimension> |
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FourierSeriesPath<VDimension> |
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::FourierSeriesPath() |
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{ |
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this->SetDefaultInputStepSize( 1.0/50.0 ); |
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m_CosCoefficients = CoefficientsType::New(); |
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m_SinCoefficients = CoefficientsType::New(); |
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} |
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EML |
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/** |
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* Standard "PrintSelf" method |
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*/ |
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template <unsigned int VDimension> |
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void |
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FourierSeriesPath<VDimension> |
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::PrintSelf( std::ostream& os, Indent indent) const |
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{ |
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Superclass::PrintSelf( os, indent ); |
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os << indent << "Cos Coefficients: " << m_CosCoefficients << std::endl; |
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os << indent << "Sin Coefficients: " << m_SinCoefficients << std::endl; |
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} |
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EML |
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} // end namespaceitk |
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#endif |
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