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pctSchulteMLPFunction.h
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pctSchulteMLPFunction.h
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#ifndef __pctSchulteMLPFunction_h
#define __pctSchulteMLPFunction_h
#include "CLHEP/Units/PhysicalConstants.h"
#include "pctMostLikelyPathFunction.h"
namespace pct
{
namespace Functor
{
namespace SchulteMLP
{
static const double aunit = 1./(CLHEP::MeV*CLHEP::MeV);
#define RIT_COEFF
#if defined(WILLIAMS_COEFF) // Were apparently .01 off
static const double a0 = 7.507e-4 * aunit;
static const double a1 = 3.320e-5 * aunit / (CLHEP::cm);
static const double a2 = -4.171e-7 * aunit / (CLHEP::cm2);
static const double a3 = 4.488e-7 * aunit / (CLHEP::cm3);
static const double a4 = -3.739e-8 * aunit / (CLHEP::cm3 * CLHEP::cm);
static const double a5 = 1.455e-9 * aunit / (CLHEP::cm3 * CLHEP::cm2);
#elif defined(SCHULTE_COEFF)
static const double a0 = 7.457e-06 * aunit;
static const double a1 = 4.548e-07 * aunit / (CLHEP::cm);
static const double a2 = -5.777e-08 * aunit / (CLHEP::cm2);
static const double a3 = 1.301e-08 * aunit / (CLHEP::cm3);
static const double a4 = -9.228e-10 * aunit / (CLHEP::cm3 * CLHEP::cm);
static const double a5 = 2.687e-11 * aunit / (CLHEP::cm3 * CLHEP::cm2);
#elif defined(RIT_COEFF)
static const double a0 = 7.444724e-06 * aunit;
static const double a1 = 5.463937e-07 * aunit / (CLHEP::cm);
static const double a2 = -9.986645e-08 * aunit / (CLHEP::cm2);
static const double a3 = 2.026409e-08 * aunit / (CLHEP::cm3);
static const double a4 = -1.420501e-09 * aunit / (CLHEP::cm3 * CLHEP::cm);
static const double a5 = 3.899100e-11 * aunit / (CLHEP::cm3 * CLHEP::cm2);
#elif defined(NICO_COEFF)
static const double a0 = 3.599e-06 * aunit;
static const double a1 = 7.303e-08 * aunit / (CLHEP::cm);
static const double a2 = 2.419e-09 * aunit / (CLHEP::cm2);
static const double a3 = -4.216e-11 * aunit / (CLHEP::cm3);
static const double a4 = 1.601e-12 * aunit / (CLHEP::cm3 * CLHEP::cm);
static const double a5 = 1.467e-13 * aunit / (CLHEP::cm3 * CLHEP::cm2);
#elif defined(KRAH_COEFF_180MEV)
static const double a0 = 6.576282e-06 * aunit;
static const double a1 = 5.202820e-06 * aunit / (CLHEP::cm);
static const double a2 = -2.017266e-06 * aunit / (CLHEP::cm2);
static const double a3 = 3.289456e-07 * aunit / (CLHEP::cm3);
static const double a4 = -2.215321e-08 * aunit / (CLHEP::cm3 * CLHEP::cm);
static const double a5 = 5.398933e-10 * aunit / (CLHEP::cm3 * CLHEP::cm2);
#endif
// [Schulte, Med Phys, 2008], constant part of equations 7, 8 and 9
class ConstantPartOfIntegrals
{
public:
static double GetValue(const double ux, const double uy)
{
// Constant out of integral, use [Schulte, 2008] and not [Williams, 2004]
static const double c = 13.6*CLHEP::MeV * 13.6*CLHEP::MeV / (36.1*CLHEP::cm);
static const double invX0 = 1./(36.1*CLHEP::cm);
double diffU = uy-ux;
if(diffU<1e-3) diffU = 1e-3 * CLHEP::mm; // avoid divergence of log for small values
double v = 1.+0.038*std::log((diffU)*invX0);
return c*v*v;
}
};
// [Schulte, Med Phys, 2008], integral for sigma in equation 8
class IntegralForSigmaSqTheta
{
public:
static double GetValue(const double u)
{
// Multiplied with polynomial integral
// Table 2, (a) in [Williams, 2004] as well as numbers in [Li, 2006]
static const double a0Theta = a0;
static const double a1Theta = a1 / 2.;
static const double a2Theta = a2 / 3.;
static const double a3Theta = a3 / 4.;
static const double a4Theta = a4 / 5.;
static const double a5Theta = a5 / 6.;
return u*(a0Theta+u*(a1Theta+u*(a2Theta+u*(a3Theta+u*(a4Theta+u*a5Theta)))));
}
};
// [Schulte, Med Phys, 2008], integral for sigma in equation 9
class IntegralForSigmaSqTTheta
{
public:
static double GetValue(const double u)
{
// Multiplied with polynomial integral
// Table 2, (a) in [Williams, 2004] as well as numbers in [Li, 2006]
static const double a0TTheta = a0 / 2.;
static const double a1TTheta = a1 / 3.;
static const double a2TTheta = a2 / 4.;
static const double a3TTheta = a3 / 5.;
static const double a4TTheta = a4 / 6.;
static const double a5TTheta = a5 / 7.;
return u*u*(a0TTheta+u*(a1TTheta+u*(a2TTheta+u*(a3TTheta+u*(a4TTheta+u*a5TTheta)))));
}
};
// [Schulte, Med Phys, 2008], integral for sigma in equation 7
class IntegralForSigmaSqT
{
public:
static double GetValue(const double u)
{
// Multiplied with polynomial integral
// Table 2, (a) in [Williams, 2004] as well as numbers in [Li, 2006]
static const double a0T = a0 / 3.;
static const double a1T = a1 / 4.;
static const double a2T = a2 / 5.;
static const double a3T = a3 / 6.;
static const double a4T = a4 / 7.;
static const double a5T = a5 / 8.;
return u*u*u*(a0T+u*(a1T+u*(a2T+u*(a3T+u*(a4T+u*a5T)))));
}
};
} // end namespace SchulteMLP
} // end namespace Functor
/** \class SchulteMLPFunction
* \brief See [Schulte, Med Phys, 2008].
*
* \ingroup Functions
*/
class ITK_EXPORT SchulteMLPFunction:
public MostLikelyPathFunction<double>
{
public:
/** Standard class typedefs. */
typedef SchulteMLPFunction Self;
typedef MostLikelyPathFunction<double> Superclass;
typedef itk::SmartPointer<Self> Pointer;
typedef itk::SmartPointer<const Self> ConstPointer;
/** Method for creation through the object factory. */
itkNewMacro(Self);
/** Useful defines. */
typedef Superclass::VectorType VectorType;
/** Init the mlp parameters from the input and output directions and positions. */
virtual void Init(const VectorType posIn, const VectorType posOut, const VectorType dirIn, const VectorType dirOut) override;
/** Init with additional parameters to consider tracker uncertainties */
virtual void InitUncertain(const VectorType posIn, const VectorType posOut, const VectorType dirIn, const VectorType dirOut, double dEntry, double dExit, double TrackerResolution, double TrackerPairSpacing, double MaterialBudget) override;
/** Evaluate the coordinates (x,y) at depth u1. */
virtual void Evaluate( const double u1, double &x, double &y, double &dx, double &dy ) override;
/** Evaluate the error (x,y) (equation 27) at depth z. */
void EvaluateError( const double u1, itk::Matrix<double, 2, 2> &error);
#ifdef MLP_TIMING
/** Print timing information */
virtual void PrintTiming(std::ostream& os) override;
#endif
protected:
/// Implementation of 2x2 matrix inversion, faster than itk/vnl inversion
void InverseMatrix(itk::Matrix<double, 2, 2> &mat);
/// Constructor
SchulteMLPFunction();
/// Destructor
~SchulteMLPFunction(){}
private:
SchulteMLPFunction( const Self& ); //purposely not implemented
void operator=( const Self& ); //purposely not implemented
// Depth position at entrance and exit, only u1 is variable
double m_uOrigin;
double m_u0;
double m_u2;
// Entrance and exit parameters (equation 1)
itk::Vector<double, 2> m_x0;
itk::Vector<double, 2> m_x2;
itk::Vector<double, 2> m_y0;
itk::Vector<double, 2> m_y2;
// Part of the rotation matrices which is constant for the trajectory
itk::Matrix<double, 2, 2> m_R0;
itk::Matrix<double, 2, 2> m_R1;
itk::Matrix<double, 2, 2> m_R0T;
itk::Matrix<double, 2, 2> m_R1T;
// Scattering matrices
itk::Matrix<double, 2, 2> m_Sigma1;
itk::Matrix<double, 2, 2> m_Sigma2;
bool m_considerTrackerUncertainties;
// Addtional matrices needed for MLP with tracker uncertainties
itk::Matrix<double, 2, 2> m_SigmaIn;
itk::Matrix<double, 2, 2> m_SigmaOut;
itk::Matrix<double, 2, 2> m_Sin;
itk::Matrix<double, 2, 2> m_SinT;
itk::Matrix<double, 2, 2> m_Sout;
itk::Matrix<double, 2, 2> m_SoutT;
itk::Matrix<double, 2, 2> m_Sout_Inv;
itk::Matrix<double, 2, 2> m_SoutT_Inv;
// Part common to all positions along the trajectory
//double m_IntForSigmaSqTheta0; //Always 0. because m_u0=0.
//double m_IntForSigmaSqTTheta0; //Always 0. because m_u0=0.
//double m_IntForSigmaSqT0; //Always 0. because m_u0=0.
double m_IntForSigmaSqTheta2;
double m_IntForSigmaSqTTheta2;
double m_IntForSigmaSqT2;
#ifdef MLP_TIMING
itk::TimeProbe m_EvaluateProbe1;
itk::TimeProbe m_EvaluateProbe2;
#endif
};
} // end namespace pct
#include "pctSchulteMLPFunction.txx"
#endif