public static double[] SolveInverse(
IForwardSolver forwardSolver,
IOptimizer optimizer,
SolutionDomainType solutionDomainType,
double[] dependentValues,
double[] standardDeviationValues,
InverseFitType inverseFitType,
object[] independentValues,
double[] lowerBounds,
double[] upperBounds)
{
//var opticalPropertyGuess = ((OpticalProperties[]) (independentValues[0])).First();
//var fitParameters = new double[4] { opticalPropertyGuess.Mua, opticalPropertyGuess.Musp, opticalPropertyGuess.G, opticalPropertyGuess.N };
var parametersToFit = GetParametersToFit(inverseFitType);
var opticalPropertyGuess = (OpticalProperties[])(independentValues[0]);
var fitParametersArray = opticalPropertyGuess.SelectMany(opgi => new[] { opgi.Mua, opgi.Musp, opgi.G, opgi.N }).ToArray();
var parametersToFitArray = Enumerable.Range(0, opticalPropertyGuess.Count()).SelectMany(_ => parametersToFit).ToArray();
Func <double[], object[], double[]> func = GetForwardReflectanceFuncForOptimization(forwardSolver, solutionDomainType);
var fit = optimizer.SolveWithConstraints(fitParametersArray, parametersToFitArray, lowerBounds, upperBounds, dependentValues.ToArray(),
standardDeviationValues.ToArray(), func, independentValues.ToArray());
return(fit);
}
public static Complex[] ComputeFluenceComplex(
IForwardSolver forwardSolver,
FluenceSolutionDomainType solutionDomainType,
// keeping us from uniting the above. needs to be a single SolutionDomainType enum
IndependentVariableAxis[] independentAxesTypes,
double[][] independentValues,
OpticalProperties opticalProperties,
params double[] constantValues)
{
var parameters = new double[4]
{
opticalProperties.Mua, opticalProperties.Musp, opticalProperties.G,
opticalProperties.N
};
// todo: current assumption below is that the second axes is z. need to generalize
var func = GetForwardFluenceFuncComplex(forwardSolver, solutionDomainType, independentAxesTypes[0]);
// create a list of inputs (besides optical properties) that corresponds to the behavior of the function above
List <object> inputValues = new List <object>(independentValues);
constantValues.ForEach(cv => inputValues.Add(cv));
return(func(parameters, inputValues.ToArray()));
}
// Steady-State Domain...
///// <summary>
///// Steady-State centerline Photon Hitting Density by the Green's function multiplication
///// </summary>
///// <param name="ops">optical properties object</param>
///// <param name="rhos">Source Detector separation</param>
///// <param name="rProbe">Radial distance from source to "iterogation" location</param>
///// <param name="z">Depth being probed</param>
///// <returns>The Photon Hitting Density at specified location</returns>
//public IEnumerable<double> SteadyStatePointSourceCenterlinePHD(IEnumerable<OpticalProperties> ops, IEnumerable<double> rProbes,
// IEnumerable<double> rhos, IEnumerable<double> zs)
//{
// foreach (var op in ops)
// {
// DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
// foreach (var rProbe in rProbes)
// {
// foreach (var rho in rhos)
// {
// foreach (var z in zs)
// {
// var r11 = DiffusionBase.Radius1(rProbe, z, dp.zp);
// var r12 = DiffusionBase.Radius2(rProbe, z, dp.zp, dp.zb);
// var r21 = DiffusionBase.Radius1(rho - rProbe, z, 0.0);
// var r22 = DiffusionBase.Radius2(rho - rProbe, z, 0.0, dp.zb);
// var fluence1 = DiffusionBase.SteadyStatePointSourceImageGreensFunction(dp, r11, r12);
// var fluence2 = DiffusionBase.SteadyStatePointSourceImageGreensFunction(dp, r21, r22);
// yield return (fluence1 * fluence2);
// }
// }
// }
// }
//}
public static IEnumerable <Complex> TimeFrequencyDomainFluence2SurfacePointPHD(
this IForwardSolver myForwardSolver,
double timeModulationFrequency,
IEnumerable <OpticalProperties> ops,
IEnumerable <double> rhoPrimes, IEnumerable <double> zs)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
Complex k =
(
(op.Mua * dp.cn + Complex.ImaginaryOne * timeModulationFrequency * 2 * Math.PI) /
(dp.D * dp.cn)
).SquareRoot();
foreach (var rho in rhoPrimes)
{
foreach (var z in zs)
{
var r21 = CalculatorToolbox.GetRadius(rho, z);
var r22 = CalculatorToolbox.GetRadius(rho, z + 2 * dp.zb);
yield return
(DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(dp, r21, r22, k));
}
}
}
}
private static Func <double[], object[], double[]> GetForwardReflectanceFuncForOptimization(
IForwardSolver fs, SolutionDomainType type)
{
Func <object[], double[]> forwardReflectanceFunc = GetForwardReflectanceFunc(fs, type);
return((fitData, allParameters) =>
{
// place optical property array in the first position, and the rest following
var forwardData = ((object)UnFlattenOpticalProperties(fitData)).AsEnumerable().Concat(allParameters.Skip(1)).ToArray();
return forwardReflectanceFunc(forwardData);
});
}
private static Func <object[], double[]> GetForwardReflectanceFunc(IForwardSolver fs, SolutionDomainType type)
{
switch (type)
{
case SolutionDomainType.ROfRho:
if (fs is TwoLayerSDAForwardSolver) // todo: future generalization to IMultiRegionForwardSolver?
{
return(forwardData => fs.ROfRho((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1]));
}
return(forwardData => fs.ROfRho(ops: (OpticalProperties[])forwardData[0], rhos: (double[])forwardData[1]));
case SolutionDomainType.ROfFx:
if (fs is TwoLayerSDAForwardSolver)
{
return(forwardData => fs.ROfFx((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1]));
}
return(forwardData => fs.ROfFx(ops: (OpticalProperties[])forwardData[0], fxs: (double[])forwardData[1]));
case SolutionDomainType.ROfRhoAndTime:
if (fs is TwoLayerSDAForwardSolver)
{
return(forwardData => fs.ROfRhoAndTime((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1], (double[])forwardData[2]));
}
return(forwardData => fs.ROfRhoAndTime(ops: (OpticalProperties[])forwardData[0], rhos: (double[])forwardData[1], ts: (double[])forwardData[2]));
case SolutionDomainType.ROfFxAndTime:
if (fs is TwoLayerSDAForwardSolver)
{
return(forwardData => fs.ROfFxAndTime((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1], (double[])forwardData[2]));
}
return(forwardData => fs.ROfFxAndTime(ops: (OpticalProperties[])forwardData[0], fxs: (double[])forwardData[1], ts: (double[])forwardData[2]));
case SolutionDomainType.ROfRhoAndFt:
if (fs is TwoLayerSDAForwardSolver)
{
return(forwardData => fs.ROfRhoAndFt((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1], (double[])forwardData[2]).FlattenRealAndImaginary());
}
return(forwardData => fs.ROfRhoAndFt(ops: (OpticalProperties[])forwardData[0], rhos: (double[])forwardData[1], fts: (double[])forwardData[2]).FlattenRealAndImaginary());
case SolutionDomainType.ROfFxAndFt:
if (fs is TwoLayerSDAForwardSolver)
{
return(forwardData => fs.ROfFxAndFt((IOpticalPropertyRegion[][])forwardData[0], (double[])forwardData[1], (double[])forwardData[2]).FlattenRealAndImaginary());
}
return(forwardData => fs.ROfFxAndFt(ops: (OpticalProperties[])forwardData[0], fxs: (double[])forwardData[1], fts: (double[])forwardData[2]).FlattenRealAndImaginary());
default:
throw new ArgumentOutOfRangeException("type");
}
}
// overload for ITissueRegion forward solvers todo: merge with above?
public static double[] ComputeFluence(
IForwardSolver forwardSolver,
FluenceSolutionDomainType solutionDomainType,
// keeping us from uniting the above. needs to be a single SolutionDomainType enum
IndependentVariableAxis[] independentAxesTypes,
double[][] independentValues,
IOpticalPropertyRegion[] tissueRegions,
params double[] constantValues)
{
var parameters = tissueRegions.SelectMany(region =>
{
double[] regionParameters = null;
if (region is ILayerOpticalPropertyRegion)
{
var layerRegion = (ILayerOpticalPropertyRegion)region;
regionParameters = new[]
{
layerRegion.RegionOP.Mua,
layerRegion.RegionOP.Musp,
layerRegion.RegionOP.G,
layerRegion.RegionOP.N,
layerRegion.ZRange.Delta
};
}
//else if(region is EllipsoidTissueRegion)
//{
//
//}
else
{
throw new Exception("Forward model " +
forwardSolver.ToString() +
" is not supported.");
}
return(regionParameters);
}).ToArray();
// todo: current assumption below is that the second axis is z. need to generalize
var func = GetForwardFluenceFunc(forwardSolver, solutionDomainType, independentAxesTypes[0]);
// create a list of inputs (besides optical properties) that corresponds to the behavior of the function above
List <object> inputValues = new List <object>(independentValues);
constantValues.ForEach(cv => inputValues.Add(cv));
return(func(parameters, inputValues.ToArray()));
}
private static Func <double[], object[], Complex[]> GetForwardFluenceFuncComplex(
IForwardSolver fs, FluenceSolutionDomainType type, IndependentVariableAxis axis)
{
Func <double[], OpticalProperties> getOP = op => new OpticalProperties(op[0], op[1], op[2], op[3]);
// note: the following uses the convention that the independent variable(s) is (are) first in the forward data object array
// note: secondly, if there are multiple independent axes, they will be assigned in order of appearance in the method signature
switch (type)
{
case FluenceSolutionDomainType.FluenceOfRhoAndZAndFt:
switch (axis)
{
case IndependentVariableAxis.Rho:
if (fs is TwoLayerSDAForwardSolver) // todo: future generalization to IMultiRegionForwardSolver?
{
return((fitData, otherData) => fs.FluenceOfRhoAndZAndFt(new[] { getLayerTissueRegionArray(fitData) }, (double[])otherData[0], (double[])otherData[1], new[] { (double)otherData[2] }));
}
return((fitData, otherData) => fs.FluenceOfRhoAndZAndFt(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1], new[] { (double)otherData[2] }));
case IndependentVariableAxis.Ft:
if (fs is TwoLayerSDAForwardSolver)
{
return((fitData, otherData) => fs.FluenceOfRhoAndZAndFt(new[] { getLayerTissueRegionArray(fitData) }, (double[])otherData[2], (double[])otherData[1], new[] { (double)otherData[0] }));
}
return((fitData, otherData) => fs.FluenceOfRhoAndZAndFt(new[] { getOP(fitData) }, new[] { (double)otherData[2] }, (double[])otherData[1], (double[])otherData[0]));
default:
throw new ArgumentOutOfRangeException("axis");
}
case FluenceSolutionDomainType.FluenceOfFxAndZAndFt:
switch (axis)
{
case IndependentVariableAxis.Fx:
return((fitData, otherData) => fs.FluenceOfFxAndZAndFt(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1], new[] { (double)otherData[2] }));
case IndependentVariableAxis.Ft:
return((fitData, otherData) => fs.FluenceOfFxAndZAndFt(new[] { getOP(fitData) }, new[] { (double)otherData[2] }, (double[])otherData[1], (double[])otherData[0]));
default:
throw new ArgumentOutOfRangeException("axis");
}
default:
throw new ArgumentOutOfRangeException("type");
}
}
// overload that calls the above method with just one set of optical properties
public static double[] ComputeFluence(
IForwardSolver forwardSolver,
FluenceSolutionDomainType solutionDomainType,
// keeping us from uniting the above. needs to be a single SolutionDomainType enum
IndependentVariableAxis[] independentAxesTypes,
double[][] independentValues,
OpticalProperties opticalProperties,
params double[] constantValues)
{
return(ComputeFluence(
forwardSolver,
solutionDomainType,
independentAxesTypes,
independentValues,
new[] { opticalProperties },
constantValues));
}
public static double[] ComputeReflectance(
IForwardSolver forwardSolver,
SolutionDomainType solutionDomainType,
ForwardAnalysisType forwardAnalysisType,
object[] independentValues)
{
Func <object[], double[]> func = GetForwardReflectanceFunc(forwardSolver, solutionDomainType);
//Func<SolutionDomainType, ForwardAnalysisType, IndependentVariableAxis[], double[]> getOptimizationParameters = (_,_,_) =>
// new[] { op.Mua, op.Musp, op.G, op.N }
//double[] optimizationParameters = GetOptimizationParameters(forwardSolver, solutionDomainType, independentAxisTypes); // will need this for inverse solver
// create a list of inputs (besides optical properties) that corresponds to the behavior of the function above
return(forwardAnalysisType == ForwardAnalysisType.R
? func(independentValues)
: func.GetDerivativeFunc(forwardAnalysisType)(independentValues));
}
/// <summary>
/// Method to generate PHD
/// </summary>
/// <param name="forwardSolver">forward solver</param>
/// <param name="fluence">fluence</param>
/// <param name="sdSeparation">source detector separation (in mm)</param>
/// <param name="ops">optical properties</param>
/// <param name="rhos">detector locations (in mm)</param>
/// <param name="zs">z values (in mm)</param>
/// <returns></returns>
public static double[] GetPHD(IForwardSolver forwardSolver, double[] fluence, double sdSeparation,
OpticalProperties[] ops, double[] rhos, double[] zs)
{
var rhoPrimes =
from r in rhos
select r - sdSeparation;
var greensFunction = forwardSolver.SteadyStateFluence2SurfacePointPHD(ops, rhoPrimes, zs);
var phd = new double[fluence.Length];
phd.PopulateFromEnumerable(Enumerable.Zip(fluence, greensFunction, (flu, green) => flu * green));
return(phd);
// replaced with pre-initialized array + "PopulateFromEnumerable" call instead of growing array dynamically
//System.Linq.Enumerable.Zip(fluence, greensFunction, (flu, green) => flu * green).ToArray();
}
public static IEnumerable <double> SteadyStateFluence2SurfacePointPHD(
this IForwardSolver myForwardSolver,
IEnumerable <OpticalProperties> ops,
IEnumerable <double> rhoPrimes, IEnumerable <double> zs)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rho in rhoPrimes)
{
foreach (var z in zs)
{
var r21 = CalculatorToolbox.GetRadius(rho, z);
var r22 = CalculatorToolbox.GetRadius(rho, z + 2 * dp.zb);
yield return
(DiffusionGreensFunctions.StationaryPointSourceImageGreensFunction(dp, r21, r22));
}
}
}
}
public static double[] ComputeFluence(
IForwardSolver forwardSolver,
FluenceSolutionDomainType solutionDomainType, // keeping us from uniting the above. needs to be a single SolutionDomainType enum
IndependentVariableAxis[] independentAxesTypes,
double[][] independentValues,
OpticalProperties[] opticalProperties,
params double[] constantValues)
{
// todo: current assumption below is that the second axes is z. need to generalize
var func = GetForwardFluenceFunc(forwardSolver, solutionDomainType, independentAxesTypes[0]);
// create a list of inputs (besides optical properties) that corresponds to the behavior of the function above
List <object> inputValues = new List <object>(independentValues);
constantValues.ForEach(cv => inputValues.Add(cv));
if (opticalProperties.Length == 1) // optimization that skips duplicate arrays if we're not multiplexing over optical properties (e.g. wavelength)
{
var op = opticalProperties[0];
var parameters = new[] { op.Mua, op.Musp, op.G, op.N };
return(func(parameters, inputValues.ToArray()));
}
var numOp = opticalProperties.Length;
var numIv = independentValues.Length;
var fluence = new double[numOp * numIv];
for (int opi = 0; opi < numOp; opi++) // todo: parallelize
{
var op = opticalProperties[opi];
var parameters = new[] { op.Mua, op.Musp, op.G, op.N };
var tempValues = func(parameters, inputValues.ToArray());
for (int ivi = 0; ivi < numIv; ivi++)
{
fluence[opi * numIv + ivi] = tempValues[ivi];
}
}
return(fluence);
}
public static IEnumerable <double> TemporalPointSourceCenterlinePHD(
this IForwardSolver myForwardSolver,
IEnumerable <OpticalProperties> ops, IEnumerable <double> rProbes,
IEnumerable <double> rhos, IEnumerable <double> zs, IEnumerable <double> ts)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rProbe in rProbes)
{
foreach (var rho in rhos)
{
foreach (var z in zs)
{
var r11 = CalculatorToolbox.GetRadius(rProbe, z - dp.zp);
var r12 = CalculatorToolbox.GetRadius(rProbe, z + dp.zp + 2 * dp.zb);
var r21 = CalculatorToolbox.GetRadius(rho - rProbe, z);
var r22 = CalculatorToolbox.GetRadius(rho - rProbe, z + 2 * dp.zb);
foreach (var t in ts)
{
Func <double, double> integrandConvolve =
tau =>
{
return
(DiffusionGreensFunctions.TemporalPointSourceImageGreensFunction
(dp, r11, r12, tau) *
DiffusionGreensFunctions.TemporalPointSourceImageGreensFunction
(dp, r21, r22, t - tau));
};
yield return(FunctionMath.Integrate(
integrandConvolve, Meta.Numerics.Interval.FromEndpoints(0.0, t)));
}
}
}
}
}
}
///// <summary>
///// Modified from a code of Fred's written in Matlab
///// </summary>
///// <param name="dp">diffusion parameters object</param>
///// <param name="k">complex diffusion constant, ((mua*cn +i*(ft*2*pi))/(D*cn)).^0.5</param>
///// <param name="rho">source-detector separation</param>
///// <param name="rProbe">radius from source</param>
///// <param name="y">omitted</param>
///// <param name="z">depth</param>
///// <param name="ft">temporal frequency</param>
///// <returns></returns>
//public static double DepthProbFrequencyDomainPhotonMigration(DiffusionParameters dp, Complex k,
// double rho, double rProbe, double z, double ft)
//{
// var r11 = DiffusionBase.Radius1(rho, z, dp.zp);
// var r12 = DiffusionBase.Radius2(rho, z, dp.zp, dp.zb);
// var r21 = DiffusionBase.Radius1(rProbe - rho, z, 0.0);
// var r22 = DiffusionBase.Radius2(rProbe - rho, z, 0.0, dp.zb);
// var phi1 = SDAForwardSolver.TemporalFrequencyFluence(dp, k, r11, r12);
// var phi2 = SDAForwardSolver.TemporalFrequencyFluence(dp, k, r21, r22);
// return (phi1 * phi2).Modulus; // see Kienle and Patterson, JOSA A 14(1), 246-254,1997
//}
public static IEnumerable <double> TemporalFrequencyPointSourceCenterlinePHD(
this IForwardSolver myForwardSolver, IEnumerable <OpticalProperties> ops,
IEnumerable <double> rProbes, IEnumerable <double> rhos,
IEnumerable <double> zs, IEnumerable <double> fts)
{
foreach (var op in ops)
{
DiffusionParameters dp = DiffusionParameters.Create(op, ForwardModel.SDA);
foreach (var rProbe in rProbes)
{
foreach (var rho in rhos)
{
foreach (var z in zs)
{
var r11 = CalculatorToolbox.GetRadius(rProbe, z - dp.zp);
var r12 = CalculatorToolbox.GetRadius(rProbe, z + dp.zp + 2 * dp.zb);
var r21 = CalculatorToolbox.GetRadius(rho - rProbe, z);
var r22 = CalculatorToolbox.GetRadius(rho - rProbe, z + 2 * dp.zb);
foreach (var ft in fts)
{
Complex k =
(
(op.Mua * dp.cn + Complex.ImaginaryOne * ft * 2 * Math.PI) /
(dp.D * dp.cn)
).SquareRoot();
var phi1 = DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(
dp, r11, r12, k);
var phi2 = DiffusionGreensFunctions.TemporalFrequencyPointSourceImageGreensFunction(
dp, r21, r22, k);
yield return((phi1 * phi2).Magnitude);
}
}
}
}
}
}
// todo: array overloads for fluence forward solvers too
private static Func <double[], object[], double[]> GetForwardFluenceFunc(
IForwardSolver fs, FluenceSolutionDomainType type, IndependentVariableAxis axis)
{
Func <double[], OpticalProperties> getOP = op => new OpticalProperties(op[0], op[1], op[2], op[3]);
// note: the following uses the convention that the independent variable(s) is (are) first in the forward data object array
// note: secondly, if there are multiple independent axes, they will be assigned in order of appearance in the method signature
switch (type)
{
case FluenceSolutionDomainType.FluenceOfRhoAndZ:
if (fs is TwoLayerSDAForwardSolver) // todo: future generalization to IMultiRegionForwardSolver?
{
return((fitData, otherData) => fs.FluenceOfRhoAndZ(new[] { getLayerTissueRegionArray(fitData) }, (double[])otherData[0], (double[])otherData[1]));
}
return((fitData, otherData) => fs.FluenceOfRhoAndZ(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1]));
case FluenceSolutionDomainType.FluenceOfFxAndZ:
return((fitData, otherData) => fs.FluenceOfFxAndZ(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1]));
case FluenceSolutionDomainType.FluenceOfRhoAndZAndTime:
switch (axis)
{
case IndependentVariableAxis.Rho:
return((fitData, otherData) => fs.FluenceOfRhoAndZAndTime(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1], new[] { (double)otherData[2] }));
case IndependentVariableAxis.Time:
return((fitData, otherData) => fs.FluenceOfRhoAndZAndTime(new[] { getOP(fitData) }, new[] { (double)otherData[2] }, (double[])otherData[1], (double[])otherData[0]));
//case IndependentVariableAxis.Wavelength:
// return (chromPlusMusp, constantData) =>
// {
// var wv = (double[]) constantData[0];
// var tissue = (Tissue) constantData[1];
// int i = 0;
// tissue.Absorbers.ForEach(abs => abs.Concentration = chromPlusMusp[i++]);
// tissue.Scatterer = new PowerLawScatterer(chromPlusMusp[i], chromPlusMusp[i + 1]);
// var muas = wv.Select(w => tissue.GetMua(w));
// var musps = wv.Select(w => tissue.GetMusp(w));
// return EnumerableExtensions.Zip(muas,musps,(mua,musp)=>fs.ROfRhoAndTime())...
// };
// return op => fs.ROfRhoAndTime(op, ((double)constantValues[0]).AsEnumerable(), ((double)constantValues[1]).AsEnumerable());
default:
throw new ArgumentOutOfRangeException("axis");
}
case FluenceSolutionDomainType.FluenceOfFxAndZAndTime:
switch (axis)
{
case IndependentVariableAxis.Fx:
return((fitData, otherData) => fs.FluenceOfFxAndZAndTime(new[] { getOP(fitData) }, (double[])otherData[0], (double[])otherData[1], new[] { (double)otherData[2] }));
case IndependentVariableAxis.Time:
return((fitData, otherData) => fs.FluenceOfFxAndZAndTime(new[] { getOP(fitData) }, new[] { (double)otherData[2] }, (double[])otherData[1], (double[])otherData[0]));
default:
throw new ArgumentOutOfRangeException("axis");
}
default:
throw new ArgumentOutOfRangeException("type");
}
}
public VectorizedForwardSolverFuncs(IForwardSolver fs)
{
_fs = fs;
}
