public void ProcessCTFOneAngle(Image angleImage,
float angle,
bool fromScratch,
bool fixAstigmatism,
float2 astigmatism,
CTF previousCTF,
CubicGrid previousGrid,
Cubic1D previousBackground,
Cubic1D previousScale,
out CTF thisCTF,
out CubicGrid thisGrid,
out float2[] thisPS1D,
out Cubic1D thisBackground,
out Cubic1D thisScale,
out Image thisPS2D)
{
CTF TempCTF = previousCTF != null ? previousCTF.GetCopy() : new CTF();
float2[] TempPS1D = null;
Cubic1D TempBackground = null, TempScale = null;
CubicGrid TempGrid = null;
#region Dimensions and grids
int NFrames = angleImage.Dims.Z;
int2 DimsImage = angleImage.DimsSlice;
int2 DimsRegion = new int2(MainWindow.Options.CTFWindow, MainWindow.Options.CTFWindow);
float OverlapFraction = 0.5f;
int2 DimsPositionGrid;
int3[] PositionGrid = Helper.GetEqualGridSpacing(DimsImage, new int2(DimsRegion.X, DimsRegion.Y), OverlapFraction, out DimsPositionGrid);
int NPositions = (int)DimsPositionGrid.Elements();
if (previousGrid == null)
TempGrid = new CubicGrid(new int3(2, 2, 1));
else
TempGrid = new CubicGrid(new int3(2, 2, 1), previousGrid.FlatValues);
bool CTFSpace = true;
bool CTFTime = false;
int3 CTFSpectraGrid = new int3(DimsPositionGrid.X, DimsPositionGrid.Y, 1);
int MinFreqInclusive = (int)(MainWindow.Options.CTFRangeMin * DimsRegion.X / 2);
int MaxFreqExclusive = (int)(MainWindow.Options.CTFRangeMax * DimsRegion.X / 2);
int NFreq = MaxFreqExclusive - MinFreqInclusive;
#endregion
#region Allocate GPU memory
Image CTFSpectra = new Image(IntPtr.Zero, new int3(DimsRegion.X, DimsRegion.X, (int)CTFSpectraGrid.Elements()), true);
Image CTFMean = new Image(IntPtr.Zero, new int3(DimsRegion), true);
Image CTFCoordsCart = new Image(new int3(DimsRegion), true, true);
Image CTFCoordsPolarTrimmed = new Image(new int3(NFreq, DimsRegion.X, 1), false, true);
#endregion
// Extract movie regions, create individual spectra in Cartesian coordinates and their mean.
#region Create spectra
GPU.CreateSpectra(angleImage.GetDevice(Intent.Read),
DimsImage,
NFrames,
PositionGrid,
NPositions,
DimsRegion,
CTFSpectraGrid,
CTFSpectra.GetDevice(Intent.Write),
CTFMean.GetDevice(Intent.Write));
angleImage.FreeDevice(); // Won't need it in this method anymore.
#endregion
// Populate address arrays for later.
#region Init addresses
{
float2[] CoordsData = new float2[CTFCoordsCart.ElementsSliceComplex];
Helper.ForEachElementFT(DimsRegion, (x, y, xx, yy, r, a) => CoordsData[y * (DimsRegion.X / 2 + 1) + x] = new float2(r, a));
CTFCoordsCart.UpdateHostWithComplex(new[] { CoordsData });
CoordsData = new float2[NFreq * DimsRegion.X];
Helper.ForEachElement(CTFCoordsPolarTrimmed.DimsSlice, (x, y) =>
{
float Angle = ((float)y / DimsRegion.X + 0.5f) * (float)Math.PI;
float Ny = 1f / DimsRegion.X;
CoordsData[y * NFreq + x] = new float2((x + MinFreqInclusive) * Ny, Angle);
});
CTFCoordsPolarTrimmed.UpdateHostWithComplex(new[] { CoordsData });
}
#endregion
// Retrieve average 1D spectrum from CTFMean (not corrected for astigmatism yet).
#region Initial 1D spectrum
{
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
GPU.CTFMakeAverage(CTFMean.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFMean.ElementsSliceReal,
(uint)DimsRegion.X,
new[] { new CTF().ToStruct() },
new CTF().ToStruct(),
0,
(uint)DimsRegion.X / 2,
null,
1,
CTFAverage1D.GetDevice(Intent.Write));
//CTFAverage1D.WriteMRC("CTFAverage1D.mrc");
float[] CTFAverage1DData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[DimsRegion.X / 2];
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, (float)Math.Round(CTFAverage1DData[i], 4));
TempPS1D = ForPS1D;
CTFAverage1D.Dispose();
}
#endregion
#region Background fitting methods
Action UpdateBackgroundFit = () =>
{
float2[] ForPS1D = TempPS1D.Skip(Math.Max(5, MinFreqInclusive / 2)).ToArray();
Cubic1D.FitCTF(ForPS1D,
v => v.Select(x => TempCTF.Get1D(x / (float)TempCTF.PixelSize, true)).ToArray(),
TempCTF.GetZeros(),
TempCTF.GetPeaks(),
out TempBackground,
out TempScale);
};
Action<bool> UpdateRotationalAverage = keepbackground =>
{
float[] MeanData = CTFMean.GetHost(Intent.Read)[0];
Image CTFMeanCorrected = new Image(new int3(DimsRegion), true);
float[] MeanCorrectedData = CTFMeanCorrected.GetHost(Intent.Write)[0];
// Subtract current background estimate from spectra, populate coords.
Helper.ForEachElementFT(DimsRegion,
(x, y, xx, yy, r, a) =>
{
int i = y * (DimsRegion.X / 2 + 1) + x;
MeanCorrectedData[i] = MeanData[i] - TempBackground.Interp(r / DimsRegion.X);
});
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
GPU.CTFMakeAverage(CTFMeanCorrected.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFMeanCorrected.DimsEffective.ElementsSlice(),
(uint)DimsRegion.X,
new[] { TempCTF.ToStruct() },
TempCTF.ToStruct(),
0,
(uint)DimsRegion.X / 2,
null,
1,
CTFAverage1D.GetDevice(Intent.Write));
//CTFAverage1D.WriteMRC("CTFAverage1D.mrc");
float[] RotationalAverageData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[TempPS1D.Length];
if (keepbackground)
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, RotationalAverageData[i] + TempBackground.Interp((float)i / DimsRegion.X));
else
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, RotationalAverageData[i]);
MathHelper.UnNaN(ForPS1D);
TempPS1D = ForPS1D;
CTFMeanCorrected.Dispose();
CTFAverage1D.Dispose();
};
#endregion
// Fit background to currently best average (not corrected for astigmatism yet).
{
float2[] ForPS1D = TempPS1D.Skip(MinFreqInclusive).Take(Math.Max(2, NFreq / 2)).ToArray();
float[] CurrentBackground;
//if (previousBackground == null)
{
int NumNodes = Math.Max(3, (int)((MainWindow.Options.CTFRangeMax - MainWindow.Options.CTFRangeMin) * 5M));
TempBackground = Cubic1D.Fit(ForPS1D, NumNodes); // This won't fit falloff and scale, because approx function is 0
CurrentBackground = TempBackground.Interp(TempPS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq / 2).ToArray();
}
/*else
{
CurrentBackground = previousBackground.Interp(TempPS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq / 2).ToArray();
TempBackground = new Cubic1D(previousBackground.Data);
}*/
float[] Subtracted1D = new float[ForPS1D.Length];
for (int i = 0; i < ForPS1D.Length; i++)
Subtracted1D[i] = ForPS1D[i].Y - CurrentBackground[i];
MathHelper.NormalizeInPlace(Subtracted1D);
float ZMin = (float)MainWindow.Options.CTFZMin;
float ZMax = (float)MainWindow.Options.CTFZMax;
float PhaseMin = 0f;
float PhaseMax = MainWindow.Options.CTFDoPhase ? 1f : 0f;
if (previousCTF != null)
{
ZMin = (float)previousCTF.Defocus - 0.5f;
ZMax = (float)previousCTF.Defocus + 0.5f;
if (PhaseMax > 0)
{
PhaseMin = (float)previousCTF.PhaseShift - 0.3f;
PhaseMax = (float)previousCTF.PhaseShift + 0.3f;
}
}
float ZStep = (ZMax - ZMin) / 100f;
float BestZ = 0, BestPhase = 0, BestScore = -999;
for (float z = ZMin; z <= ZMax + 1e-5f; z += ZStep)
{
for (float p = PhaseMin; p <= PhaseMax; p += 0.01f)
{
CTF CurrentParams = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
Defocus = (decimal)z,
PhaseShift = (decimal)p,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
float[] SimulatedCTF = CurrentParams.Get1D(TempPS1D.Length, true).Skip(MinFreqInclusive).Take(Math.Max(2, NFreq / 2)).ToArray();
MathHelper.NormalizeInPlace(SimulatedCTF);
float Score = MathHelper.CrossCorrelate(Subtracted1D, SimulatedCTF);
if (Score > BestScore)
{
BestScore = Score;
BestZ = z;
BestPhase = p;
}
}
}
TempCTF = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
Defocus = (decimal)BestZ,
PhaseShift = (decimal)BestPhase,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
UpdateRotationalAverage(true); // This doesn't have a nice background yet.
UpdateBackgroundFit(); // Now get a reasonably nice background.
}
// Fit defocus, (phase shift), (astigmatism) to average background-subtracted spectrum,
// which is in polar coords at this point (for equal weighting of all frequencies).
#region Grid search
if (fromScratch)
{
Image CTFMeanPolarTrimmed = CTFMean.AsPolar((uint)MinFreqInclusive, (uint)(MinFreqInclusive + NFreq / 1));
// Subtract current background.
Image CurrentBackground = new Image(TempBackground.Interp(TempPS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq / 1).ToArray());
CTFMeanPolarTrimmed.SubtractFromLines(CurrentBackground);
CurrentBackground.Dispose();
// Normalize for CC (not strictly needed, but it's converted for fp16 later, so let's be on the safe side of the fp16 range.
GPU.Normalize(CTFMeanPolarTrimmed.GetDevice(Intent.Read), CTFMeanPolarTrimmed.GetDevice(Intent.Write), (uint)CTFMeanPolarTrimmed.ElementsReal, 1);
//CTFMeanPolarTrimmed.WriteMRC("ctfmeanpolartrimmed.mrc");
CTF StartParams = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
PixelSizeDelta = Math.Abs(MainWindow.Options.CTFPixelMax - MainWindow.Options.CTFPixelMin),
PixelSizeAngle = MainWindow.Options.CTFPixelAngle,
Defocus = TempCTF.Defocus, // (MainWindow.Options.CTFZMin + MainWindow.Options.CTFZMax) * 0.5M,
DefocusDelta = 0,
DefocusAngle = 0,
PhaseShift = TempCTF.PhaseShift,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
CTFFitStruct FitParams = new CTFFitStruct
{
Defocus = new float3(-0.4e-6f,
0.4e-6f,
0.025e-6f),
Defocusdelta = new float3(0, 0.8e-6f, 0.02e-6f),
Astigmatismangle = new float3(0, 2 * (float)Math.PI, 1 * (float)Math.PI / 18),
Phaseshift = MainWindow.Options.CTFDoPhase ? new float3(-0.2f * (float)Math.PI, 0.2f * (float)Math.PI, 0.025f * (float)Math.PI) : new float3(0, 0, 0)
};
CTFStruct ResultStruct = GPU.CTFFitMean(CTFMeanPolarTrimmed.GetDevice(Intent.Read),
CTFCoordsPolarTrimmed.GetDevice(Intent.Read),
CTFMeanPolarTrimmed.DimsSlice,
StartParams.ToStruct(),
FitParams,
true);
TempCTF.FromStruct(ResultStruct);
TempCTF.Defocus = Math.Max(TempCTF.Defocus, MainWindow.Options.CTFZMin);
CTFMeanPolarTrimmed.Dispose();
UpdateRotationalAverage(true); // This doesn't have a nice background yet.
UpdateBackgroundFit(); // Now get a reasonably nice background.
UpdateRotationalAverage(true); // This time, with the nice background.
UpdateBackgroundFit(); // Make the background even nicer!
}
else if (previousCTF != null)
{
TempCTF.DefocusDelta = previousCTF.DefocusDelta;
TempCTF.DefocusAngle = previousCTF.DefocusAngle;
}
if (fixAstigmatism)
{
TempCTF.DefocusDelta = (decimal)astigmatism.X;
TempCTF.DefocusAngle = (decimal)astigmatism.Y;
}
#endregion
if (previousGrid == null)
TempGrid = new CubicGrid(TempGrid.Dimensions, (float)TempCTF.Defocus, (float)TempCTF.Defocus, Dimension.X);
// Do BFGS optimization of defocus, astigmatism and phase shift,
// using 2D simulation for comparison
#region BFGS
bool[] CTFSpectraConsider = new bool[CTFSpectraGrid.Elements()];
for (int i = 0; i < CTFSpectraConsider.Length; i++)
CTFSpectraConsider[i] = true;
int NCTFSpectraConsider = CTFSpectraConsider.Length;
{
Image CTFSpectraPolarTrimmed = CTFSpectra.AsPolar((uint)MinFreqInclusive, (uint)(MinFreqInclusive + NFreq));
CTFSpectra.FreeDevice(); // This will only be needed again for the final PS1D.
#region Create background and scale
float[] CurrentScale = TempScale.Interp(TempPS1D.Select(p => p.X).ToArray());
Image CTFSpectraScale = new Image(new int3(NFreq, DimsRegion.X, 1));
float[] CTFSpectraScaleData = CTFSpectraScale.GetHost(Intent.Write)[0];
// Trim polar to relevant frequencies, and populate coordinates.
Parallel.For(0, DimsRegion.X, y =>
{
for (int x = 0; x < NFreq; x++)
CTFSpectraScaleData[y * NFreq + x] = CurrentScale[x + MinFreqInclusive];
});
//CTFSpectraScale.WriteMRC("ctfspectrascale.mrc");
// Background is just 1 line since we're in polar.
Image CurrentBackground = new Image(TempBackground.Interp(TempPS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq).ToArray());
#endregion
CTFSpectraPolarTrimmed.SubtractFromLines(CurrentBackground);
CurrentBackground.Dispose();
// Normalize background-subtracted spectra.
GPU.Normalize(CTFSpectraPolarTrimmed.GetDevice(Intent.Read),
CTFSpectraPolarTrimmed.GetDevice(Intent.Write),
(uint)CTFSpectraPolarTrimmed.ElementsSliceReal,
(uint)CTFSpectraGrid.Elements());
//CTFSpectraPolarTrimmed.WriteMRC("ctfspectrapolartrimmed.mrc");
#region Convert to fp16
Image CTFSpectraPolarTrimmedHalf = CTFSpectraPolarTrimmed.AsHalf();
CTFSpectraPolarTrimmed.Dispose();
Image CTFSpectraScaleHalf = CTFSpectraScale.AsHalf();
CTFSpectraScale.Dispose();
Image CTFCoordsPolarTrimmedHalf = CTFCoordsPolarTrimmed.AsHalf();
#endregion
// Wiggle weights show how the defocus on the spectra grid is altered
// by changes in individual anchor points of the spline grid.
// They are used later to compute the dScore/dDefocus values for each spectrum
// only once, and derive the values for each anchor point from them.
float[][] WiggleWeights = TempGrid.GetWiggleWeights(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0));
// Helper method for getting CTFStructs for the entire spectra grid.
Func<double[], CTF, float[], CTFStruct[]> EvalGetCTF = (input, ctf, defocusValues) =>
{
decimal AlteredPhase = MainWindow.Options.CTFDoPhase ? (decimal)input[input.Length - 3] : 0;
decimal AlteredDelta = (decimal)input[input.Length - 2];
decimal AlteredAngle = (decimal)(input[input.Length - 1] * 20 / (Math.PI / 180));
CTF Local = ctf.GetCopy();
Local.PhaseShift = AlteredPhase;
Local.DefocusDelta = AlteredDelta;
Local.DefocusAngle = AlteredAngle;
CTFStruct LocalStruct = Local.ToStruct();
CTFStruct[] LocalParams = new CTFStruct[defocusValues.Length];
for (int i = 0; i < LocalParams.Length; i++)
{
LocalParams[i] = LocalStruct;
LocalParams[i].Defocus = defocusValues[i] * -1e-6f;
}
return LocalParams;
};
// Simulate with adjusted CTF, compare to originals
#region Eval and Gradient methods
Func<double[], double> Eval = input =>
{
CubicGrid Altered = new CubicGrid(TempGrid.Dimensions, input.Take((int)TempGrid.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] DefocusValues = Altered.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0));
CTFStruct[] LocalParams = EvalGetCTF(input, TempCTF, DefocusValues);
float[] Result = new float[LocalParams.Length];
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
Result,
(uint)LocalParams.Length);
float Score = 0;
for (int i = 0; i < Result.Length; i++)
if (CTFSpectraConsider[i])
Score += Result[i];
Score /= NCTFSpectraConsider;
if (float.IsNaN(Score) || float.IsInfinity(Score))
throw new Exception("Bad score.");
return (1.0 - Score) * 1000.0;
};
Func<double[], double[]> Gradient = input =>
{
const float Step = 0.005f;
double[] Result = new double[input.Length];
// In 0D grid case, just get gradient for all 4 parameters.
// In 1+D grid case, do simple gradient for astigmatism and phase...
int StartComponent = input.Length - 3;
//int StartComponent = 0;
for (int i = StartComponent; i < input.Length; i++)
{
if (fixAstigmatism && i > StartComponent)
continue;
double[] UpperInput = new double[input.Length];
input.CopyTo(UpperInput, 0);
UpperInput[i] += Step;
double UpperValue = Eval(UpperInput);
double[] LowerInput = new double[input.Length];
input.CopyTo(LowerInput, 0);
LowerInput[i] -= Step;
double LowerValue = Eval(LowerInput);
Result[i] = (UpperValue - LowerValue) / (2f * Step);
}
float[] ResultPlus = new float[CTFSpectraGrid.Elements()];
float[] ResultMinus = new float[CTFSpectraGrid.Elements()];
// ..., take shortcut for defoci...
{
{
CubicGrid AlteredPlus = new CubicGrid(TempGrid.Dimensions, input.Take((int)TempGrid.Dimensions.Elements()).Select(v => (float)v + Step).ToArray());
float[] DefocusValues = AlteredPlus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0));
CTFStruct[] LocalParams = EvalGetCTF(input, TempCTF, DefocusValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultPlus,
(uint)LocalParams.Length);
}
{
CubicGrid AlteredMinus = new CubicGrid(TempGrid.Dimensions, input.Take((int)TempGrid.Dimensions.Elements()).Select(v => (float)v - Step).ToArray());
float[] DefocusValues = AlteredMinus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0));
CTFStruct[] LocalParams = EvalGetCTF(input, TempCTF, DefocusValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultMinus,
(uint)LocalParams.Length);
}
float[] LocalGradients = new float[ResultPlus.Length];
for (int i = 0; i < LocalGradients.Length; i++)
LocalGradients[i] = ResultMinus[i] - ResultPlus[i];
// Now compute gradients per grid anchor point using the precomputed individual gradients and wiggle factors.
Parallel.For(0, TempGrid.Dimensions.Elements(), i => Result[i] = MathHelper.ReduceWeighted(LocalGradients, WiggleWeights[i]) / LocalGradients.Length / (2f * Step) * 1000f);
}
foreach (var i in Result)
if (double.IsNaN(i) || double.IsInfinity(i))
throw new Exception("Bad score.");
return Result;
};
#endregion
#region Minimize first time with potential outpiers
double[] StartParams = new double[TempGrid.Dimensions.Elements() + 3];
for (int i = 0; i < TempGrid.Dimensions.Elements(); i++)
StartParams[i] = TempGrid.FlatValues[i];
StartParams[StartParams.Length - 3] = (double)TempCTF.PhaseShift;
StartParams[StartParams.Length - 2] = (double)TempCTF.DefocusDelta;
StartParams[StartParams.Length - 1] = (double)TempCTF.DefocusAngle / 20 * (Math.PI / 180);
// Compute correlation for individual spectra, and throw away those that are >.75 sigma worse than mean.
BroydenFletcherGoldfarbShanno Optimizer = new BroydenFletcherGoldfarbShanno(StartParams.Length, Eval, Gradient)
{
Past = 1,
Delta = 1e-6,
MaxLineSearch = 15,
Corrections = 20
};
Optimizer.Minimize(StartParams);
#endregion
#region Retrieve parameters
TempCTF.Defocus = (decimal)MathHelper.Mean(Optimizer.Solution.Take((int)TempGrid.Dimensions.Elements()).Select(v => (float)v));
TempCTF.PhaseShift = (decimal)Optimizer.Solution[StartParams.Length - 3];
TempCTF.DefocusDelta = (decimal)Optimizer.Solution[StartParams.Length - 2];
TempCTF.DefocusAngle = (decimal)(Optimizer.Solution[StartParams.Length - 1] * 20 / (Math.PI / 180));
if (TempCTF.DefocusDelta < 0)
{
TempCTF.DefocusAngle += 90;
TempCTF.DefocusDelta *= -1;
}
TempCTF.DefocusAngle = ((int)TempCTF.DefocusAngle + 180 * 99) % 180;
TempGrid = new CubicGrid(TempGrid.Dimensions, Optimizer.Solution.Take((int)TempGrid.Dimensions.Elements()).Select(v => (float)v).ToArray());
#endregion
// Dispose GPU resources manually because GC can't be bothered to do it in time.
CTFSpectraPolarTrimmedHalf.Dispose();
CTFCoordsPolarTrimmedHalf.Dispose();
CTFSpectraScaleHalf.Dispose();
#region Get nicer envelope fit
{
{
Image CTFSpectraBackground = new Image(new int3(DimsRegion), true);
float[] CTFSpectraBackgroundData = CTFSpectraBackground.GetHost(Intent.Write)[0];
// Construct background in Cartesian coordinates.
Helper.ForEachElementFT(DimsRegion, (x, y, xx, yy, r, a) =>
{
CTFSpectraBackgroundData[y * CTFSpectraBackground.DimsEffective.X + x] = TempBackground.Interp(r / DimsRegion.X);
});
CTFSpectra.SubtractFromSlices(CTFSpectraBackground);
float[] DefocusValues = TempGrid.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0));
CTFStruct[] LocalParams = DefocusValues.Select(v =>
{
CTF Local = TempCTF.GetCopy();
Local.Defocus = (decimal)v + 0.0M;
return Local.ToStruct();
}).ToArray();
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
CTF CTFAug = TempCTF.GetCopy();
CTFAug.Defocus += 0.0M;
GPU.CTFMakeAverage(CTFSpectra.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFSpectra.ElementsSliceReal,
(uint)DimsRegion.X,
LocalParams,
CTFAug.ToStruct(),
0,
(uint)DimsRegion.X / 2,
CTFSpectraConsider.Select(v => v ? 1 : 0).ToArray(),
(uint)CTFSpectraGrid.Elements(),
CTFAverage1D.GetDevice(Intent.Write));
CTFSpectra.AddToSlices(CTFSpectraBackground);
float[] RotationalAverageData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[TempPS1D.Length];
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, (float)Math.Round(RotationalAverageData[i], 4) + TempBackground.Interp((float)i / DimsRegion.X));
MathHelper.UnNaN(ForPS1D);
TempPS1D = ForPS1D;
CTFSpectraBackground.Dispose();
CTFAverage1D.Dispose();
CTFSpectra.FreeDevice();
}
TempCTF.Defocus = Math.Max(TempCTF.Defocus, MainWindow.Options.CTFZMin);
UpdateBackgroundFit();
}
#endregion
}
#endregion
// Subtract background from 2D average and write it to disk.
// This image is used for quick visualization purposes only.
#region PS2D update
{
int3 DimsAverage = new int3(DimsRegion.X, DimsRegion.X / 2, 1);
float[] Average2DData = new float[DimsAverage.Elements()];
float[] OriginalAverageData = CTFMean.GetHost(Intent.Read)[0];
for (int y = 0; y < DimsAverage.Y; y++)
{
int yy = y * y;
for (int x = 0; x < DimsAverage.Y; x++)
{
int xx = DimsRegion.X / 2 - x - 1;
xx *= xx;
float r = (float)Math.Sqrt(xx + yy) / DimsRegion.X;
Average2DData[y * DimsAverage.X + x] = OriginalAverageData[(y + DimsRegion.X / 2) * (DimsRegion.X / 2 + 1) + x] - TempBackground.Interp(r);
}
for (int x = 0; x < DimsRegion.X / 2; x++)
{
int xx = x * x;
float r = (float)Math.Sqrt(xx + yy) / DimsRegion.X;
Average2DData[y * DimsAverage.X + x + DimsRegion.X / 2] = OriginalAverageData[(DimsRegion.X / 2 - y) * (DimsRegion.X / 2 + 1) + (DimsRegion.X / 2 - 1 - x)] - TempBackground.Interp(r);
}
}
thisPS2D = new Image(Average2DData, DimsAverage);
}
#endregion
for (int i = 0; i < TempPS1D.Length; i++)
TempPS1D[i].Y -= TempBackground.Interp(TempPS1D[i].X);
CTFSpectra.Dispose();
CTFMean.Dispose();
CTFCoordsCart.Dispose();
CTFCoordsPolarTrimmed.Dispose();
thisPS1D = TempPS1D;
thisBackground = TempBackground;
thisScale = TempScale;
thisCTF = TempCTF;
thisGrid = TempGrid;
}
public virtual void ProcessCTF(MapHeader originalHeader, Image originalStack, bool doastigmatism, decimal scaleFactor)
{
if (!Directory.Exists(PowerSpectrumDir))
Directory.CreateDirectory(PowerSpectrumDir);
//CTF = new CTF();
PS1D = null;
_SimulatedBackground = null;
_SimulatedScale = new Cubic1D(new[] { new float2(0, 1), new float2(1, 1) });
#region Dimensions and grids
int NFrames = originalHeader.Dimensions.Z;
int2 DimsImage = new int2(originalHeader.Dimensions);
int2 DimsRegion = new int2(MainWindow.Options.CTFWindow, MainWindow.Options.CTFWindow);
float OverlapFraction = 0.5f;
int2 DimsPositionGrid;
int3[] PositionGrid = Helper.GetEqualGridSpacing(DimsImage, new int2(DimsRegion.X / 1, DimsRegion.Y / 1), OverlapFraction, out DimsPositionGrid);
int NPositions = (int)DimsPositionGrid.Elements();
int CTFGridX = Math.Min(DimsPositionGrid.X, MainWindow.Options.GridCTFX);
int CTFGridY = Math.Min(DimsPositionGrid.Y, MainWindow.Options.GridCTFY);
int CTFGridZ = Math.Min(NFrames, MainWindow.Options.GridCTFZ);
GridCTF = new CubicGrid(new int3(CTFGridX, CTFGridY, CTFGridZ));
GridCTFPhase = new CubicGrid(new int3(1, 1, CTFGridZ));
bool CTFSpace = CTFGridX * CTFGridY > 1;
bool CTFTime = CTFGridZ > 1;
int3 CTFSpectraGrid = new int3(CTFSpace ? DimsPositionGrid.X : 1,
CTFSpace ? DimsPositionGrid.Y : 1,
CTFTime ? CTFGridZ : 1);
int MinFreqInclusive = (int)(MainWindow.Options.CTFRangeMin * DimsRegion.X / 2);
int MaxFreqExclusive = (int)(MainWindow.Options.CTFRangeMax * DimsRegion.X / 2);
int NFreq = MaxFreqExclusive - MinFreqInclusive;
float PixelSize = (float)(MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5f;
float PixelDelta = (float)(MainWindow.Options.CTFPixelMax - MainWindow.Options.CTFPixelMin) * 0.5f;
float PixelAngle = (float)MainWindow.Options.CTFPixelAngle / 180f * (float)Math.PI;
#endregion
#region Allocate GPU memory
Image CTFSpectra = new Image(IntPtr.Zero, new int3(DimsRegion.X, DimsRegion.X, (int)CTFSpectraGrid.Elements()), true);
Image CTFMean = new Image(IntPtr.Zero, new int3(DimsRegion), true);
Image CTFCoordsCart = new Image(new int3(DimsRegion), true, true);
Image CTFCoordsPolarTrimmed = new Image(new int3(NFreq, DimsRegion.X, 1), false, true);
#endregion
// Extract movie regions, create individual spectra in Cartesian coordinates and their mean.
#region Create spectra
GPU.CreateSpectra(originalStack.GetDevice(Intent.Read),
DimsImage,
NFrames,
PositionGrid,
NPositions,
DimsRegion,
CTFSpectraGrid,
CTFSpectra.GetDevice(Intent.Write),
CTFMean.GetDevice(Intent.Write));
originalStack.FreeDevice(); // Won't need it in this method anymore.
#endregion
// Populate address arrays for later.
#region Init addresses
{
float2[] CoordsData = new float2[CTFCoordsCart.ElementsSliceComplex];
Helper.ForEachElementFT(DimsRegion, (x, y, xx, yy, r, a) => CoordsData[y * (DimsRegion.X / 2 + 1) + x] = new float2(r, a));
CTFCoordsCart.UpdateHostWithComplex(new[] { CoordsData });
CoordsData = new float2[NFreq * DimsRegion.X];
Helper.ForEachElement(CTFCoordsPolarTrimmed.DimsSlice, (x, y) =>
{
float Angle = ((float)y / DimsRegion.X + 0.5f) * (float)Math.PI;
float Ny = 1f / DimsRegion.X;
CoordsData[y * NFreq + x] = new float2((x + MinFreqInclusive) * Ny, Angle);
});
CTFCoordsPolarTrimmed.UpdateHostWithComplex(new[] { CoordsData });
}
#endregion
// Retrieve average 1D spectrum from CTFMean (not corrected for astigmatism yet).
#region Initial 1D spectrum
{
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
GPU.CTFMakeAverage(CTFMean.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFMean.ElementsSliceReal,
(uint)DimsRegion.X,
new[] { new CTF().ToStruct() },
new CTF().ToStruct(),
0,
(uint)DimsRegion.X / 2,
null,
1,
CTFAverage1D.GetDevice(Intent.Write));
//CTFAverage1D.WriteMRC("CTFAverage1D.mrc");
float[] CTFAverage1DData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[DimsRegion.X / 2];
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, (float)Math.Round(CTFAverage1DData[i], 4));
_PS1D = ForPS1D;
CTFAverage1D.Dispose();
}
#endregion
#region Background fitting methods
Action UpdateBackgroundFit = () =>
{
float2[] ForPS1D = PS1D.Skip(Math.Max(5, MinFreqInclusive / 2)).ToArray();
Cubic1D.FitCTF(ForPS1D,
v => v.Select(x => CTF.Get1D(x / (float)CTF.PixelSize, true)).ToArray(),
CTF.GetZeros(),
CTF.GetPeaks(),
out _SimulatedBackground,
out _SimulatedScale);
};
Action<bool> UpdateRotationalAverage = keepbackground =>
{
float[] MeanData = CTFMean.GetHost(Intent.Read)[0];
Image CTFMeanCorrected = new Image(new int3(DimsRegion), true);
float[] MeanCorrectedData = CTFMeanCorrected.GetHost(Intent.Write)[0];
// Subtract current background estimate from spectra, populate coords.
Helper.ForEachElementFT(DimsRegion,
(x, y, xx, yy, r, a) =>
{
int i = y * (DimsRegion.X / 2 + 1) + x;
MeanCorrectedData[i] = MeanData[i] - _SimulatedBackground.Interp(r / DimsRegion.X);
});
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
GPU.CTFMakeAverage(CTFMeanCorrected.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFMeanCorrected.DimsEffective.ElementsSlice(),
(uint)DimsRegion.X,
new[] { CTF.ToStruct() },
CTF.ToStruct(),
0,
(uint)DimsRegion.X / 2,
null,
1,
CTFAverage1D.GetDevice(Intent.Write));
//CTFAverage1D.WriteMRC("CTFAverage1D.mrc");
float[] RotationalAverageData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[PS1D.Length];
if (keepbackground)
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, RotationalAverageData[i] + _SimulatedBackground.Interp((float)i / DimsRegion.X));
else
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, RotationalAverageData[i]);
MathHelper.UnNaN(ForPS1D);
_PS1D = ForPS1D;
CTFMeanCorrected.Dispose();
CTFAverage1D.Dispose();
};
#endregion
// Fit background to currently best average (not corrected for astigmatism yet).
{
float2[] ForPS1D = PS1D.Skip(MinFreqInclusive).Take(Math.Max(2, NFreq / 2)).ToArray();
int NumNodes = Math.Max(3, (int)((MainWindow.Options.CTFRangeMax - MainWindow.Options.CTFRangeMin) * 5M));
_SimulatedBackground = Cubic1D.Fit(ForPS1D, NumNodes); // This won't fit falloff and scale, because approx function is 0
float[] CurrentBackground = _SimulatedBackground.Interp(PS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq / 2).ToArray();
float[] Subtracted1D = new float[ForPS1D.Length];
for (int i = 0; i < ForPS1D.Length; i++)
Subtracted1D[i] = ForPS1D[i].Y - CurrentBackground[i];
MathHelper.NormalizeInPlace(Subtracted1D);
float ZMin = (float)MainWindow.Options.CTFZMin;
float ZMax = (float)MainWindow.Options.CTFZMax;
float ZStep = (ZMax - ZMin) / 100f;
float BestZ = 0, BestPhase = 0, BestScore = -999;
for (float z = ZMin; z <= ZMax + 1e-5f; z += ZStep)
{
for (float p = 0; p <= (MainWindow.Options.CTFDoPhase ? 1f : 0f); p += 0.01f)
{
CTF CurrentParams = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
Defocus = (decimal)z,
PhaseShift = (decimal)p,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
float[] SimulatedCTF = CurrentParams.Get1D(PS1D.Length, true).Skip(MinFreqInclusive).Take(Math.Max(2, NFreq / 2)).ToArray();
MathHelper.NormalizeInPlace(SimulatedCTF);
float Score = MathHelper.CrossCorrelate(Subtracted1D, SimulatedCTF);
if (Score > BestScore)
{
BestScore = Score;
BestZ = z;
BestPhase = p;
}
}
}
CTF = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
Defocus = (decimal)BestZ,
PhaseShift = (decimal)BestPhase,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
UpdateRotationalAverage(true); // This doesn't have a nice background yet.
UpdateBackgroundFit(); // Now get a reasonably nice background.
}
// Fit defocus, (phase shift), (astigmatism) to average background-subtracted spectrum,
// which is in polar coords at this point (for equal weighting of all frequencies).
#region Grid search
{
Image CTFMeanPolarTrimmed = CTFMean.AsPolar((uint)MinFreqInclusive, (uint)(MinFreqInclusive + NFreq / 1));
// Subtract current background.
Image CurrentBackground = new Image(_SimulatedBackground.Interp(PS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq / 1).ToArray());
CTFMeanPolarTrimmed.SubtractFromLines(CurrentBackground);
CurrentBackground.Dispose();
/*Image WaterMask = new Image(new int3(NFreq, 1, 1));
float[] WaterData = WaterMask.GetHost(Intent.Write)[0];
for (int i = 0; i < NFreq; i++)
{
float f = (i + MinFreqInclusive) / (float)DimsRegion.X * 2f;
WaterData[i] = f > 0.2f && f < 0.6f ? 0f : 1f;
}
//CTFMeanPolarTrimmed.MultiplyLines(WaterMask);
WaterMask.Dispose();*/
// Normalize for CC (not strictly needed, but it's converted for fp16 later, so let's be on the safe side of the fp16 range.
GPU.Normalize(CTFMeanPolarTrimmed.GetDevice(Intent.Read), CTFMeanPolarTrimmed.GetDevice(Intent.Write), (uint)CTFMeanPolarTrimmed.ElementsReal, 1);
//CTFMeanPolarTrimmed.WriteMRC("ctfmeanpolartrimmed.mrc");
CTF StartParams = new CTF
{
PixelSize = (MainWindow.Options.CTFPixelMin + MainWindow.Options.CTFPixelMax) * 0.5M,
PixelSizeDelta = Math.Abs(MainWindow.Options.CTFPixelMax - MainWindow.Options.CTFPixelMin),
PixelSizeAngle = MainWindow.Options.CTFPixelAngle,
Defocus = CTF.Defocus,// (MainWindow.Options.CTFZMin + MainWindow.Options.CTFZMax) * 0.5M,
DefocusDelta = doastigmatism ? 0 : MainWindow.Options.CTFAstigmatism,
DefocusAngle = doastigmatism ? 0 : MainWindow.Options.CTFAstigmatismAngle,
Cs = MainWindow.Options.CTFCs,
Voltage = MainWindow.Options.CTFVoltage,
Amplitude = MainWindow.Options.CTFAmplitude
};
CTFFitStruct FitParams = new CTFFitStruct
{
//Pixelsize = new float3(-0.02e-10f, 0.02e-10f, 0.01e-10f),
//Pixeldelta = new float3(0.0f, 0.02e-10f, 0.01e-10f),
//Pixelangle = new float3(0, 2 * (float)Math.PI, 1 * (float)Math.PI / 18),
//Defocus = new float3((float)(MainWindow.Options.CTFZMin - StartParams.Defocus) * 1e-6f,
// (float)(MainWindow.Options.CTFZMax - StartParams.Defocus) * 1e-6f,
// 0.025e-6f),
Defocus = new float3(-0.4e-6f,
0.4e-6f,
0.025e-6f),
Defocusdelta = doastigmatism ? new float3(0, 0.8e-6f, 0.02e-6f) : new float3(0, 0, 0),
Astigmatismangle = doastigmatism ? new float3(0, 2 * (float)Math.PI, 1 * (float)Math.PI / 18) : new float3(0, 0, 0),
Phaseshift = MainWindow.Options.CTFDoPhase ? new float3(0, (float)Math.PI, 0.025f * (float)Math.PI) : new float3(0, 0, 0)
};
CTFStruct ResultStruct = GPU.CTFFitMean(CTFMeanPolarTrimmed.GetDevice(Intent.Read),
CTFCoordsPolarTrimmed.GetDevice(Intent.Read),
CTFMeanPolarTrimmed.DimsSlice,
StartParams.ToStruct(),
FitParams,
doastigmatism);
CTF.FromStruct(ResultStruct);
CTF.Defocus = Math.Max(CTF.Defocus, MainWindow.Options.CTFZMin);
CTFMeanPolarTrimmed.Dispose();
UpdateRotationalAverage(true); // This doesn't have a nice background yet.
UpdateBackgroundFit(); // Now get a reasonably nice background.
UpdateRotationalAverage(true); // This time, with the nice background.
UpdateBackgroundFit(); // Make the background even nicer!
}
#endregion
/*for (int i = 0; i < PS1D.Length; i++)
PS1D[i].Y -= SimulatedBackground.Interp(PS1D[i].X);
SimulatedBackground = new Cubic1D(SimulatedBackground.Data.Select(v => new float2(v.X, 0f)).ToArray());
OnPropertyChanged("PS1D");
CTFSpectra.Dispose();
CTFMean.Dispose();
CTFCoordsCart.Dispose();
CTFCoordsPolarTrimmed.Dispose();
Simulated1D = GetSimulated1D();
CTFQuality = GetCTFQuality();
return;*/
// Do BFGS optimization of defocus, astigmatism and phase shift,
// using 2D simulation for comparison
#region BFGS
bool[] CTFSpectraConsider = new bool[CTFSpectraGrid.Elements()];
for (int i = 0; i < CTFSpectraConsider.Length; i++)
CTFSpectraConsider[i] = true;
int NCTFSpectraConsider = CTFSpectraConsider.Length;
GridCTF = new CubicGrid(GridCTF.Dimensions, (float)CTF.Defocus, (float)CTF.Defocus, Dimension.X);
GridCTFPhase = new CubicGrid(GridCTFPhase.Dimensions, (float)CTF.PhaseShift, (float)CTF.PhaseShift, Dimension.X);
for (int preciseFit = 2; preciseFit < 3; preciseFit++)
{
NFreq = (MaxFreqExclusive - MinFreqInclusive) * (preciseFit + 1) / 3;
//if (preciseFit >= 2)
// NFreq = MaxFreqExclusive - MinFreqInclusive;
Image CTFSpectraPolarTrimmed = CTFSpectra.AsPolar((uint)MinFreqInclusive, (uint)(MinFreqInclusive + NFreq));
CTFSpectra.FreeDevice(); // This will only be needed again for the final PS1D.
#region Create background and scale
float[] CurrentScale = _SimulatedScale.Interp(PS1D.Select(p => p.X).ToArray());
Image CTFSpectraScale = new Image(new int3(NFreq, DimsRegion.X, 1));
float[] CTFSpectraScaleData = CTFSpectraScale.GetHost(Intent.Write)[0];
// Trim polar to relevant frequencies, and populate coordinates.
Parallel.For(0, DimsRegion.X, y =>
{
float Angle = ((float)y / DimsRegion.X + 0.5f) * (float)Math.PI;
for (int x = 0; x < NFreq; x++)
CTFSpectraScaleData[y * NFreq + x] = CurrentScale[x + MinFreqInclusive];
});
//CTFSpectraScale.WriteMRC("ctfspectrascale.mrc");
// Background is just 1 line since we're in polar.
Image CurrentBackground = new Image(_SimulatedBackground.Interp(PS1D.Select(p => p.X).ToArray()).Skip(MinFreqInclusive).Take(NFreq).ToArray());
#endregion
CTFSpectraPolarTrimmed.SubtractFromLines(CurrentBackground);
CurrentBackground.Dispose();
// Normalize background-subtracted spectra.
GPU.Normalize(CTFSpectraPolarTrimmed.GetDevice(Intent.Read),
CTFSpectraPolarTrimmed.GetDevice(Intent.Write),
(uint)CTFSpectraPolarTrimmed.ElementsSliceReal,
(uint)CTFSpectraGrid.Elements());
//CTFSpectraPolarTrimmed.WriteMRC("ctfspectrapolartrimmed.mrc");
#region Convert to fp16
Image CTFSpectraPolarTrimmedHalf = CTFSpectraPolarTrimmed.AsHalf();
CTFSpectraPolarTrimmed.Dispose();
Image CTFSpectraScaleHalf = CTFSpectraScale.AsHalf();
CTFSpectraScale.Dispose();
Image CTFCoordsPolarTrimmedHalf = CTFCoordsPolarTrimmed.AsHalf();
#endregion
// Wiggle weights show how the defocus on the spectra grid is altered
// by changes in individual anchor points of the spline grid.
// They are used later to compute the dScore/dDefocus values for each spectrum
// only once, and derive the values for each anchor point from them.
float[][] WiggleWeights = GridCTF.GetWiggleWeights(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 1f / (CTFGridZ + 1)));
float[][] WiggleWeightsPhase = GridCTFPhase.GetWiggleWeights(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 1f / (CTFGridZ + 1)));
// Helper method for getting CTFStructs for the entire spectra grid.
Func<double[], CTF, float[], float[], CTFStruct[]> EvalGetCTF = (input, ctf, defocusValues, phaseValues) =>
{
decimal AlteredDelta = (decimal)input[input.Length - 2];
decimal AlteredAngle = (decimal)(input[input.Length - 1] * 20 / (Math.PI / 180));
CTF Local = ctf.GetCopy();
Local.DefocusDelta = AlteredDelta;
Local.DefocusAngle = AlteredAngle;
CTFStruct LocalStruct = Local.ToStruct();
CTFStruct[] LocalParams = new CTFStruct[defocusValues.Length];
for (int i = 0; i < LocalParams.Length; i++)
{
LocalParams[i] = LocalStruct;
LocalParams[i].Defocus = defocusValues[i] * -1e-6f;
LocalParams[i].PhaseShift = phaseValues[i] * (float)Math.PI;
}
return LocalParams;
};
// Simulate with adjusted CTF, compare to originals
#region Eval and Gradient methods
float BorderZ = 0.5f / CTFGridZ;
Func<double[], double> Eval = input =>
{
CubicGrid Altered = new CubicGrid(GridCTF.Dimensions, input.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] DefocusValues = Altered.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CubicGrid AlteredPhase = new CubicGrid(GridCTFPhase.Dimensions, input.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] PhaseValues = AlteredPhase.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(input, CTF, DefocusValues, PhaseValues);
float[] Result = new float[LocalParams.Length];
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
Result,
(uint)LocalParams.Length);
float Score = 0;
for (int i = 0; i < Result.Length; i++)
if (CTFSpectraConsider[i])
Score += Result[i];
Score /= NCTFSpectraConsider;
if (float.IsNaN(Score) || float.IsInfinity(Score))
throw new Exception("Bad score.");
return (1.0 - Score) * 1000.0;
};
Func<double[], double[]> Gradient = input =>
{
const float Step = 0.005f;
double[] Result = new double[input.Length];
// In 0D grid case, just get gradient for all 4 parameters.
// In 1+D grid case, do simple gradient for astigmatism and phase...
int StartComponent = input.Length - 2;
//int StartComponent = 0;
for (int i = StartComponent; i < input.Length; i++)
{
double[] UpperInput = new double[input.Length];
input.CopyTo(UpperInput, 0);
UpperInput[i] += Step;
double UpperValue = Eval(UpperInput);
double[] LowerInput = new double[input.Length];
input.CopyTo(LowerInput, 0);
LowerInput[i] -= Step;
double LowerValue = Eval(LowerInput);
Result[i] = (UpperValue - LowerValue) / (2f * Step);
}
float[] ResultPlus = new float[CTFSpectraGrid.Elements()];
float[] ResultMinus = new float[CTFSpectraGrid.Elements()];
// ..., take shortcut for defoci...
{
CubicGrid AlteredPhase = new CubicGrid(GridCTFPhase.Dimensions, input.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] PhaseValues = AlteredPhase.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
{
CubicGrid AlteredPlus = new CubicGrid(GridCTF.Dimensions, input.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v + Step).ToArray());
float[] DefocusValues = AlteredPlus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(input, CTF, DefocusValues, PhaseValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultPlus,
(uint)LocalParams.Length);
}
{
CubicGrid AlteredMinus = new CubicGrid(GridCTF.Dimensions, input.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v - Step).ToArray());
float[] DefocusValues = AlteredMinus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(input, CTF, DefocusValues, PhaseValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultMinus,
(uint)LocalParams.Length);
}
float[] LocalGradients = new float[ResultPlus.Length];
for (int i = 0; i < LocalGradients.Length; i++)
LocalGradients[i] = ResultMinus[i] - ResultPlus[i];
// Now compute gradients per grid anchor point using the precomputed individual gradients and wiggle factors.
Parallel.For(0, GridCTF.Dimensions.Elements(), i => Result[i] = MathHelper.ReduceWeighted(LocalGradients, WiggleWeights[i]) / LocalGradients.Length / (2f * Step) * 1000f);
}
// ..., and take shortcut for phases.
if (MainWindow.Options.CTFDoPhase)
{
CubicGrid AlteredPlus = new CubicGrid(GridCTF.Dimensions, input.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] DefocusValues = AlteredPlus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
{
CubicGrid AlteredPhasePlus = new CubicGrid(GridCTFPhase.Dimensions, input.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v + Step).ToArray());
float[] PhaseValues = AlteredPhasePlus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(input, CTF, DefocusValues, PhaseValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultPlus,
(uint)LocalParams.Length);
}
{
CubicGrid AlteredPhaseMinus = new CubicGrid(GridCTFPhase.Dimensions, input.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v - Step).ToArray());
float[] PhaseValues = AlteredPhaseMinus.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(input, CTF, DefocusValues, PhaseValues);
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
ResultMinus,
(uint)LocalParams.Length);
}
float[] LocalGradients = new float[ResultPlus.Length];
for (int i = 0; i < LocalGradients.Length; i++)
LocalGradients[i] = ResultMinus[i] - ResultPlus[i];
// Now compute gradients per grid anchor point using the precomputed individual gradients and wiggle factors.
Parallel.For(0, GridCTFPhase.Dimensions.Elements(), i => Result[i + GridCTF.Dimensions.Elements()] = MathHelper.ReduceWeighted(LocalGradients, WiggleWeightsPhase[i]) / LocalGradients.Length / (2f * Step) * 1000f);
}
foreach (var i in Result)
if (double.IsNaN(i) || double.IsInfinity(i))
throw new Exception("Bad score.");
return Result;
};
#endregion
#region Minimize first time with potential outpiers
double[] StartParams = new double[GridCTF.Dimensions.Elements() + GridCTFPhase.Dimensions.Elements() + 2];
for (int i = 0; i < GridCTF.Dimensions.Elements(); i++)
StartParams[i] = GridCTF.FlatValues[i];
for (int i = 0; i < GridCTFPhase.Dimensions.Elements(); i++)
StartParams[i + GridCTF.Dimensions.Elements()] = GridCTFPhase.FlatValues[i];
StartParams[StartParams.Length - 2] = (double)CTF.DefocusDelta;
StartParams[StartParams.Length - 1] = (double)CTF.DefocusAngle / 20 * (Math.PI / 180);
// Compute correlation for individual spectra, and throw away those that are >.75 sigma worse than mean.
#region Discard outliers
if (CTFSpace || CTFTime)
{
CubicGrid Altered = new CubicGrid(GridCTF.Dimensions, StartParams.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] DefocusValues = Altered.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CubicGrid AlteredPhase = new CubicGrid(GridCTFPhase.Dimensions, StartParams.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v).ToArray());
float[] PhaseValues = AlteredPhase.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = EvalGetCTF(StartParams, CTF, DefocusValues, PhaseValues);
float[] Result = new float[LocalParams.Length];
GPU.CTFCompareToSim(CTFSpectraPolarTrimmedHalf.GetDevice(Intent.Read),
CTFCoordsPolarTrimmedHalf.GetDevice(Intent.Read),
CTFSpectraScaleHalf.GetDevice(Intent.Read),
(uint)CTFSpectraPolarTrimmedHalf.ElementsSliceReal,
LocalParams,
Result,
(uint)LocalParams.Length);
float MeanResult = MathHelper.Mean(Result);
float StdResult = MathHelper.StdDev(Result);
CTFSpectraConsider = new bool[CTFSpectraGrid.Elements()];
Parallel.For(0, CTFSpectraConsider.Length, i =>
{
//if (Result[i] > MeanResult - StdResult * 1.5f)
CTFSpectraConsider[i] = true;
/*else
{
CTFSpectraConsider[i] = false;
for (int j = 0; j < WiggleWeights.Length; j++)
// Make sure the spectrum's gradient doesn't affect the overall gradient.
WiggleWeights[j][i] = 0;
}*/
});
NCTFSpectraConsider = CTFSpectraConsider.Where(v => v).Count();
}
#endregion
BroydenFletcherGoldfarbShanno Optimizer = new BroydenFletcherGoldfarbShanno(StartParams.Length, Eval, Gradient)
{
Past = 1,
Delta = 1e-6,
MaxLineSearch = 15,
Corrections = 20
};
Optimizer.Minimize(StartParams);
#endregion
#region Retrieve parameters
CTF.Defocus = (decimal)MathHelper.Mean(Optimizer.Solution.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v));
CTF.DefocusDelta = (decimal)Optimizer.Solution[StartParams.Length - 2];
CTF.DefocusAngle = (decimal)(Optimizer.Solution[StartParams.Length - 1] * 20 / (Math.PI / 180));
CTF.PhaseShift = (decimal)MathHelper.Mean(Optimizer.Solution.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v));
if (CTF.DefocusDelta < 0)
{
CTF.DefocusAngle += 90;
CTF.DefocusDelta *= -1;
}
CTF.DefocusAngle = ((int)CTF.DefocusAngle + 180 * 99) % 180;
GridCTF = new CubicGrid(GridCTF.Dimensions, Optimizer.Solution.Take((int)GridCTF.Dimensions.Elements()).Select(v => (float)v).ToArray());
GridCTFPhase = new CubicGrid(GridCTFPhase.Dimensions, Optimizer.Solution.Skip((int)GridCTF.Dimensions.Elements()).Take((int)GridCTFPhase.Dimensions.Elements()).Select(v => (float)v).ToArray());
#endregion
// Dispose GPU resources manually because GC can't be bothered to do it in time.
CTFSpectraPolarTrimmedHalf.Dispose();
CTFCoordsPolarTrimmedHalf.Dispose();
CTFSpectraScaleHalf.Dispose();
#region Get nicer envelope fit
if (preciseFit >= 2)
{
if (!CTFSpace && !CTFTime)
{
UpdateRotationalAverage(true);
}
else
{
Image CTFSpectraBackground = new Image(new int3(DimsRegion), true);
float[] CTFSpectraBackgroundData = CTFSpectraBackground.GetHost(Intent.Write)[0];
// Construct background in Cartesian coordinates.
Helper.ForEachElementFT(DimsRegion, (x, y, xx, yy, r, a) =>
{
CTFSpectraBackgroundData[y * CTFSpectraBackground.DimsEffective.X + x] = _SimulatedBackground.Interp(r / DimsRegion.X);
});
CTFSpectra.SubtractFromSlices(CTFSpectraBackground);
float[] DefocusValues = GridCTF.GetInterpolatedNative(CTFSpectraGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, BorderZ));
CTFStruct[] LocalParams = DefocusValues.Select(v =>
{
CTF Local = CTF.GetCopy();
Local.Defocus = (decimal)v + 0.0M;
return Local.ToStruct();
}).ToArray();
Image CTFAverage1D = new Image(IntPtr.Zero, new int3(DimsRegion.X / 2, 1, 1));
CTF CTFAug = CTF.GetCopy();
CTFAug.Defocus += 0.0M;
GPU.CTFMakeAverage(CTFSpectra.GetDevice(Intent.Read),
CTFCoordsCart.GetDevice(Intent.Read),
(uint)CTFSpectra.ElementsSliceReal,
(uint)DimsRegion.X,
LocalParams,
CTFAug.ToStruct(),
0,
(uint)DimsRegion.X / 2,
CTFSpectraConsider.Select(v => v ? 1 : 0).ToArray(),
(uint)CTFSpectraGrid.Elements(),
CTFAverage1D.GetDevice(Intent.Write));
CTFSpectra.AddToSlices(CTFSpectraBackground);
float[] RotationalAverageData = CTFAverage1D.GetHost(Intent.Read)[0];
float2[] ForPS1D = new float2[PS1D.Length];
for (int i = 0; i < ForPS1D.Length; i++)
ForPS1D[i] = new float2((float)i / DimsRegion.X, (float)Math.Round(RotationalAverageData[i], 4) + _SimulatedBackground.Interp((float)i / DimsRegion.X));
MathHelper.UnNaN(ForPS1D);
_PS1D = ForPS1D;
CTFSpectraBackground.Dispose();
CTFAverage1D.Dispose();
CTFSpectra.FreeDevice();
}
CTF.Defocus = Math.Max(CTF.Defocus, MainWindow.Options.CTFZMin);
UpdateBackgroundFit();
}
#endregion
}
#endregion
// Subtract background from 2D average and write it to disk.
// This image is used for quick visualization purposes only.
#region PS2D update
{
int3 DimsAverage = new int3(DimsRegion.X, DimsRegion.X / 2, 1);
float[] Average2DData = new float[DimsAverage.Elements()];
float[] OriginalAverageData = CTFMean.GetHost(Intent.Read)[0];
for (int y = 0; y < DimsAverage.Y; y++)
{
int yy = y * y;
for (int x = 0; x < DimsAverage.Y; x++)
{
int xx = DimsRegion.X / 2 - x - 1;
xx *= xx;
float r = (float)Math.Sqrt(xx + yy) / DimsRegion.X;
Average2DData[y * DimsAverage.X + x] = OriginalAverageData[(y + DimsRegion.X / 2) * (DimsRegion.X / 2 + 1) + x] - SimulatedBackground.Interp(r);
}
for (int x = 0; x < DimsRegion.X / 2; x++)
{
int xx = x * x;
float r = (float)Math.Sqrt(xx + yy) / DimsRegion.X;
Average2DData[y * DimsAverage.X + x + DimsRegion.X / 2] = OriginalAverageData[(DimsRegion.X / 2 - y) * (DimsRegion.X / 2 + 1) + (DimsRegion.X / 2 - 1 - x)] - SimulatedBackground.Interp(r);
}
}
IOHelper.WriteMapFloat(PowerSpectrumPath,
new HeaderMRC
{
Dimensions = DimsAverage,
MinValue = MathHelper.Min(Average2DData),
MaxValue = MathHelper.Max(Average2DData)
},
Average2DData);
PS2DTemp = null;
OnPropertyChanged("PS2D");
}
#endregion
for (int i = 0; i < PS1D.Length; i++)
PS1D[i].Y -= SimulatedBackground.Interp(PS1D[i].X);
SimulatedBackground = new Cubic1D(SimulatedBackground.Data.Select(v => new float2(v.X, 0f)).ToArray());
OnPropertyChanged("PS1D");
CTFSpectra.Dispose();
CTFMean.Dispose();
CTFCoordsCart.Dispose();
CTFCoordsPolarTrimmed.Dispose();
Simulated1D = GetSimulated1D();
CTFQuality = GetCTFQuality();
SaveMeta();
}