public void ProcessShift(MapHeader originalHeader, Image originalStack, decimal scaleFactor)
{
// Deal with dimensions and grids.
int NFrames = originalHeader.Dimensions.Z;
int2 DimsImage = new int2(originalHeader.Dimensions);
int2 DimsRegion = new int2(768, 768);
float OverlapFraction = 0.0f;
int2 DimsPositionGrid;
int3[] PositionGrid = Helper.GetEqualGridSpacing(DimsImage, DimsRegion, OverlapFraction, out DimsPositionGrid);
//PositionGrid = new[] { new int3(0, 0, 0) };
//DimsPositionGrid = new int2(1, 1);
int NPositions = PositionGrid.Length;
int ShiftGridX = 1;
int ShiftGridY = 1;
int ShiftGridZ = Math.Min(NFrames, MainWindow.Options.GridMoveZ);
GridMovementX = new CubicGrid(new int3(ShiftGridX, ShiftGridY, ShiftGridZ));
GridMovementY = new CubicGrid(new int3(ShiftGridX, ShiftGridY, ShiftGridZ));
int LocalGridX = Math.Min(DimsPositionGrid.X, MainWindow.Options.GridMoveX);
int LocalGridY = Math.Min(DimsPositionGrid.Y, MainWindow.Options.GridMoveY);
int LocalGridZ = Math.Min(2, NFrames);
GridLocalX = new CubicGrid(new int3(LocalGridX, LocalGridY, LocalGridZ));
GridLocalY = new CubicGrid(new int3(LocalGridX, LocalGridY, LocalGridZ));
int3 ShiftGrid = new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames);
int MinFreqInclusive = (int)(MainWindow.Options.MovementRangeMin * DimsRegion.X / 2);
int MaxFreqExclusive = (int)(MainWindow.Options.MovementRangeMax * DimsRegion.X / 2);
int NFreq = MaxFreqExclusive - MinFreqInclusive;
int CentralFrame = NFrames / 2;
int MaskExpansions = Math.Max(1, ShiftGridZ / 3);
int[] MaskSizes = new int[MaskExpansions];
// Allocate memory and create all prerequisites:
int MaskLength;
Image ShiftFactors;
Image Phases;
Image PhasesAverage;
Image Shifts;
{
List<long> Positions = new List<long>();
List<float2> Factors = new List<float2>();
List<float2> Freq = new List<float2>();
int Min2 = MinFreqInclusive * MinFreqInclusive;
int Max2 = MaxFreqExclusive * MaxFreqExclusive;
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;
for (int y = 0; y < DimsRegion.Y; y++)
{
int yy = y - DimsRegion.X / 2;
for (int x = 0; x < DimsRegion.X / 2 + 1; x++)
{
int xx = x - DimsRegion.X / 2;
int r2 = xx * xx + yy * yy;
if (r2 >= Min2 && r2 < Max2)
{
Positions.Add(y * (DimsRegion.X / 2 + 1) + x);
Factors.Add(new float2((float)xx / DimsRegion.X * 2f * (float)Math.PI,
(float)yy / DimsRegion.X * 2f * (float)Math.PI));
float Angle = (float)Math.Atan2(yy, xx);
float r = (float)Math.Sqrt(r2);
Freq.Add(new float2(r, Angle));
}
}
}
// Sort everyone with ascending distance from center.
List<KeyValuePair<float, int>> FreqIndices = Freq.Select((v, i) => new KeyValuePair<float, int>(v.X, i)).ToList();
FreqIndices.Sort((a, b) => a.Key.CompareTo(b.Key));
int[] SortedIndices = FreqIndices.Select(v => v.Value).ToArray();
Helper.Reorder(Positions, SortedIndices);
Helper.Reorder(Factors, SortedIndices);
Helper.Reorder(Freq, SortedIndices);
float Bfac = (float)MainWindow.Options.MovementBfactor * 0.25f / PixelSize / DimsRegion.X;
float2[] BfacWeightsData = Freq.Select(v => (float)Math.Exp(v.X * Bfac)).Select(v => new float2(v, v)).ToArray();
Image BfacWeights = new Image(Helper.ToInterleaved(BfacWeightsData), false, false, false);
long[] RelevantMask = Positions.ToArray();
ShiftFactors = new Image(Helper.ToInterleaved(Factors.ToArray()));
MaskLength = RelevantMask.Length;
// Get mask sizes for different expansion steps.
for (int i = 0; i < MaskExpansions; i++)
{
float CurrentMaxFreq = MinFreqInclusive + (MaxFreqExclusive - MinFreqInclusive) / (float)MaskExpansions * (i + 1);
MaskSizes[i] = Freq.Count(v => v.X * v.X < CurrentMaxFreq * CurrentMaxFreq);
}
Phases = new Image(IntPtr.Zero, new int3(MaskLength * 2, DimsPositionGrid.X * DimsPositionGrid.Y, NFrames), false, false, false);
GPU.CreateShift(originalStack.GetDevice(Intent.Read),
new int2(originalHeader.Dimensions),
originalHeader.Dimensions.Z,
PositionGrid,
PositionGrid.Length,
DimsRegion,
RelevantMask,
(uint)MaskLength,
Phases.GetDevice(Intent.Write));
Phases.MultiplyLines(BfacWeights);
BfacWeights.Dispose();
originalStack.FreeDevice();
PhasesAverage = new Image(IntPtr.Zero, new int3(MaskLength, NPositions, 1), false, true, false);
Shifts = new Image(new float[NPositions * NFrames * 2]);
}
#region Fit global movement
{
int MinXSteps = 1, MinYSteps = 1;
int MinZSteps = Math.Min(NFrames, 3);
int3 ExpansionGridSize = new int3(MinXSteps, MinYSteps, MinZSteps);
float[][] WiggleWeights = new CubicGrid(ExpansionGridSize).GetWiggleWeights(ShiftGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
double[] StartParams = new double[ExpansionGridSize.Elements() * 2];
for (int m = 0; m < MaskExpansions; m++)
{
double[] LastAverage = null;
Action<double[]> SetPositions = input =>
{
// Construct CubicGrids and get interpolated shift values.
CubicGrid AlteredGridX = new CubicGrid(ExpansionGridSize, input.Where((v, i) => i % 2 == 0).Select(v => (float)v).ToArray());
float[] AlteredX = AlteredGridX.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
CubicGrid AlteredGridY = new CubicGrid(ExpansionGridSize, input.Where((v, i) => i % 2 == 1).Select(v => (float)v).ToArray());
float[] AlteredY = AlteredGridY.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
// Let movement start at 0 in the central frame.
/*float2[] CenterFrameOffsets = new float2[NPositions];
for (int i = 0; i < NPositions; i++)
CenterFrameOffsets[i] = new float2(AlteredX[CentralFrame * NPositions + i], AlteredY[CentralFrame * NPositions + i]);*/
// Finally, set the shift values in the device array.
float[] ShiftData = Shifts.GetHost(Intent.Write)[0];
Parallel.For(0, AlteredX.Length, i =>
{
ShiftData[i * 2] = AlteredX[i];// - CenterFrameOffsets[i % NPositions].X;
ShiftData[i * 2 + 1] = AlteredY[i];// - CenterFrameOffsets[i % NPositions].Y;
});
};
Action<double[]> DoAverage = input =>
{
if (LastAverage == null || input.Where((t, i) => t != LastAverage[i]).Any())
{
SetPositions(input);
GPU.ShiftGetAverage(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Write),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
(uint)NPositions,
(uint)NFrames);
if (LastAverage == null)
LastAverage = new double[input.Length];
Array.Copy(input, LastAverage, input.Length);
}
};
Func<double[], double> Eval = input =>
{
DoAverage(input);
float[] Diff = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
Diff,
(uint)NPositions,
(uint)NFrames);
for (int i = 0; i < Diff.Length; i++)
Diff[i] = Diff[i];// * 100f;
return Diff.Sum();
};
Func<double[], double[]> Grad = input =>
{
DoAverage(input);
float[] GradX = new float[NPositions * NFrames], GradY = new float[NPositions * NFrames];
float[] Diff = new float[NPositions * NFrames * 2];
GPU.ShiftGetGrad(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
Diff,
(uint)NPositions,
(uint)NFrames);
//for (int i = 0; i < Diff.Length; i++)
//Diff[i] = Diff[i] * 100f;
for (int i = 0; i < GradX.Length; i++)
{
GradX[i] = Diff[i * 2];
GradY[i] = Diff[i * 2 + 1];
}
double[] Result = new double[input.Length];
Parallel.For(0, input.Length / 2, i =>
{
Result[i * 2] = MathHelper.ReduceWeighted(GradX, WiggleWeights[i]);
Result[i * 2 + 1] = MathHelper.ReduceWeighted(GradY, WiggleWeights[i]);
});
return Result;
};
/*Func<double[], double[]> Grad = input =>
{
DoAverage(input);
float[] GradX = new float[NPositions * NFrames], GradY = new float[NPositions * NFrames];
float Step = 0.002f;
{
double[] InputXP = new double[input.Length];
for (int i = 0; i < input.Length; i++)
if (i % 2 == 0)
InputXP[i] = input[i] + Step;
else
InputXP[i] = input[i];
SetPositions(InputXP);
float[] DiffXP = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
DiffXP,
(uint)NPositions,
(uint)NFrames);
double[] InputXM = new double[input.Length];
for (int i = 0; i < input.Length; i++)
if (i % 2 == 0)
InputXM[i] = input[i] - Step;
else
InputXM[i] = input[i];
SetPositions(InputXM);
float[] DiffXM = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
DiffXM,
(uint)NPositions,
(uint)NFrames);
for (int i = 0; i < GradX.Length; i++)
GradX[i] = (DiffXP[i] - DiffXM[i]) / (Step * 2);
}
{
double[] InputYP = new double[input.Length];
for (int i = 0; i < input.Length; i++)
if (i % 2 == 1)
InputYP[i] = input[i] + Step;
else
InputYP[i] = input[i];
SetPositions(InputYP);
float[] DiffYP = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
DiffYP,
(uint)NPositions,
(uint)NFrames);
double[] InputYM = new double[input.Length];
for (int i = 0; i < input.Length; i++)
if (i % 2 == 1)
InputYM[i] = input[i] - Step;
else
InputYM[i] = input[i];
SetPositions(InputYM);
float[] DiffYM = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
DiffYM,
(uint)NPositions,
(uint)NFrames);
for (int i = 0; i < GradY.Length; i++)
GradY[i] = (DiffYP[i] - DiffYM[i]) / (Step * 2);
}
double[] Result = new double[input.Length];
Parallel.For(0, input.Length / 2, i =>
{
Result[i * 2] = MathHelper.ReduceWeighted(GradX, WiggleWeights[i]);
Result[i * 2 + 1] = MathHelper.ReduceWeighted(GradY, WiggleWeights[i]);
});
return Result;
};*/
BroydenFletcherGoldfarbShanno Optimizer = new BroydenFletcherGoldfarbShanno(StartParams.Length, Eval, Grad);
Optimizer.Corrections = 20;
Optimizer.Minimize(StartParams);
float MeanX = MathHelper.Mean(Optimizer.Solution.Where((v, i) => i % 2 == 0).Select(v => (float)v));
float MeanY = MathHelper.Mean(Optimizer.Solution.Where((v, i) => i % 2 == 1).Select(v => (float)v));
for (int i = 0; i < ExpansionGridSize.Elements(); i++)
{
Optimizer.Solution[i * 2] -= MeanX;
Optimizer.Solution[i * 2 + 1] -= MeanY;
}
// Store coarse values in grids.
GridMovementX = new CubicGrid(ExpansionGridSize, Optimizer.Solution.Where((v, i) => i % 2 == 0).Select(v => (float)v).ToArray());
GridMovementY = new CubicGrid(ExpansionGridSize, Optimizer.Solution.Where((v, i) => i % 2 == 1).Select(v => (float)v).ToArray());
if (m < MaskExpansions - 1)
{
// Refine sampling.
ExpansionGridSize = new int3((int)Math.Round((float)(ShiftGridX - MinXSteps) / (MaskExpansions - 1) * (m + 1) + MinXSteps),
(int)Math.Round((float)(ShiftGridY - MinYSteps) / (MaskExpansions - 1) * (m + 1) + MinYSteps),
(int)Math.Round((float)(ShiftGridZ - MinZSteps) / (MaskExpansions - 1) * (m + 1) + MinZSteps));
WiggleWeights = new CubicGrid(ExpansionGridSize).GetWiggleWeights(ShiftGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
// Resize the grids to account for finer sampling.
GridMovementX = GridMovementX.Resize(ExpansionGridSize);
GridMovementY = GridMovementY.Resize(ExpansionGridSize);
// Construct start parameters for next optimization iteration.
StartParams = new double[ExpansionGridSize.Elements() * 2];
for (int i = 0; i < ExpansionGridSize.Elements(); i++)
{
StartParams[i * 2] = GridMovementX.FlatValues[i];
StartParams[i * 2 + 1] = GridMovementY.FlatValues[i];
}
}
}
}
#endregion
// Center the global shifts
/*{
float2[] AverageShifts = new float2[ShiftGridZ];
for (int i = 0; i < AverageShifts.Length; i++)
AverageShifts[i] = new float2(MathHelper.Mean(GridMovementX.GetSliceXY(i)),
MathHelper.Mean(GridMovementY.GetSliceXY(i)));
float2 CenterShift = MathHelper.Mean(AverageShifts);
GridMovementX = new CubicGrid(GridMovementX.Dimensions, GridMovementX.FlatValues.Select(v => v - CenterShift.X).ToArray());
GridMovementY = new CubicGrid(GridMovementY.Dimensions, GridMovementY.FlatValues.Select(v => v - CenterShift.Y).ToArray());
}*/
#region Fit local movement
/*{
int MinXSteps = LocalGridX, MinYSteps = LocalGridY;
int MinZSteps = LocalGridZ;
int3 ExpansionGridSize = new int3(MinXSteps, MinYSteps, MinZSteps);
float[][] WiggleWeights = new CubicGrid(ExpansionGridSize).GetWiggleWeights(ShiftGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
double[] StartParams = new double[ExpansionGridSize.Elements() * 2];
for (int m = MaskExpansions - 1; m < MaskExpansions; m++)
{
double[] LastAverage = null;
Action<double[]> SetPositions = input =>
{
// Construct CubicGrids and get interpolated shift values.
float[] GlobalX = GridMovementX.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
CubicGrid AlteredGridX = new CubicGrid(ExpansionGridSize, input.Where((v, i) => i % 2 == 0).Select(v => (float)v).ToArray());
float[] AlteredX = AlteredGridX.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
AlteredX = MathHelper.Plus(GlobalX, AlteredX);
float[] GlobalY = GridMovementY.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
CubicGrid AlteredGridY = new CubicGrid(ExpansionGridSize, input.Where((v, i) => i % 2 == 1).Select(v => (float)v).ToArray());
float[] AlteredY = AlteredGridY.GetInterpolatedNative(new int3(DimsPositionGrid.X, DimsPositionGrid.Y, NFrames),
new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
AlteredY = MathHelper.Plus(GlobalY, AlteredY);
// Let movement start at 0 in the central frame.
float2[] CenterFrameOffsets = new float2[NPositions];
for (int i = 0; i < NPositions; i++)
CenterFrameOffsets[i] = new float2(AlteredX[CentralFrame * NPositions + i], AlteredY[CentralFrame * NPositions + i]);
// Finally, set the shift values in the device array.
float[] ShiftData = Shifts.GetHost(Intent.Write)[0];
Parallel.For(0, AlteredX.Length, i =>
{
ShiftData[i * 2] = AlteredX[i] - CenterFrameOffsets[i % NPositions].X;
ShiftData[i * 2 + 1] = AlteredY[i] - CenterFrameOffsets[i % NPositions].Y;
});
};
Action<double[]> DoAverage = input =>
{
if (LastAverage == null || input.Where((t, i) => t != LastAverage[i]).Any())
{
SetPositions(input);
GPU.ShiftGetAverage(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Write),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
(uint)NPositions,
(uint)NFrames);
if (LastAverage == null)
LastAverage = new double[input.Length];
Array.Copy(input, LastAverage, input.Length);
}
};
Func<double[], double> Eval = input =>
{
DoAverage(input);
float[] Diff = new float[NPositions * NFrames];
GPU.ShiftGetDiff(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
Diff,
(uint)NPositions,
(uint)NFrames);
for (int i = 0; i < Diff.Length; i++)
Diff[i] = Diff[i] * 100f;
return MathHelper.Mean(Diff);
};
Func<double[], double[]> Grad = input =>
{
DoAverage(input);
float[] Diff = new float[NPositions * NFrames * 2];
GPU.ShiftGetGrad(Phases.GetDevice(Intent.Read),
PhasesAverage.GetDevice(Intent.Read),
ShiftFactors.GetDevice(Intent.Read),
(uint)MaskLength,
(uint)MaskSizes[m],
Shifts.GetDevice(Intent.Read),
Diff,
(uint)NPositions,
(uint)NFrames);
for (int i = 0; i < Diff.Length; i++)
Diff[i] = Diff[i] * 100f;
float[] DiffX = new float[NPositions * NFrames], DiffY = new float[NPositions * NFrames];
for (int i = 0; i < DiffX.Length; i++)
{
DiffX[i] = Diff[i * 2];
DiffY[i] = Diff[i * 2 + 1];
}
double[] Result = new double[input.Length];
Parallel.For(0, input.Length / 2, i =>
{
Result[i * 2] = MathHelper.ReduceWeighted(DiffX, WiggleWeights[i]);
Result[i * 2 + 1] = MathHelper.ReduceWeighted(DiffY, WiggleWeights[i]);
});
return Result;
};
BroydenFletcherGoldfarbShanno Optimizer = new BroydenFletcherGoldfarbShanno(StartParams.Length, Eval, Grad);
Optimizer.Corrections = 20;
Optimizer.Minimize(StartParams);
float MeanX = MathHelper.Mean(Optimizer.Solution.Where((v, i) => i % 2 == 0).Select(v => (float)v));
float MeanY = MathHelper.Mean(Optimizer.Solution.Where((v, i) => i % 2 == 1).Select(v => (float)v));
for (int i = 0; i < ExpansionGridSize.Elements(); i++)
{
Optimizer.Solution[i * 2] -= MeanX;
Optimizer.Solution[i * 2 + 1] -= MeanY;
}
// Store coarse values in grids.
GridLocalX = new CubicGrid(ExpansionGridSize, Optimizer.Solution.Where((v, i) => i % 2 == 0).Select(v => (float)v).ToArray());
GridLocalY = new CubicGrid(ExpansionGridSize, Optimizer.Solution.Where((v, i) => i % 2 == 1).Select(v => (float)v).ToArray());
if (m < MaskExpansions - 1)
{
// Refine sampling.
ExpansionGridSize = new int3((int)Math.Round((float)(LocalGridX - MinXSteps) / (MaskExpansions - 1) * (m + 1) + MinXSteps),
(int)Math.Round((float)(LocalGridY - MinYSteps) / (MaskExpansions - 1) * (m + 1) + MinYSteps),
(int)Math.Round((float)(LocalGridZ - MinZSteps) / (MaskExpansions - 1) * (m + 1) + MinZSteps));
WiggleWeights = new CubicGrid(ExpansionGridSize).GetWiggleWeights(ShiftGrid, new float3(DimsRegion.X / 2f / DimsImage.X, DimsRegion.Y / 2f / DimsImage.Y, 0f));
// Resize the grids to account for finer sampling.
GridLocalX = GridLocalX.Resize(ExpansionGridSize);
GridLocalY = GridLocalY.Resize(ExpansionGridSize);
// Construct start parameters for next optimization iteration.
StartParams = new double[ExpansionGridSize.Elements() * 2];
for (int i = 0; i < ExpansionGridSize.Elements(); i++)
{
StartParams[i * 2] = GridLocalX.FlatValues[i];
StartParams[i * 2 + 1] = GridLocalY.FlatValues[i];
}
}
}
}*/
#endregion
ShiftFactors.Dispose();
Phases.Dispose();
PhasesAverage.Dispose();
Shifts.Dispose();
// Center the local shifts
/*{
float2[] AverageShifts = new float2[LocalGridZ];
for (int i = 0; i < AverageShifts.Length; i++)
AverageShifts[i] = new float2(MathHelper.Mean(GridLocalX.GetSliceXY(i)),
MathHelper.Mean(GridLocalY.GetSliceXY(i)));
float2 CenterShift = MathHelper.Mean(AverageShifts);
GridLocalX = new CubicGrid(GridLocalX.Dimensions, GridLocalX.FlatValues.Select(v => v - CenterShift.X).ToArray());
GridLocalY = new CubicGrid(GridLocalY.Dimensions, GridLocalY.FlatValues.Select(v => v - CenterShift.Y).ToArray());
}*/
SaveMeta();
}