void Contrast(ImagePlus imp, int radius, double par1, double par2, boolean doIwhite) {
// G. Landini, 2013
// Based on a simple contrast toggle. This procedure does not have user-provided paramters other
// than the kernel radius
// Sets the pixel value to either white or black depending on whether its current value is
// closest to the local Max or Min respectively
// The procedure is similar to Toggle Contrast Enhancement (see Soille, Morphological Image
// Analysis (2004), p. 259
ImagePlus Maximp, Minimp;
ImageProcessor ip = imp.getProcessor(), ipMax, ipMin;
int c_value = 0;
int mid_gray;
byte object;
byte backg;
if (doIwhite) {
object = (byte) 0xff;
backg = (byte) 0;
} else {
object = (byte) 0;
backg = (byte) 0xff;
}
Maximp = duplicateImage(ip);
ipMax = Maximp.getProcessor();
RankFilters rf = new RankFilters();
rf.rank(ipMax, radius, rf.MAX); // Maximum
// Maximp.show();
Minimp = duplicateImage(ip);
ipMin = Minimp.getProcessor();
rf.rank(ipMin, radius, rf.MIN); // Minimum
// Minimp.show();
byte[] pixels = (byte[]) ip.getPixels();
byte[] max = (byte[]) ipMax.getPixels();
byte[] min = (byte[]) ipMin.getPixels();
for (int i = 0; i < pixels.length; i++) {
pixels[i] =
((Math.abs((int) (max[i] & 0xff - pixels[i] & 0xff))
<= Math.abs((int) (pixels[i] & 0xff - min[i] & 0xff))))
? object
: backg;
}
// imp.updateAndDraw();
return;
}
/*------------------------------------------------------------------*/
double getInitialCausalCoefficientMirrorOnBounds(double[] c, double z, double tolerance) {
double z1 = z, zn = Math.pow(z, c.length - 1);
double sum = c[0] + zn * c[c.length - 1];
int horizon = c.length;
if (0.0 < tolerance) {
horizon = 2 + (int) (Math.log(tolerance) / Math.log(Math.abs(z)));
horizon = (horizon < c.length) ? (horizon) : (c.length);
}
zn = zn * zn;
for (int n = 1; (n < (horizon - 1)); n++) {
zn = zn / z;
sum = sum + (z1 + zn) * c[n];
z1 = z1 * z;
}
return (sum / (1.0 - Math.pow(z, 2 * c.length - 2)));
} /* end getInitialCausalCoefficientMirrorOnBounds */
/*
if selection is closed shape, create a circle with the same area and centroid, otherwise use<br>
the Pratt method to fit a circle to the points that define the line or multi-point selection.<br>
Reference: Pratt V., Direct least-squares fitting of algebraic surfaces", Computer Graphics, Vol. 21, pages 145-152 (1987).<br>
Original code: Nikolai Chernov's MATLAB script for Newton-based Pratt fit.<br>
(http://www.math.uab.edu/~chernov/cl/MATLABcircle.html)<br>
Java version: https://github.com/mdoube/BoneJ/blob/master/src/org/doube/geometry/FitCircle.java<br>
@authors Nikolai Chernov, Michael Doube, Ved Sharma
*/
void fitCircle(ImagePlus imp) {
Roi roi = imp.getRoi();
if (roi == null) {
noRoi("Fit Circle");
return;
}
if (roi.isArea()) { // create circle with the same area and centroid
ImageProcessor ip = imp.getProcessor();
ip.setRoi(roi);
ImageStatistics stats =
ImageStatistics.getStatistics(ip, Measurements.AREA + Measurements.CENTROID, null);
double r = Math.sqrt(stats.pixelCount / Math.PI);
imp.killRoi();
int d = (int) Math.round(2.0 * r);
IJ.makeOval(
(int) Math.round(stats.xCentroid - r), (int) Math.round(stats.yCentroid - r), d, d);
return;
}
Polygon poly = roi.getPolygon();
int n = poly.npoints;
int[] x = poly.xpoints;
int[] y = poly.ypoints;
if (n < 3) {
IJ.error("Fit Circle", "At least 3 points are required to fit a circle.");
return;
}
// calculate point centroid
double sumx = 0, sumy = 0;
for (int i = 0; i < n; i++) {
sumx = sumx + poly.xpoints[i];
sumy = sumy + poly.ypoints[i];
}
double meanx = sumx / n;
double meany = sumy / n;
// calculate moments
double[] X = new double[n], Y = new double[n];
double Mxx = 0, Myy = 0, Mxy = 0, Mxz = 0, Myz = 0, Mzz = 0;
for (int i = 0; i < n; i++) {
X[i] = x[i] - meanx;
Y[i] = y[i] - meany;
double Zi = X[i] * X[i] + Y[i] * Y[i];
Mxy = Mxy + X[i] * Y[i];
Mxx = Mxx + X[i] * X[i];
Myy = Myy + Y[i] * Y[i];
Mxz = Mxz + X[i] * Zi;
Myz = Myz + Y[i] * Zi;
Mzz = Mzz + Zi * Zi;
}
Mxx = Mxx / n;
Myy = Myy / n;
Mxy = Mxy / n;
Mxz = Mxz / n;
Myz = Myz / n;
Mzz = Mzz / n;
// calculate the coefficients of the characteristic polynomial
double Mz = Mxx + Myy;
double Cov_xy = Mxx * Myy - Mxy * Mxy;
double Mxz2 = Mxz * Mxz;
double Myz2 = Myz * Myz;
double A2 = 4 * Cov_xy - 3 * Mz * Mz - Mzz;
double A1 = Mzz * Mz + 4 * Cov_xy * Mz - Mxz2 - Myz2 - Mz * Mz * Mz;
double A0 = Mxz2 * Myy + Myz2 * Mxx - Mzz * Cov_xy - 2 * Mxz * Myz * Mxy + Mz * Mz * Cov_xy;
double A22 = A2 + A2;
double epsilon = 1e-12;
double ynew = 1e+20;
int IterMax = 20;
double xnew = 0;
int iterations = 0;
// Newton's method starting at x=0
for (int iter = 1; iter <= IterMax; iter++) {
iterations = iter;
double yold = ynew;
ynew = A0 + xnew * (A1 + xnew * (A2 + 4. * xnew * xnew));
if (Math.abs(ynew) > Math.abs(yold)) {
if (IJ.debugMode) IJ.log("Fit Circle: wrong direction: |ynew| > |yold|");
xnew = 0;
break;
}
double Dy = A1 + xnew * (A22 + 16 * xnew * xnew);
double xold = xnew;
xnew = xold - ynew / Dy;
if (Math.abs((xnew - xold) / xnew) < epsilon) break;
if (iter >= IterMax) {
if (IJ.debugMode) IJ.log("Fit Circle: will not converge");
xnew = 0;
}
if (xnew < 0) {
if (IJ.debugMode) IJ.log("Fit Circle: negative root: x = " + xnew);
xnew = 0;
}
}
if (IJ.debugMode)
IJ.log("Fit Circle: n=" + n + ", xnew=" + IJ.d2s(xnew, 2) + ", iterations=" + iterations);
// calculate the circle parameters
double DET = xnew * xnew - xnew * Mz + Cov_xy;
double CenterX = (Mxz * (Myy - xnew) - Myz * Mxy) / (2 * DET);
double CenterY = (Myz * (Mxx - xnew) - Mxz * Mxy) / (2 * DET);
double radius = Math.sqrt(CenterX * CenterX + CenterY * CenterY + Mz + 2 * xnew);
if (Double.isNaN(radius)) {
IJ.error("Fit Circle", "Points are collinear.");
return;
}
CenterX = CenterX + meanx;
CenterY = CenterY + meany;
imp.killRoi();
IJ.makeOval(
(int) Math.round(CenterX - radius),
(int) Math.round(CenterY - radius),
(int) Math.round(2 * radius),
(int) Math.round(2 * radius));
}
String getInfo(ImagePlus imp, ImageProcessor ip) {
String s = new String("\n");
s += "Title: " + imp.getTitle() + "\n";
Calibration cal = imp.getCalibration();
int stackSize = imp.getStackSize();
int channels = imp.getNChannels();
int slices = imp.getNSlices();
int frames = imp.getNFrames();
int digits = imp.getBitDepth() == 32 ? 4 : 0;
if (cal.scaled()) {
String unit = cal.getUnit();
String units = cal.getUnits();
s +=
"Width: "
+ IJ.d2s(imp.getWidth() * cal.pixelWidth, 2)
+ " "
+ units
+ " ("
+ imp.getWidth()
+ ")\n";
s +=
"Height: "
+ IJ.d2s(imp.getHeight() * cal.pixelHeight, 2)
+ " "
+ units
+ " ("
+ imp.getHeight()
+ ")\n";
if (slices > 1)
s += "Depth: " + IJ.d2s(slices * cal.pixelDepth, 2) + " " + units + " (" + slices + ")\n";
double xResolution = 1.0 / cal.pixelWidth;
double yResolution = 1.0 / cal.pixelHeight;
int places = Tools.getDecimalPlaces(xResolution, yResolution);
if (xResolution == yResolution)
s += "Resolution: " + IJ.d2s(xResolution, places) + " pixels per " + unit + "\n";
else {
s += "X Resolution: " + IJ.d2s(xResolution, places) + " pixels per " + unit + "\n";
s += "Y Resolution: " + IJ.d2s(yResolution, places) + " pixels per " + unit + "\n";
}
} else {
s += "Width: " + imp.getWidth() + " pixels\n";
s += "Height: " + imp.getHeight() + " pixels\n";
if (stackSize > 1) s += "Depth: " + slices + " pixels\n";
}
if (stackSize > 1)
s +=
"Voxel size: "
+ d2s(cal.pixelWidth)
+ "x"
+ d2s(cal.pixelHeight)
+ "x"
+ d2s(cal.pixelDepth)
+ " "
+ cal.getUnit()
+ "\n";
else
s +=
"Pixel size: "
+ d2s(cal.pixelWidth)
+ "x"
+ d2s(cal.pixelHeight)
+ " "
+ cal.getUnit()
+ "\n";
s += "ID: " + imp.getID() + "\n";
String zOrigin = stackSize > 1 || cal.zOrigin != 0.0 ? "," + d2s(cal.zOrigin) : "";
s += "Coordinate origin: " + d2s(cal.xOrigin) + "," + d2s(cal.yOrigin) + zOrigin + "\n";
int type = imp.getType();
switch (type) {
case ImagePlus.GRAY8:
s += "Bits per pixel: 8 ";
String lut = "LUT";
if (imp.getProcessor().isColorLut()) lut = "color " + lut;
else lut = "grayscale " + lut;
if (imp.isInvertedLut()) lut = "inverting " + lut;
s += "(" + lut + ")\n";
if (imp.getNChannels() > 1) s += displayRanges(imp);
else s += "Display range: " + (int) ip.getMin() + "-" + (int) ip.getMax() + "\n";
break;
case ImagePlus.GRAY16:
case ImagePlus.GRAY32:
if (type == ImagePlus.GRAY16) {
String sign = cal.isSigned16Bit() ? "signed" : "unsigned";
s += "Bits per pixel: 16 (" + sign + ")\n";
} else s += "Bits per pixel: 32 (float)\n";
if (imp.getNChannels() > 1) s += displayRanges(imp);
else {
s += "Display range: ";
double min = ip.getMin();
double max = ip.getMax();
if (cal.calibrated()) {
min = cal.getCValue((int) min);
max = cal.getCValue((int) max);
}
s += IJ.d2s(min, digits) + " - " + IJ.d2s(max, digits) + "\n";
}
break;
case ImagePlus.COLOR_256:
s += "Bits per pixel: 8 (color LUT)\n";
break;
case ImagePlus.COLOR_RGB:
s += "Bits per pixel: 32 (RGB)\n";
break;
}
double interval = cal.frameInterval;
double fps = cal.fps;
if (stackSize > 1) {
ImageStack stack = imp.getStack();
int slice = imp.getCurrentSlice();
String number = slice + "/" + stackSize;
String label = stack.getShortSliceLabel(slice);
if (label != null && label.length() > 0) label = " (" + label + ")";
else label = "";
if (interval > 0.0 || fps != 0.0) {
s += "Frame: " + number + label + "\n";
if (fps != 0.0) {
String sRate =
Math.abs(fps - Math.round(fps)) < 0.00001 ? IJ.d2s(fps, 0) : IJ.d2s(fps, 5);
s += "Frame rate: " + sRate + " fps\n";
}
if (interval != 0.0)
s +=
"Frame interval: "
+ ((int) interval == interval ? IJ.d2s(interval, 0) : IJ.d2s(interval, 5))
+ " "
+ cal.getTimeUnit()
+ "\n";
} else s += "Image: " + number + label + "\n";
if (imp.isHyperStack()) {
if (channels > 1) s += " Channel: " + imp.getChannel() + "/" + channels + "\n";
if (slices > 1) s += " Slice: " + imp.getSlice() + "/" + slices + "\n";
if (frames > 1) s += " Frame: " + imp.getFrame() + "/" + frames + "\n";
}
if (imp.isComposite()) {
if (!imp.isHyperStack() && channels > 1) s += " Channels: " + channels + "\n";
String mode = ((CompositeImage) imp).getModeAsString();
s += " Composite mode: \"" + mode + "\"\n";
}
}
if (ip.getMinThreshold() == ImageProcessor.NO_THRESHOLD) s += "No Threshold\n";
else {
double lower = ip.getMinThreshold();
double upper = ip.getMaxThreshold();
int dp = digits;
if (cal.calibrated()) {
lower = cal.getCValue((int) lower);
upper = cal.getCValue((int) upper);
dp = cal.isSigned16Bit() ? 0 : 4;
}
s += "Threshold: " + IJ.d2s(lower, dp) + "-" + IJ.d2s(upper, dp) + "\n";
}
ImageCanvas ic = imp.getCanvas();
double mag = ic != null ? ic.getMagnification() : 1.0;
if (mag != 1.0) s += "Magnification: " + IJ.d2s(mag, 2) + "\n";
if (cal.calibrated()) {
s += " \n";
int curveFit = cal.getFunction();
s += "Calibration Function: ";
if (curveFit == Calibration.UNCALIBRATED_OD) s += "Uncalibrated OD\n";
else if (curveFit == Calibration.CUSTOM) s += "Custom lookup table\n";
else s += CurveFitter.fList[curveFit] + "\n";
double[] c = cal.getCoefficients();
if (c != null) {
s += " a: " + IJ.d2s(c[0], 6) + "\n";
s += " b: " + IJ.d2s(c[1], 6) + "\n";
if (c.length >= 3) s += " c: " + IJ.d2s(c[2], 6) + "\n";
if (c.length >= 4) s += " c: " + IJ.d2s(c[3], 6) + "\n";
if (c.length >= 5) s += " c: " + IJ.d2s(c[4], 6) + "\n";
}
s += " Unit: \"" + cal.getValueUnit() + "\"\n";
} else s += "Uncalibrated\n";
FileInfo fi = imp.getOriginalFileInfo();
if (fi != null) {
if (fi.url != null && !fi.url.equals("")) s += "URL: " + fi.url + "\n";
else if (fi.directory != null && fi.fileName != null)
s += "Path: " + fi.directory + fi.fileName + "\n";
}
ImageWindow win = imp.getWindow();
if (win != null) {
Point loc = win.getLocation();
Dimension screen = IJ.getScreenSize();
s +=
"Screen location: "
+ loc.x
+ ","
+ loc.y
+ " ("
+ screen.width
+ "x"
+ screen.height
+ ")\n";
}
Overlay overlay = imp.getOverlay();
if (overlay != null) {
String hidden = imp.getHideOverlay() ? " (hidden)" : " ";
int n = overlay.size();
String elements = n == 1 ? " element" : " elements";
s += "Overlay: " + n + elements + (imp.getHideOverlay() ? " (hidden)" : "") + "\n";
} else s += "No Overlay\n";
Roi roi = imp.getRoi();
if (roi == null) {
if (cal.calibrated()) s += " \n";
s += "No Selection\n";
} else if (roi instanceof EllipseRoi) {
s += "\nElliptical Selection\n";
double[] p = ((EllipseRoi) roi).getParams();
double dx = p[2] - p[0];
double dy = p[3] - p[1];
double major = Math.sqrt(dx * dx + dy * dy);
s += " Major: " + IJ.d2s(major, 2) + "\n";
s += " Minor: " + IJ.d2s(major * p[4], 2) + "\n";
s += " X1: " + IJ.d2s(p[0], 2) + "\n";
s += " Y1: " + IJ.d2s(p[1], 2) + "\n";
s += " X2: " + IJ.d2s(p[2], 2) + "\n";
s += " Y2: " + IJ.d2s(p[3], 2) + "\n";
s += " Aspect ratio: " + IJ.d2s(p[4], 2) + "\n";
} else {
s += " \n";
s += roi.getTypeAsString() + " Selection";
String points = null;
if (roi instanceof PointRoi) {
int npoints = ((PolygonRoi) roi).getNCoordinates();
String suffix = npoints > 1 ? "s)" : ")";
points = " (" + npoints + " point" + suffix;
}
String name = roi.getName();
if (name != null) {
s += " (\"" + name + "\")";
if (points != null) s += "\n " + points;
} else if (points != null) s += points;
s += "\n";
Rectangle r = roi.getBounds();
if (roi instanceof Line) {
Line line = (Line) roi;
s += " X1: " + IJ.d2s(line.x1d * cal.pixelWidth) + "\n";
s += " Y1: " + IJ.d2s(yy(line.y1d, imp) * cal.pixelHeight) + "\n";
s += " X2: " + IJ.d2s(line.x2d * cal.pixelWidth) + "\n";
s += " Y2: " + IJ.d2s(yy(line.y2d, imp) * cal.pixelHeight) + "\n";
} else if (cal.scaled()) {
s += " X: " + IJ.d2s(cal.getX(r.x)) + " (" + r.x + ")\n";
s += " Y: " + IJ.d2s(cal.getY(r.y, imp.getHeight())) + " (" + r.y + ")\n";
s += " Width: " + IJ.d2s(r.width * cal.pixelWidth) + " (" + r.width + ")\n";
s += " Height: " + IJ.d2s(r.height * cal.pixelHeight) + " (" + r.height + ")\n";
} else {
s += " X: " + r.x + "\n";
s += " Y: " + yy(r.y, imp) + "\n";
s += " Width: " + r.width + "\n";
s += " Height: " + r.height + "\n";
}
}
return s;
}
private void geterrors() {
GenericDialog gd = new GenericDialog("Options");
float conf = 0.67f;
gd.addNumericField("Confidence Limit", (int) (conf * 100.0f), 5, 10, null);
gd.addChoice("Error Parameter", paramsnames, paramsnames[0]);
double spacing = 0.01;
gd.addNumericField("Chi^2 plot spacing (% of value)?", spacing * 100.0, 2, 10, null);
boolean globalerror = false;
gd.addCheckbox("Global Fit Error?", globalerror);
int dataset = 0;
gd.addNumericField("Data Set (for Global Error)", dataset, 0);
gd.showDialog();
if (gd.wasCanceled()) {
return;
}
conf = 0.01f * (float) gd.getNextNumber();
int paramindex = (int) gd.getNextChoiceIndex();
spacing = 0.01 * gd.getNextNumber();
globalerror = gd.getNextBoolean();
dataset = (int) gd.getNextNumber();
if (globalerror) {
support_plane_errors erclass = new support_plane_errors(this, 0.0001, 50, true, 0.1);
int[] erindeces = {paramindex, dataset};
// need to set up all the matrices
int nsel = 0;
int nparams = 11;
for (int i = 0; i < ncurves; i++) {
if (include[i]) {
nsel++;
}
}
double[][] params = new double[nsel][nparams];
String[][] tempformulas = new String[nsel][nparams];
double[][][] constraints = new double[2][nsel][nparams];
int[][] vflmatrix = new int[nsel][nparams];
float[][] tempdata = new float[nsel][xpts * ypts];
float[][] tempweights = new float[nsel][xpts * ypts];
int nfit = 0;
int counter = 0;
for (int i = 0; i < ncurves; i++) {
if (include[i]) {
for (int j = 0; j < nparams; j++) {
params[counter][j] = globalparams[i][j];
tempformulas[counter][j] = globalformulas[i][j];
constraints[0][counter][j] = globalconstraints[0][i][j];
constraints[1][counter][j] = globalconstraints[1][i][j];
vflmatrix[counter][j] = globalvflmatrix[i][j];
if (vflmatrix[counter][j] == 0 || (j == 0 && vflmatrix[counter][j] == 2)) {
nfit++;
}
}
for (int j = 0; j < xpts; j++) {
for (int k = 0; k < ypts; k++) {
tempdata[counter][j + k * xpts] = (float) ((double) pch[i][j][k] / (double) nmeas[i]);
tempweights[counter][j + k * xpts] = weights[i][j][k];
}
}
counter++;
}
}
int dofnum = xpts * ypts * nsel - (nfit - 1) - 1;
int dofden = xpts * ypts * nsel - nfit - 1;
// double flim=FLimit(dofnum,dofden,(double)conf);
double flim = (new jdist()).FLimit(dofnum, dofden, (double) conf);
IJ.log("FLimit = " + (float) flim);
if (flim == Double.NaN && flim < 1.0) {
IJ.showMessage("Invalid Limiting F Value");
return;
}
double truespacing = Math.abs(params[erindeces[1]][erindeces[0]] * spacing);
double[][] c2plot =
erclass.geterrorsglobal(
params,
vflmatrix,
tempformulas,
paramsnames,
constraints,
tempdata,
tempweights,
flim,
truespacing,
erindeces);
IJ.log("upper limit = " + c2plot[1][0] + " lower limit = " + c2plot[0][0]);
int templength = c2plot[0].length;
float[][] c2plotf = new float[2][templength - 1];
for (int i = 0; i < (templength - 1); i++) {
c2plotf[0][i] = (float) c2plot[0][i + 1];
c2plotf[1][i] = (float) c2plot[1][i + 1];
}
new PlotWindow4(
"c2 plot",
paramsnames[paramindex] + "[" + dataset + "]",
"Chi^2",
c2plotf[0],
c2plotf[1])
.draw();
} else {
support_plane_errors erclass = new support_plane_errors(this, 0.0001, 50, false, 0.1);
int errindex = paramindex;
float[] tempdata = new float[xpts * ypts];
float[] tempweights = new float[xpts * ypts];
for (int i = 0; i < xpts; i++) {
for (int j = 0; j < ypts; j++) {
tempdata[i + j * xpts] = (float) ((double) avg[i][j] / (double) nmeas[ncurves]);
tempweights[i + j * xpts] = avgweights[i][j];
}
}
int nfit = 0;
for (int i = 0; i < 7; i++) {
if (avgfixes[i] == 0) {
nfit++;
}
}
int dofnum = xpts * ypts - (nfit - 1) - 1;
int dofden = xpts * ypts - nfit - 1;
double flim = (new jdist()).FLimit(dofnum, dofden, (double) conf);
IJ.log("FLimit = " + (float) flim);
if (flim == Double.NaN && flim < 1.0) {
IJ.showMessage("Invalid Limiting F Value");
return;
}
double truespacing = Math.abs(avgparams[errindex] * spacing);
double[][] c2plot =
erclass.geterrors(
avgparams,
avgfixes,
avgconstraints,
tempdata,
tempweights,
flim,
truespacing,
errindex);
IJ.log("upper limit = " + c2plot[1][0] + " lower limit = " + c2plot[0][0]);
int templength = c2plot[0].length;
float[][] c2plotf = new float[2][templength - 1];
for (int i = 0; i < (templength - 1); i++) {
c2plotf[0][i] = (float) c2plot[0][i + 1];
c2plotf[1][i] = (float) c2plot[1][i + 1];
}
new PlotWindow4("c2 plot", paramsnames[errindex], "Chi^2", c2plotf[0], c2plotf[1]).draw();
}
}
private boolean track(
ImagePlus siPlus, ArrayList<Point2D.Double> xyPoints, ArrayList<Double> timePoints) {
GaussianFit gs = new GaussianFit(shape_, fitMode_);
double cPCF = photonConversionFactor_ / gain_;
// for now, take the active ImageJ image
// (this should be an image of a difraction limited spot)
Roi originalRoi = siPlus.getRoi();
if (null == originalRoi) {
if (!silent_) IJ.error("Please draw a Roi around the spot you want to track");
return false;
}
Polygon pol = FindLocalMaxima.FindMax(siPlus, halfSize_, noiseTolerance_, preFilterType_);
if (pol.npoints == 0) {
if (!silent_) ReportingUtils.showError("No local maxima found in ROI");
else ReportingUtils.logError("No local maxima found in ROI");
return false;
}
int xc = pol.xpoints[0];
int yc = pol.ypoints[0];
// not sure if needed, but look for the maximum local maximum
int max = siPlus.getProcessor().getPixel(pol.xpoints[0], pol.ypoints[0]);
if (pol.npoints > 1) {
for (int i = 1; i < pol.npoints; i++) {
if (siPlus.getProcessor().getPixel(pol.xpoints[i], pol.ypoints[i]) > max) {
max = siPlus.getProcessor().getPixel(pol.xpoints[i], pol.ypoints[i]);
xc = pol.xpoints[i];
yc = pol.ypoints[i];
}
}
}
long startTime = System.nanoTime();
// This is confusing. We like to accomodate stacks with multiple slices
// and stacks with multiple frames (which is actually the correct way
int ch = siPlus.getChannel();
Boolean useSlices = siPlus.getNSlices() > siPlus.getNFrames();
int n = siPlus.getSlice();
int nMax = siPlus.getNSlices();
if (!useSlices) {
n = siPlus.getFrame();
nMax = siPlus.getNFrames();
}
boolean stop = false;
int missedFrames = 0;
int size = 2 * halfSize_;
for (int i = n; i <= nMax && !stop; i++) {
SpotData spot;
// Give user feedback
ij.IJ.showStatus("Tracking...");
ij.IJ.showProgress(i, nMax);
// Search in next slice in same Roi for local maximum
Roi searchRoi = new Roi(xc - size, yc - size, 2 * size + 1, 2 * size + 1);
if (useSlices) {
siPlus.setSliceWithoutUpdate(siPlus.getStackIndex(ch, i, 1));
} else {
siPlus.setSliceWithoutUpdate(siPlus.getStackIndex(ch, 1, i));
}
siPlus.setRoi(searchRoi, false);
// Find maximum in Roi, might not be needed....
pol = FindLocalMaxima.FindMax(siPlus, 2 * halfSize_, noiseTolerance_, preFilterType_);
// do not stray more than 2 pixels in x or y.
// This velocity maximum parameter should be tunable by the user
if (pol.npoints >= 1) {
if (Math.abs(xc - pol.xpoints[0]) < 2 && Math.abs(yc - pol.ypoints[0]) < 2) {
xc = pol.xpoints[0];
yc = pol.ypoints[0];
}
}
// Reset ROI to the original
if (i == n) {
firstX_ = xc;
firstY_ = yc;
}
// Set Roi for fitting centered around maximum
Roi spotRoi = new Roi(xc - halfSize_, yc - halfSize_, 2 * halfSize_, 2 * halfSize_);
siPlus.setRoi(spotRoi, false);
ImageProcessor ip;
try {
if (siPlus.getRoi() != spotRoi) {
ReportingUtils.logError(
"There seems to be a thread synchronization issue going on that causes this weirdness");
}
ip = siPlus.getProcessor().crop();
} catch (ArrayIndexOutOfBoundsException aex) {
ReportingUtils.logError(aex, "ImageJ failed to crop the image, not sure why");
siPlus.setRoi(spotRoi, true);
ip = siPlus.getProcessor().crop();
}
spot = new SpotData(ip, ch, 1, i, 1, i, xc, yc);
double[] paramsOut = gs.dogaussianfit(ip, maxIterations_);
double sx;
double sy;
double a = 1.0;
double theta = 0.0;
if (paramsOut.length >= 4) {
// anormalize the intensity from the Gaussian fit
double N =
cPCF
* paramsOut[GaussianFit.INT]
* (2 * Math.PI * paramsOut[GaussianFit.S] * paramsOut[GaussianFit.S]);
double xpc = paramsOut[GaussianFit.XC];
double ypc = paramsOut[GaussianFit.YC];
double x = (xpc - halfSize_ + xc) * pixelSize_;
double y = (ypc - halfSize_ + yc) * pixelSize_;
double s = paramsOut[GaussianFit.S] * pixelSize_;
// express background in photons after base level correction
double bgr = cPCF * (paramsOut[GaussianFit.BGR] - baseLevel_);
// calculate error using formular from Thompson et al (2002)
// (dx)2 = (s*s + (a*a/12)) / N + (8*pi*s*s*s*s * b*b) / (a*a*N*N)
double sigma =
(s * s + (pixelSize_ * pixelSize_) / 12) / N
+ (8 * Math.PI * s * s * s * s * bgr * bgr) / (pixelSize_ * pixelSize_ * N * N);
sigma = Math.sqrt(sigma);
double width = 2 * s;
if (paramsOut.length >= 6) {
sx = paramsOut[GaussianFit.S1] * pixelSize_;
sy = paramsOut[GaussianFit.S2] * pixelSize_;
a = sx / sy;
}
if (paramsOut.length >= 7) {
theta = paramsOut[GaussianFit.S3];
}
if ((!useWidthFilter_ || (width > widthMin_ && width < widthMax_))
&& (!useNrPhotonsFilter_ || (N > nrPhotonsMin_ && N < nrPhotonsMax_))) {
// If we have a good fit, update position of the box
if (xpc > 0 && xpc < (2 * halfSize_) && ypc > 0 && ypc < (2 * halfSize_)) {
xc += (int) xpc - halfSize_;
yc += (int) ypc - halfSize_;
}
spot.setData(N, bgr, x, y, 0.0, 2 * s, a, theta, sigma);
xyPoints.add(new Point2D.Double(x, y));
timePoints.add(i * timeIntervalMs_);
resultList_.add(spot);
missedFrames = 0;
} else {
missedFrames += 1;
}
} else {
missedFrames += 1;
}
if (endTrackAfterBadFrames_) {
if (missedFrames >= this.endTrackAfterNBadFrames_) {
stop = true;
}
}
}
long endTime = System.nanoTime();
double took = (endTime - startTime) / 1E6;
print("Calculation took: " + took + " milli seconds");
ij.IJ.showStatus("");
siPlus.setSlice(n);
siPlus.setRoi(originalRoi);
return true;
}
public boolean get_errors(double[] params, int[] fixes) {
GenericDialog gd = new GenericDialog("Error Options");
String[] methods = {"Support Plane", "Monte Carlo"};
gd.addChoice("Method", methods, methods[0]);
float conf = 0.67f;
gd.addNumericField("SP_Confidence Limit (%)", (int) (conf * 100.0f), 5, 10, null);
String[] labels = {"P1", "P2", "P3", "P4", "P5", "P6", "P7", "P8", "P9", "P10"};
gd.addChoice("SP_Parameter", labels, labels[0]);
double spacing = 0.01;
gd.addNumericField("SP_Chi^2_plot_spacing (% of value)?", spacing * 100.0, 2, 10, null);
int ntrials = 100;
gd.addNumericField("MC_#_Trials", ntrials, 0);
gd.showDialog();
if (gd.wasCanceled()) {
return false;
}
int methodindex = gd.getNextChoiceIndex();
conf = 0.01f * (float) gd.getNextNumber();
int paramindex = gd.getNextChoiceIndex();
spacing = 0.01 * gd.getNextNumber();
ntrials = (int) gd.getNextNumber();
if (methodindex == 0) {
support_plane_errors_v2 erclass = new support_plane_errors_v2(this, 0.0001, 50, false, 0.1);
int errindex = paramindex;
int nfit = 0;
for (int i = 0; i < labels.length; i++) {
if (fixes[i] == 0) {
nfit++;
}
}
int npts = tempdata.length;
int dofnum = npts - (nfit - 1) - 1;
int dofden = npts - nfit - 1;
double flim = (new jdist()).FLimit(dofnum, dofden, (double) conf);
IJ.log("FLimit = " + (float) flim);
if (flim == Double.NaN && flim < 1.0) {
IJ.showMessage("Invalid Limiting F Value");
return false;
}
double truespacing = Math.abs(params[errindex] * spacing);
double[][] c2plot =
erclass.geterrors(
params, fixes, constraints, tempdata, weights, flim, truespacing, errindex);
IJ.log("upper limit = " + c2plot[1][0] + " lower limit = " + c2plot[0][0]);
IJ.log(
"upper error = "
+ (c2plot[1][0] - params[errindex])
+ " lower error = "
+ (params[errindex] - c2plot[0][0]));
int templength = c2plot[0].length;
float[][] c2plotf = new float[2][templength - 1];
for (int i = 0; i < (templength - 1); i++) {
c2plotf[0][i] = (float) c2plot[0][i + 1];
c2plotf[1][i] = (float) c2plot[1][i + 1];
}
new PlotWindow4("c2 plot", labels[errindex], "Chi^2", c2plotf[0], c2plotf[1]).draw();
} else {
StringBuffer sb = new StringBuffer();
sb.append("Trial\t");
for (int i = 0; i < labels.length; i++) {
if (fixes[i] == 0) sb.append(labels[i] + "\t");
}
sb.append("chi^2");
tw = new TextWindow("Monte Carlo Results", sb.toString(), "", 400, 400);
redirect = true;
monte_carlo_errors_v2 erclass = new monte_carlo_errors_v2(this, 0.0001, 50, false, 0.1);
double[][] errors = erclass.geterrors(params, fixes, constraints, tempdata, weights, ntrials);
sb = new StringBuffer();
sb.append("StDev\t");
for (int i = 0; i < errors.length; i++) {
float[] ferr = new float[errors[0].length];
for (int j = 0; j < ferr.length; j++) ferr[j] = (float) errors[i][j];
float stdev = jstatistics.getstatistic("StDev", ferr, null);
sb.append("" + stdev);
if (i < (errors.length - 1)) sb.append("\t");
}
tw.append(sb.toString());
redirect = false;
}
return true;
}
public void Calc_5Fr(ImagePlus imp1, ImagePlus imp2) {
if (imp1.getType() != imp2.getType()) {
error();
return;
}
if (imp1.getType() == 0) { // getType returns 0 for 8-bit, 1 for 16-bit
bitDepth = "8-bit";
Prefs.set("ps.bitDepth", bitDepth);
} else {
bitDepth = "16-bit";
Prefs.set("ps.bitDepth", bitDepth);
}
int width = imp1.getWidth();
int height = imp1.getHeight();
if (width != imp2.getWidth() || height != imp2.getHeight()) {
error();
return;
}
ImageStack stack1 = imp1.getStack();
// if (bgStackTitle != "NoBg") ImageStack stack2 = imp2.getStack();
ImageStack stack2 = imp2.getStack();
ImageProcessor ip = imp1.getProcessor();
int dimension = width * height;
byte[] pixB;
short[] pixS;
float[][] pixF = new float[5][dimension];
float[][] pixFBg = new float[5][dimension];
float a;
float b;
float den;
float aSmp;
float bSmp;
float denSmp;
float aBg;
float bBg;
float denBg;
float retF;
float azimF;
byte[] retB = new byte[dimension];
short[] retS = new short[dimension];
byte[] azimB = new byte[dimension];
short[] azimS = new short[dimension];
// Derived Variables:
float swingAngle = 2f * (float) Math.PI * swing;
float tanSwingAngleDiv2 = (float) Math.tan(swingAngle / 2.f);
float tanSwingAngleDiv2DivSqrt2 = (float) (Math.tan(swingAngle / 2.f) / Math.sqrt(2));
float wavelengthDiv2Pi = wavelength / (2f * (float) Math.PI);
// get the pixels of each slice in the stack and convert to float
for (int i = 0; i < 5; i++) {
if (bitDepth == "8-bit") {
pixB = (byte[]) stack1.getPixels(i + 3);
for (int j = 0; j < dimension; j++) pixF[i][j] = 0xff & pixB[j];
if (bgStackTitle != "NoBg") {
pixB = (byte[]) stack2.getPixels(i + 3);
for (int j = 0; j < dimension; j++) pixFBg[i][j] = 0xff & pixB[j];
}
} else {
pixS = (short[]) stack1.getPixels(i + 3);
for (int j = 0; j < dimension; j++) pixF[i][j] = (float) pixS[j];
if (bgStackTitle != "NoBg") {
pixS = (short[]) stack2.getPixels(i + 3);
for (int j = 0; j < dimension; j++) pixFBg[i][j] = (float) pixS[j];
}
}
}
// Algorithm
// terms a and b
for (int j = 0; j < dimension; j++) {
denSmp = (pixF[1][j] + pixF[2][j] + pixF[3][j] + pixF[4][j] - 4 * pixF[0][j]) / 2;
denBg = denSmp;
a = (pixF[4][j] - pixF[1][j]);
aSmp = a;
aBg = a;
b = (pixF[2][j] - pixF[3][j]);
bSmp = b;
bBg = b;
if (bgStackTitle != "NoBg") {
denBg = (pixFBg[1][j] + pixFBg[2][j] + pixFBg[3][j] + pixFBg[4][j] - 4 * pixFBg[0][j]) / 2;
aBg = pixFBg[4][j] - pixFBg[1][j];
bBg = pixFBg[2][j] - pixFBg[3][j];
}
// Special case of sample retardance half wave, denSmp = 0
if (denSmp == 0) {
retF = (float) wavelength / 4;
azimF =
(float) (a == 0 & b == 0 ? 0 : (azimRef + 90 + 90 * Math.atan2(a, b) / Math.PI) % 180);
} else {
// Retardance, the background correction can be improved by separately considering sample
// retardance values larger than a quarter wave
if (bgStackTitle != "NoBg") {
a = aSmp / denSmp - aBg / denBg;
b = bSmp / denSmp - bBg / denBg;
} else {
a = aSmp / denSmp;
b = bSmp / denSmp;
}
retF = (float) Math.atan(tanSwingAngleDiv2 * Math.sqrt(a * a + b * b));
if (denSmp < 0) retF = (float) Math.PI - retF;
retF = retF * wavelengthDiv2Pi; // convert to nm
if (retF > retCeiling) retF = retCeiling;
// Orientation
if ((bgStackTitle == "NoBg") || ((bgStackTitle != "NoBg") && (Math.abs(denSmp) < 1))) {
a = aSmp;
b = bSmp;
}
azimF =
(float) (a == 0 & b == 0 ? 0 : (azimRef + 90 + 90 * Math.atan2(a, b) / Math.PI) % 180);
}
if (bitDepth == "8-bit") retB[j] = (byte) (((int) (255 * retF / retCeiling)) & 0xff);
else retS[j] = (short) (4095 * retF / retCeiling);
if (mirror == "Yes") azimF = 180 - azimF;
if (bitDepth == "8-bit") azimB[j] = (byte) (((int) azimF) & 0xff);
else azimS[j] = (short) (azimF * 10f);
}
// show the resulting images in slice 1 and 2
imp1.setSlice(3);
if (bitDepth == "8-bit") {
stack1.setPixels(retB, 1);
stack1.setPixels(azimB, 2);
} else {
stack1.setPixels(retS, 1);
stack1.setPixels(azimS, 2);
}
imp1.setSlice(1);
IJ.selectWindow(imp1.getTitle());
Prefs.set("ps.sampleStackTitle", sampleStackTitle);
Prefs.set("ps.bgStackTitle", bgStackTitle);
Prefs.set("ps.mirror", mirror);
Prefs.set("ps.wavelength", wavelength);
Prefs.set("ps.swing", swing);
Prefs.set("ps.retCeiling", retCeiling);
Prefs.set("ps.azimRef", azimRef);
Prefs.savePreferences();
}