Examples with BasePoint uk.ac.sussex.gdsc.core.match.BasePoint used on opensource projects

Example 1 with BasePoint

use of uk.ac.sussex.gdsc.core.match.BasePoint in project GDSC-SMLM by aherbert.

the class PsfCreator method combine.

private ExtractedPsf combine(ExtractedPsf[] psfs) {
    final ExtractedPsf first = psfs[0];
    // PSFs can have different stack sizes. XY size is the same.
    // Find the biggest insert before and after the centre to find
    // the combined stack size.
    int before = first.stackZCentre;
    int after = first.psf.length - first.stackZCentre;
    for (int i = 1; i < psfs.length; i++) {
        before = Math.max(before, psfs[i].stackZCentre);
        after = Math.max(after, psfs[i].psf.length - psfs[i].stackZCentre);
    }
    final int totalDepth = before + after;
    final float[][] psf = new float[totalDepth][first.psf[0].length];
    final int size = first.maxx;
    final int[] count = new int[totalDepth];
    for (int i = 0; i < psfs.length; i++) {
        final int offset = before - psfs[i].stackZCentre;
        for (int j = 0; j < psfs[i].psf.length; j++) {
            final float[] from = psfs[i].psf[j];
            final float[] to = psf[j + offset];
            count[j + offset]++;
            for (int k = 0; k < to.length; k++) {
                to[k] += from[k];
            }
        }
    }
    // Q. Should the normalisation be done?
    for (int j = 0; j < psf.length; j++) {
        final float[] to = psf[j];
        final int c = count[j];
        if (c != 0) {
            for (int k = 0; k < to.length; k++) {
                to[k] /= c;
            }
        }
    }
    final BasePoint centre = new BasePoint(size / 2f, size / 2f, before);
    final ExtractedPsf combined = new ExtractedPsf(psf, size, centre, first.magnification);
    combined.stackZCentre = before;
    return combined;
}

Example 2 with BasePoint

use of uk.ac.sussex.gdsc.core.match.BasePoint in project GDSC-SMLM by aherbert.

the class PsfCreator method findSpotOverlap.

/**
 * Find all the ROI points that have a box region overlapping with any other spot.
 *
 * @param roiPoints the roi points
 * @param excluded the excluded
 * @return the overlap array
 */
private boolean[] findSpotOverlap(BasePoint[] roiPoints, boolean[] excluded) {
    final int n = roiPoints.length;
    final boolean[] bad = new boolean[n];
    if (n == 1) {
        return bad;
    }
    // Check overlap of box regions
    final int w = imp.getWidth();
    final int h = imp.getHeight();
    final ImageExtractor ie = ImageExtractor.wrap(null, w, h);
    final Rectangle[] regions = new Rectangle[n];
    // Check size if not fitting
    final int size = (settings.getMode() != MODE_FITTING) ? 2 * boxRadius + 1 : Integer.MAX_VALUE;
    for (int i = 0; i < n; i++) {
        if (excluded != null && excluded[i]) {
            continue;
        }
        final Rectangle r = ie.getBoxRegionBounds(roiPoints[i].getXint(), roiPoints[i].getYint(), boxRadius);
        regions[i] = r;
        if (r.width < size || r.height < size) {
            ImageJUtils.log("Warning: Spot %d region extends beyond the image, border pixels will be duplicated", i + 1);
        }
    }
    // Add support for 3D overlap analysis. Only do this if a zRadius has been specified.
    final boolean is3D = (settings.getMode() == MODE_ALIGNMENT && zRadius > 0);
    for (int i = 0; i < n; i++) {
        if (excluded != null && excluded[i]) {
            continue;
        }
        if (bad[i]) {
            continue;
        }
        // Check intersect with others
        for (int j = i; ++j < n; ) {
            if (excluded != null && excluded[j]) {
                continue;
            }
            boolean overlap = regions[i].intersects(regions[j]);
            if (overlap && is3D) {
                // Reset (assume non-overlapping)
                overlap = false;
                // Check for 3D overlap:
                // iiiiiiiiiiiiiiiii
                // jjjjjjjjjjjjjjjjjjj
                final int mini = roiPoints[i].getZint() - zRadius;
                final int maxi = roiPoints[i].getZint() + zRadius;
                final int minj = roiPoints[j].getZint() - zRadius;
                final int maxj = roiPoints[j].getZint() + zRadius;
                if (mini <= minj) {
                    overlap = (maxi >= minj);
                } else {
                    overlap = (maxj >= mini);
                }
            }
            if (overlap) {
                ImageJUtils.log("Warning: Spot %d region overlaps with spot %d, ignoring both", i + 1, j + 1);
                bad[i] = bad[j] = true;
                break;
            }
        }
    }
    return bad;
}

Example 3 with BasePoint

use of uk.ac.sussex.gdsc.core.match.BasePoint in project GDSC-SMLM by aherbert.

the class PsfCreator method drawBoundingBox.

private void drawBoundingBox() {
    if (plotLock1.acquire()) {
        // Get the spots here as the user may want to interactively pick new ones
        final BasePoint[] points = getSpots();
        final Rectangle[] bounds = new Rectangle[points.length];
        final Roi[] rois = new Roi[points.length];
        // Run in a new thread to allow the GUI to continue updating
        new Thread(() -> {
            try {
                // Continue while the parameter is changing
                while (plotRadius != settings.getRadius()) {
                    // Store the parameters to be processed
                    plotRadius = settings.getRadius();
                    final int boxRadius = (int) Math.ceil(plotRadius);
                    final int w = 2 * boxRadius + 1;
                    for (int i = 0; i < points.length; i++) {
                        final BasePoint p = points[i];
                        final int cx = p.getXint();
                        final int cy = p.getYint();
                        final Roi r = new Roi(cx - plotRadius, cy - plotRadius, w, w);
                        bounds[i] = r.getBounds();
                        rois[i] = r;
                        // Check for overlap
                        for (int j = i; j-- > 0; ) {
                            if (bounds[i].intersects(bounds[j])) {
                                rois[j].setStrokeColor(Color.RED);
                                r.setStrokeColor(Color.RED);
                            }
                        }
                    }
                    final Overlay o = new Overlay();
                    for (final Roi roi : rois) {
                        o.add(roi);
                    }
                    imp.setOverlay(o);
                }
            } finally {
                // Ensure the running flag is reset
                plotLock1.release();
            }
        }).start();
    }
}

Example 4 with BasePoint

use of uk.ac.sussex.gdsc.core.match.BasePoint in project GDSC-SMLM by aherbert.

the class SpotFinderPreview method run.

private void run(ImageProcessor ip, MaximaSpotFilter filter) {
    if (refreshing) {
        return;
    }
    currentSlice = imp.getCurrentSlice();
    final Rectangle bounds = ip.getRoi();
    // Crop to the ROI
    FloatProcessor fp = ip.crop().toFloat(0, null);
    float[] data = (float[]) fp.getPixels();
    final int width = fp.getWidth();
    final int height = fp.getHeight();
    // Store the mean bias and gain of the region data.
    // This is used to correctly overlay the filtered data on the original image.
    double bias = 0;
    double gain = 1;
    boolean adjust = false;
    // Set weights
    final CameraModel cameraModel = fitConfig.getCameraModel();
    if (!(cameraModel instanceof FakePerPixelCameraModel)) {
        // This should be done on the normalised data
        final float[] w = cameraModel.getNormalisedWeights(bounds);
        filter.setWeights(w, width, height);
        data = data.clone();
        if (data.length < ip.getPixelCount()) {
            adjust = true;
            bias = MathUtils.sum(cameraModel.getBias(bounds)) / data.length;
            gain = MathUtils.sum(cameraModel.getGain(bounds)) / data.length;
        }
        cameraModel.removeBiasAndGain(bounds, data);
    }
    final Spot[] spots = filter.rank(data, width, height);
    data = filter.getPreprocessedData();
    final int size = spots.length;
    if (topNScrollBar != null) {
        topNScrollBar.setMaximum(size);
        selectScrollBar.setMaximum(size);
    }
    fp = new FloatProcessor(width, height, data);
    final FloatProcessor out = new FloatProcessor(ip.getWidth(), ip.getHeight());
    out.copyBits(ip, 0, 0, Blitter.COPY);
    if (adjust) {
        fp.multiply(gain);
        fp.add(bias);
    }
    out.insert(fp, bounds.x, bounds.y);
    final double min = fp.getMin();
    final double max = fp.getMax();
    out.setMinAndMax(min, max);
    final Overlay o = new Overlay();
    o.add(new ImageRoi(0, 0, out));
    if (label != null) {
        // Get results for frame
        final Coordinate[] actual = ResultsMatchCalculator.getCoordinates(actualCoordinates, imp.getCurrentSlice());
        final Coordinate[] predicted = new Coordinate[size];
        for (int i = 0; i < size; i++) {
            predicted[i] = new BasePoint(spots[i].x + bounds.x, spots[i].y + bounds.y);
        }
        // Compute assignments
        final LocalList<FractionalAssignment> fractionalAssignments = new LocalList<>(3 * predicted.length);
        final double matchDistance = settings.distance * fitConfig.getInitialPeakStdDev();
        final RampedScore score = RampedScore.of(matchDistance, matchDistance * settings.lowerDistance / 100, false);
        final double dmin = matchDistance * matchDistance;
        final int nActual = actual.length;
        final int nPredicted = predicted.length;
        for (int j = 0; j < nPredicted; j++) {
            // Centre in the middle of the pixel
            final float x = predicted[j].getX() + 0.5f;
            final float y = predicted[j].getY() + 0.5f;
            // Any spots that match
            for (int i = 0; i < nActual; i++) {
                final double dx = (x - actual[i].getX());
                final double dy = (y - actual[i].getY());
                final double d2 = dx * dx + dy * dy;
                if (d2 <= dmin) {
                    final double d = Math.sqrt(d2);
                    final double s = score.score(d);
                    if (s == 0) {
                        continue;
                    }
                    double distance = 1 - s;
                    if (distance == 0) {
                        // In the case of a match below the distance thresholds
                        // the distance will be 0. To distinguish between candidates all below
                        // the thresholds just take the closest.
                        // We know d2 is below dmin so we subtract the delta.
                        distance -= (dmin - d2);
                    }
                    // Store the match
                    fractionalAssignments.add(new ImmutableFractionalAssignment(i, j, distance, s));
                }
            }
        }
        final FractionalAssignment[] assignments = fractionalAssignments.toArray(new FractionalAssignment[0]);
        // Compute matches
        final RankedScoreCalculator calc = RankedScoreCalculator.create(assignments, nActual - 1, nPredicted - 1);
        final boolean save = settings.showTP || settings.showFP;
        final double[] calcScore = calc.score(nPredicted, settings.multipleMatches, save);
        final ClassificationResult result = RankedScoreCalculator.toClassificationResult(calcScore, nActual);
        // Compute AUC and max jaccard (and plot)
        final double[][] curve = RankedScoreCalculator.getPrecisionRecallCurve(assignments, nActual, nPredicted);
        final double[] precision = curve[0];
        final double[] recall = curve[1];
        final double[] jaccard = curve[2];
        final double auc = AucCalculator.auc(precision, recall);
        // Show scores
        final String scoreLabel = String.format("Slice=%d, AUC=%s, R=%s, Max J=%s", imp.getCurrentSlice(), MathUtils.rounded(auc), MathUtils.rounded(result.getRecall()), MathUtils.rounded(MathUtils.maxDefault(0, jaccard)));
        setLabel(scoreLabel);
        // Plot
        String title = TITLE + " Performance";
        Plot plot = new Plot(title, "Spot Rank", "");
        final double[] rank = SimpleArrayUtils.newArray(precision.length, 0, 1.0);
        plot.setLimits(0, nPredicted, 0, 1.05);
        plot.setColor(Color.blue);
        plot.addPoints(rank, precision, Plot.LINE);
        plot.setColor(Color.red);
        plot.addPoints(rank, recall, Plot.LINE);
        plot.setColor(Color.black);
        plot.addPoints(rank, jaccard, Plot.LINE);
        plot.setColor(Color.black);
        plot.addLabel(0, 0, scoreLabel);
        final WindowOrganiser windowOrganiser = new WindowOrganiser();
        ImageJUtils.display(title, plot, 0, windowOrganiser);
        title = TITLE + " Precision-Recall";
        plot = new Plot(title, "Recall", "Precision");
        plot.setLimits(0, 1, 0, 1.05);
        plot.setColor(Color.red);
        plot.addPoints(recall, precision, Plot.LINE);
        plot.drawLine(recall[recall.length - 1], precision[recall.length - 1], recall[recall.length - 1], 0);
        plot.setColor(Color.black);
        plot.addLabel(0, 0, scoreLabel);
        ImageJUtils.display(title, plot, 0, windowOrganiser);
        windowOrganiser.tile();
        // Create Rois for TP and FP
        if (save) {
            final double[] matchScore = RankedScoreCalculator.getMatchScore(calc.getScoredAssignments(), nPredicted);
            int matches = 0;
            for (int i = 0; i < matchScore.length; i++) {
                if (matchScore[i] != 0) {
                    matches++;
                }
            }
            if (settings.showTP) {
                final float[] x = new float[matches];
                final float[] y = new float[x.length];
                int count = 0;
                for (int i = 0; i < matchScore.length; i++) {
                    if (matchScore[i] != 0) {
                        final BasePoint p = (BasePoint) predicted[i];
                        x[count] = p.getX() + 0.5f;
                        y[count] = p.getY() + 0.5f;
                        count++;
                    }
                }
                addRoi(0, o, x, y, count, Color.green);
            }
            if (settings.showFP) {
                final float[] x = new float[nPredicted - matches];
                final float[] y = new float[x.length];
                int count = 0;
                for (int i = 0; i < matchScore.length; i++) {
                    if (matchScore[i] == 0) {
                        final BasePoint p = (BasePoint) predicted[i];
                        x[count] = p.getX() + 0.5f;
                        y[count] = p.getY() + 0.5f;
                        count++;
                    }
                }
                addRoi(0, o, x, y, count, Color.red);
            }
        }
    } else {
        final WindowOrganiser wo = new WindowOrganiser();
        // Option to show the number of neighbours within a set pixel box radius
        final int[] count = spotFilterHelper.countNeighbours(spots, width, height, settings.neighbourRadius);
        // Show as histogram the totals...
        new HistogramPlotBuilder(TITLE, StoredData.create(count), "Neighbours").setIntegerBins(true).setPlotLabel("Radius = " + settings.neighbourRadius).show(wo);
        // TODO - Draw n=0, n=1 on the image overlay
        final LUT lut = LutHelper.createLut(LutColour.FIRE_LIGHT);
        // These are copied by the ROI
        final float[] x = new float[1];
        final float[] y = new float[1];
        // Plot the intensity
        final double[] intensity = new double[size];
        final double[] rank = SimpleArrayUtils.newArray(size, 1, 1.0);
        final int top = (settings.topN > 0) ? settings.topN : size;
        final int size_1 = size - 1;
        for (int i = 0; i < size; i++) {
            intensity[i] = spots[i].intensity;
            if (i < top) {
                x[0] = spots[i].x + bounds.x + 0.5f;
                y[0] = spots[i].y + bounds.y + 0.5f;
                final Color c = LutHelper.getColour(lut, size_1 - i, size);
                addRoi(0, o, x, y, 1, c, 2, 1);
            }
        }
        final String title = TITLE + " Intensity";
        final Plot plot = new Plot(title, "Rank", "Intensity");
        plot.setColor(Color.blue);
        plot.addPoints(rank, intensity, Plot.LINE);
        if (settings.topN > 0 && settings.topN < size) {
            plot.setColor(Color.magenta);
            plot.drawLine(settings.topN, 0, settings.topN, intensity[settings.topN - 1]);
        }
        if (settings.select > 0 && settings.select < size) {
            plot.setColor(Color.yellow);
            final int index = settings.select - 1;
            final double in = intensity[index];
            plot.drawLine(settings.select, 0, settings.select, in);
            x[0] = spots[index].x + bounds.x + 0.5f;
            y[0] = spots[index].y + bounds.y + 0.5f;
            final Color c = LutHelper.getColour(lut, size_1 - settings.select, size);
            addRoi(0, o, x, y, 1, c, 3, 3);
            plot.setColor(Color.black);
            plot.addLabel(0, 0, "Selected spot intensity = " + MathUtils.rounded(in));
        }
        ImageJUtils.display(title, plot, 0, wo);
        wo.tile();
    }
    imp.setOverlay(o);
}

Example 5 with BasePoint

use of uk.ac.sussex.gdsc.core.match.BasePoint in project GDSC-SMLM by aherbert.

the class PsfCreator method runUsingFitting.

private void runUsingFitting() {
    if (!showFittingDialog()) {
        return;
    }
    if (!loadConfiguration()) {
        return;
    }
    final BasePoint[] spots = getSpots(0, true);
    if (spots.length == 0) {
        IJ.error(TITLE, "No spots without neighbours within " + (boxRadius * 2) + "px");
        return;
    }
    final ImageStack stack = getImageStack();
    final int width = imp.getWidth();
    final int height = imp.getHeight();
    final int currentSlice = imp.getSlice();
    // Adjust settings for a single maxima
    config.setIncludeNeighbours(false);
    final ArrayList<double[]> centres = new ArrayList<>(spots.length);
    final int iterations = 1;
    final LoessInterpolator loess = new LoessInterpolator(settings.getSmoothing(), iterations);
    // TODO - The fitting routine may not produce many points. In this instance the LOESS
    // interpolator
    // fails to smooth the data very well. A higher bandwidth helps this but perhaps
    // try a different smoothing method.
    // For each spot
    ImageJUtils.log(TITLE + ": " + imp.getTitle());
    ImageJUtils.log("Finding spot locations...");
    ImageJUtils.log("  %d spot%s without neighbours within %dpx", spots.length, ((spots.length == 1) ? "" : "s"), (boxRadius * 2));
    final StoredDataStatistics averageSd = new StoredDataStatistics();
    final StoredDataStatistics averageA = new StoredDataStatistics();
    final Statistics averageRange = new Statistics();
    final MemoryPeakResults allResults = new MemoryPeakResults();
    allResults.setCalibration(fitConfig.getCalibration());
    allResults.setPsf(fitConfig.getPsf());
    allResults.setName(TITLE);
    allResults.setBounds(new Rectangle(0, 0, width, height));
    MemoryPeakResults.addResults(allResults);
    for (int n = 1; n <= spots.length; n++) {
        final BasePoint spot = spots[n - 1];
        final int x = (int) spot.getX();
        final int y = (int) spot.getY();
        final MemoryPeakResults results = fitSpot(stack, width, height, x, y);
        allResults.add(results);
        if (results.size() < 5) {
            ImageJUtils.log("  Spot %d: Not enough fit results %d", n, results.size());
            continue;
        }
        // Get the results for the spot centre and width
        final double[] z = new double[results.size()];
        final double[] xCoord = new double[z.length];
        final double[] yCoord = new double[z.length];
        final double[] sd;
        final double[] a;
        final Counter counter = new Counter();
        // We have fit the results so they will be in the preferred units
        results.forEach(new PeakResultProcedure() {

            @Override
            public void execute(PeakResult peak) {
                final int i = counter.getAndIncrement();
                z[i] = peak.getFrame();
                xCoord[i] = peak.getXPosition() - x;
                yCoord[i] = peak.getYPosition() - y;
            }
        });
        final WidthResultProcedure wp = new WidthResultProcedure(results, DistanceUnit.PIXEL);
        wp.getW();
        sd = SimpleArrayUtils.toDouble(wp.wx);
        final HeightResultProcedure hp = new HeightResultProcedure(results, IntensityUnit.COUNT);
        hp.getH();
        a = SimpleArrayUtils.toDouble(hp.heights);
        // Smooth the amplitude plot
        final double[] smoothA = loess.smooth(z, a);
        // Find the maximum amplitude
        int maximumIndex = findMaximumIndex(smoothA);
        // Find the range at a fraction of the max. This is smoothed to find the X/Y centre
        int start = 0;
        int stop = smoothA.length - 1;
        final double limit = smoothA[maximumIndex] * settings.getAmplitudeFraction();
        for (int j = 0; j < smoothA.length; j++) {
            if (smoothA[j] > limit) {
                start = j;
                break;
            }
        }
        for (int j = smoothA.length; j-- > 0; ) {
            if (smoothA[j] > limit) {
                stop = j;
                break;
            }
        }
        averageRange.add(stop - start + 1);
        // Extract xy centre coords and smooth
        double[] smoothX = new double[stop - start + 1];
        double[] smoothY = new double[smoothX.length];
        double[] smoothSd = new double[smoothX.length];
        final double[] newZ = new double[smoothX.length];
        for (int j = start, k = 0; j <= stop; j++, k++) {
            smoothX[k] = xCoord[j];
            smoothY[k] = yCoord[j];
            smoothSd[k] = sd[j];
            newZ[k] = z[j];
        }
        smoothX = loess.smooth(newZ, smoothX);
        smoothY = loess.smooth(newZ, smoothY);
        smoothSd = loess.smooth(newZ, smoothSd);
        // Since the amplitude is not very consistent move from this peak to the
        // lowest width which is the in-focus spot.
        maximumIndex = findMinimumIndex(smoothSd, maximumIndex - start);
        // Find the centre at the amplitude peak
        final double cx = smoothX[maximumIndex] + x;
        final double cy = smoothY[maximumIndex] + y;
        int cz = (int) newZ[maximumIndex];
        double csd = smoothSd[maximumIndex];
        double ca = smoothA[maximumIndex + start];
        // The average should weight the SD using the signal for each spot
        averageSd.add(smoothSd[maximumIndex]);
        averageA.add(ca);
        if (ignoreSpot(n, z, a, smoothA, xCoord, yCoord, sd, newZ, smoothX, smoothY, smoothSd, cx, cy, cz, csd)) {
            ImageJUtils.log("  Spot %d was ignored", n);
            continue;
        }
        // Store result - it may have been moved interactively
        maximumIndex += this.slice - cz;
        cz = (int) newZ[maximumIndex];
        csd = smoothSd[maximumIndex];
        ca = smoothA[maximumIndex + start];
        ImageJUtils.log("  Spot %d => x=%.2f, y=%.2f, z=%d, sd=%.2f, A=%.2f", n, cx, cy, cz, csd, ca);
        centres.add(new double[] { cx, cy, cz, csd, n });
    }
    if (settings.getInteractiveMode()) {
        imp.setSlice(currentSlice);
        imp.setOverlay(null);
        // Hide the amplitude and spot plots
        ImageJUtils.hide(TITLE_AMPLITUDE);
        ImageJUtils.hide(TITLE_PSF_PARAMETERS);
    }
    if (centres.isEmpty()) {
        final String msg = "No suitable spots could be identified";
        ImageJUtils.log(msg);
        IJ.error(TITLE, msg);
        return;
    }
    // Find the limits of the z-centre
    int minz = (int) centres.get(0)[2];
    int maxz = minz;
    for (final double[] centre : centres) {
        if (minz > centre[2]) {
            minz = (int) centre[2];
        } else if (maxz < centre[2]) {
            maxz = (int) centre[2];
        }
    }
    IJ.showStatus("Creating PSF image");
    // Create a stack that can hold all the data.
    final ImageStack psf = createStack(stack, minz, maxz, settings.getMagnification());
    // For each spot
    final Statistics stats = new Statistics();
    boolean ok = true;
    for (int i = 0; ok && i < centres.size(); i++) {
        final double increment = 1.0 / (stack.getSize() * centres.size());
        setProgress((double) i / centres.size());
        final double[] centre = centres.get(i);
        // Extract the spot
        final float[][] spot = new float[stack.getSize()][];
        Rectangle regionBounds = null;
        for (int slice = 1; slice <= stack.getSize(); slice++) {
            final ImageExtractor ie = ImageExtractor.wrap((float[]) stack.getPixels(slice), width, height);
            if (regionBounds == null) {
                regionBounds = ie.getBoxRegionBounds((int) centre[0], (int) centre[1], boxRadius);
            }
            spot[slice - 1] = ie.crop(regionBounds);
        }
        if (regionBounds == null) {
            // Empty stack
            continue;
        }
        final int n = (int) centre[4];
        final float b = getBackground(n, spot);
        if (!subtractBackgroundAndWindow(spot, b, regionBounds.width, regionBounds.height, centre, loess)) {
            ImageJUtils.log("  Spot %d was ignored", n);
            continue;
        }
        stats.add(b);
        // Adjust the centre using the crop
        centre[0] -= regionBounds.x;
        centre[1] -= regionBounds.y;
        // This takes a long time so this should track progress
        ok = addToPsf(maxz, settings.getMagnification(), psf, centre, spot, regionBounds, increment, settings.getCentreEachSlice());
    }
    if (settings.getInteractiveMode()) {
        ImageJUtils.hide(TITLE_INTENSITY);
    }
    IJ.showProgress(1);
    if (!ok || stats.getN() == 0) {
        return;
    }
    final double avSd = getAverage(averageSd, averageA, 2);
    ImageJUtils.log("  Average background = %.2f, Av. SD = %s px", stats.getMean(), MathUtils.rounded(avSd, 4));
    normalise(psf, maxz, avSd * settings.getMagnification(), false);
    IJ.showProgress(1);
    psfImp = ImageJUtils.display(TITLE_PSF, psf);
    psfImp.setSlice(maxz);
    psfImp.resetDisplayRange();
    psfImp.updateAndDraw();
    final double[][] fitCom = new double[2][psf.getSize()];
    Arrays.fill(fitCom[0], Double.NaN);
    Arrays.fill(fitCom[1], Double.NaN);
    final double fittedSd = fitPsf(psf, loess, maxz, averageRange.getMean(), fitCom);
    // Compute the drift in the PSF:
    // - Use fitted centre if available; otherwise find CoM for each frame
    // - express relative to the average centre
    final double[][] com = calculateCentreOfMass(psf, fitCom, nmPerPixel / settings.getMagnification());
    final double[] slice = SimpleArrayUtils.newArray(psf.getSize(), 1, 1.0);
    final String title = TITLE + " CoM Drift";
    final Plot plot = new Plot(title, "Slice", "Drift (nm)");
    plot.addLabel(0, 0, "Red = X; Blue = Y");
    // double[] limitsX = Maths.limits(com[0]);
    // double[] limitsY = Maths.limits(com[1]);
    final double[] limitsX = getLimits(com[0]);
    final double[] limitsY = getLimits(com[1]);
    plot.setLimits(1, psf.getSize(), Math.min(limitsX[0], limitsY[0]), Math.max(limitsX[1], limitsY[1]));
    plot.setColor(Color.red);
    plot.addPoints(slice, com[0], Plot.DOT);
    plot.addPoints(slice, loess.smooth(slice, com[0]), Plot.LINE);
    plot.setColor(Color.blue);
    plot.addPoints(slice, com[1], Plot.DOT);
    plot.addPoints(slice, loess.smooth(slice, com[1]), Plot.LINE);
    ImageJUtils.display(title, plot);
    // TODO - Redraw the PSF with drift correction applied.
    // This means that the final image should have no drift.
    // This is relevant when combining PSF images. It doesn't matter too much for simulations
    // unless the drift is large.
    // Add Image properties containing the PSF details
    final double fwhm = getFwhm(psf, maxz);
    psfImp.setProperty("Info", ImagePsfHelper.toString(ImagePsfHelper.create(maxz, nmPerPixel / settings.getMagnification(), settings.getNmPerSlice(), stats.getN(), fwhm, createNote())));
    ImageJUtils.log("%s : z-centre = %d, nm/Pixel = %s, nm/Slice = %s, %d images, " + "PSF SD = %s nm, FWHM = %s px\n", psfImp.getTitle(), maxz, MathUtils.rounded(nmPerPixel / settings.getMagnification(), 3), MathUtils.rounded(settings.getNmPerSlice(), 3), stats.getN(), MathUtils.rounded(fittedSd * nmPerPixel, 4), MathUtils.rounded(fwhm));
    createInteractivePlots(psf, maxz, nmPerPixel / settings.getMagnification(), fittedSd * nmPerPixel);
    IJ.showStatus("");
}