Examples with CoordinateTransform mpicbg.trakem2.transform.CoordinateTransform used on opensource projects

Example 1 with CoordinateTransform

use of mpicbg.trakem2.transform.CoordinateTransform in project TrakEM2 by trakem2.

the class ElasticLayerAlignment method exec.

/**
 * @param param
 * @param layerRange
 * @param fixedLayers
 * @param emptyLayers
 * @param box
 * @param filter
 * @param useTps true if using TPS transforms, otherwise MLS
 * @throws Exception
 */
@SuppressWarnings("deprecation")
public final void exec(final Param param, final Project project, final List<Layer> layerRange, final Set<Layer> fixedLayers, final Set<Layer> emptyLayers, final Rectangle box, final boolean propagateTransformBefore, final boolean propagateTransformAfter, final Filter<Patch> filter) throws Exception {
    final ExecutorService service = ExecutorProvider.getExecutorService(1.0f);
    /* create tiles and models for all layers */
    final ArrayList<Tile<?>> tiles = new ArrayList<Tile<?>>();
    for (int i = 0; i < layerRange.size(); ++i) {
        switch(param.desiredModelIndex) {
            case 0:
                tiles.add(new Tile<TranslationModel2D>(new TranslationModel2D()));
                break;
            case 1:
                tiles.add(new Tile<RigidModel2D>(new RigidModel2D()));
                break;
            case 2:
                tiles.add(new Tile<SimilarityModel2D>(new SimilarityModel2D()));
                break;
            case 3:
                tiles.add(new Tile<AffineModel2D>(new AffineModel2D()));
                break;
            case 4:
                tiles.add(new Tile<HomographyModel2D>(new HomographyModel2D()));
                break;
            default:
                return;
        }
    }
    /* collect all pairs of slices for which a model could be found */
    final ArrayList<Triple<Integer, Integer, AbstractModel<?>>> pairs = new ArrayList<Triple<Integer, Integer, AbstractModel<?>>>();
    if (!param.isAligned) {
        preAlignStack(param, project, layerRange, box, filter, pairs);
    } else {
        for (int i = 0; i < layerRange.size(); ++i) {
            final int range = Math.min(layerRange.size(), i + param.maxNumNeighbors + 1);
            for (int j = i + 1; j < range; ++j) {
                pairs.add(new Triple<Integer, Integer, AbstractModel<?>>(i, j, new TranslationModel2D()));
            }
        }
    }
    /* Elastic alignment */
    /* Initialization */
    final TileConfiguration initMeshes = new TileConfiguration();
    final int meshWidth = (int) Math.ceil(box.width * param.layerScale);
    final int meshHeight = (int) Math.ceil(box.height * param.layerScale);
    final ArrayList<SpringMesh> meshes = new ArrayList<SpringMesh>(layerRange.size());
    for (int i = 0; i < layerRange.size(); ++i) {
        meshes.add(new SpringMesh(param.resolutionSpringMesh, meshWidth, meshHeight, param.stiffnessSpringMesh, param.maxStretchSpringMesh * param.layerScale, param.dampSpringMesh));
    }
    // final int blockRadius = Math.max( 32, meshWidth / p.resolutionSpringMesh / 2 );
    final int blockRadius = Math.max(16, mpicbg.util.Util.roundPos(param.layerScale * param.blockRadius));
    Utils.log("effective block radius = " + blockRadius);
    final ArrayList<Future<BlockMatchPairCallable.BlockMatchResults>> futures = new ArrayList<Future<BlockMatchPairCallable.BlockMatchResults>>(pairs.size());
    for (final Triple<Integer, Integer, AbstractModel<?>> pair : pairs) {
        /* free memory */
        project.getLoader().releaseAll();
        final SpringMesh m1 = meshes.get(pair.a);
        final SpringMesh m2 = meshes.get(pair.b);
        final ArrayList<Vertex> v1 = m1.getVertices();
        final ArrayList<Vertex> v2 = m2.getVertices();
        final Layer layer1 = layerRange.get(pair.a);
        final Layer layer2 = layerRange.get(pair.b);
        final boolean layer1Fixed = fixedLayers.contains(layer1);
        final boolean layer2Fixed = fixedLayers.contains(layer2);
        if (!(layer1Fixed && layer2Fixed)) {
            final BlockMatchPairCallable bmpc = new BlockMatchPairCallable(pair, layerRange, layer1Fixed, layer2Fixed, filter, param, v1, v2, box);
            futures.add(service.submit(bmpc));
        }
    }
    for (final Future<BlockMatchPairCallable.BlockMatchResults> future : futures) {
        final BlockMatchPairCallable.BlockMatchResults results = future.get();
        final Collection<PointMatch> pm12 = results.pm12, pm21 = results.pm21;
        final Triple<Integer, Integer, AbstractModel<?>> pair = results.pair;
        final Tile<?> t1 = tiles.get(pair.a);
        final Tile<?> t2 = tiles.get(pair.b);
        final SpringMesh m1 = meshes.get(pair.a);
        final SpringMesh m2 = meshes.get(pair.b);
        final double springConstant = 1.0 / (pair.b - pair.a);
        final boolean layer1Fixed = results.layer1Fixed;
        final boolean layer2Fixed = results.layer2Fixed;
        if (layer1Fixed) {
            initMeshes.fixTile(t1);
        } else {
            if (param.useLocalSmoothnessFilter) {
                Utils.log(pair.a + " > " + pair.b + ": " + pm12.size() + " candidates passed local smoothness filter.");
            } else {
                Utils.log(pair.a + " > " + pair.b + ": found " + pm12.size() + " correspondences.");
            }
            for (final PointMatch pm : pm12) {
                final Vertex p1 = (Vertex) pm.getP1();
                final Vertex p2 = new Vertex(pm.getP2());
                p1.addSpring(p2, new Spring(0, springConstant));
                m2.addPassiveVertex(p2);
            }
            /*
                * adding Tiles to the initialing TileConfiguration, adding a Tile
                * multiple times does not harm because the TileConfiguration is
                * backed by a Set.
                */
            if (pm12.size() > pair.c.getMinNumMatches()) {
                initMeshes.addTile(t1);
                initMeshes.addTile(t2);
                t1.connect(t2, pm12);
            }
        }
        if (layer2Fixed)
            initMeshes.fixTile(t2);
        else {
            if (param.useLocalSmoothnessFilter) {
                Utils.log(pair.a + " < " + pair.b + ": " + pm21.size() + " candidates passed local smoothness filter.");
            } else {
                Utils.log(pair.a + " < " + pair.b + ": found " + pm21.size() + " correspondences.");
            }
            for (final PointMatch pm : pm21) {
                final Vertex p1 = (Vertex) pm.getP1();
                final Vertex p2 = new Vertex(pm.getP2());
                p1.addSpring(p2, new Spring(0, springConstant));
                m1.addPassiveVertex(p2);
            }
            /*
                * adding Tiles to the initialing TileConfiguration, adding a Tile
                * multiple times does not harm because the TileConfiguration is
                * backed by a Set.
                */
            if (pm21.size() > pair.c.getMinNumMatches()) {
                initMeshes.addTile(t1);
                initMeshes.addTile(t2);
                t2.connect(t1, pm21);
            }
        }
        Utils.log(pair.a + " <> " + pair.b + " spring constant = " + springConstant);
    }
    /* pre-align by optimizing a piecewise linear model */
    initMeshes.optimize(param.maxEpsilon * param.layerScale, param.maxIterationsSpringMesh, param.maxPlateauwidthSpringMesh);
    for (int i = 0; i < layerRange.size(); ++i) meshes.get(i).init(tiles.get(i).getModel());
    /* optimize the meshes */
    try {
        final long t0 = System.currentTimeMillis();
        Utils.log("Optimizing spring meshes...");
        if (param.useLegacyOptimizer) {
            Utils.log("  ...using legacy optimizer...");
            SpringMesh.optimizeMeshes2(meshes, param.maxEpsilon * param.layerScale, param.maxIterationsSpringMesh, param.maxPlateauwidthSpringMesh, param.visualize);
        } else {
            SpringMesh.optimizeMeshes(meshes, param.maxEpsilon * param.layerScale, param.maxIterationsSpringMesh, param.maxPlateauwidthSpringMesh, param.visualize);
        }
        Utils.log("Done optimizing spring meshes. Took " + (System.currentTimeMillis() - t0) + " ms");
    } catch (final NotEnoughDataPointsException e) {
        Utils.log("There were not enough data points to get the spring mesh optimizing.");
        e.printStackTrace();
        return;
    }
    /* translate relative to bounding box */
    for (final SpringMesh mesh : meshes) {
        for (final PointMatch pm : mesh.getVA().keySet()) {
            final Point p1 = pm.getP1();
            final Point p2 = pm.getP2();
            final double[] l = p1.getL();
            final double[] w = p2.getW();
            l[0] = l[0] / param.layerScale + box.x;
            l[1] = l[1] / param.layerScale + box.y;
            w[0] = w[0] / param.layerScale + box.x;
            w[1] = w[1] / param.layerScale + box.y;
        }
    }
    /* free memory */
    project.getLoader().releaseAll();
    final Layer first = layerRange.get(0);
    final List<Layer> layers = first.getParent().getLayers();
    final LayerSet ls = first.getParent();
    final Area infArea = AreaUtils.infiniteArea();
    final List<VectorData> vectorData = new ArrayList<VectorData>();
    for (final Layer layer : ls.getLayers()) {
        vectorData.addAll(Utils.castCollection(layer.getDisplayables(VectorData.class, false, true), VectorData.class, true));
    }
    vectorData.addAll(Utils.castCollection(ls.getZDisplayables(VectorData.class, true), VectorData.class, true));
    /* transfer layer transform into patch transforms and append to patches */
    if (propagateTransformBefore || propagateTransformAfter) {
        if (propagateTransformBefore) {
            final ThinPlateSplineTransform tps = makeTPS(meshes.get(0).getVA().keySet());
            final int firstLayerIndex = first.getParent().getLayerIndex(first.getId());
            for (int i = 0; i < firstLayerIndex; ++i) {
                applyTransformToLayer(layers.get(i), tps, filter);
                for (final VectorData vd : vectorData) {
                    vd.apply(layers.get(i), infArea, tps);
                }
            }
        }
        if (propagateTransformAfter) {
            final Layer last = layerRange.get(layerRange.size() - 1);
            final CoordinateTransform ct;
            if (param.useTps)
                ct = makeTPS(meshes.get(meshes.size() - 1).getVA().keySet());
            else {
                final MovingLeastSquaresTransform2 mls = new MovingLeastSquaresTransform2();
                mls.setMatches(meshes.get(meshes.size() - 1).getVA().keySet());
                ct = mls;
            }
            final int lastLayerIndex = last.getParent().getLayerIndex(last.getId());
            for (int i = lastLayerIndex + 1; i < layers.size(); ++i) {
                applyTransformToLayer(layers.get(i), ct, filter);
                for (final VectorData vd : vectorData) {
                    vd.apply(layers.get(i), infArea, ct);
                }
            }
        }
    }
    for (int l = 0; l < layerRange.size(); ++l) {
        IJ.showStatus("Applying transformation to patches ...");
        IJ.showProgress(0, layerRange.size());
        final Layer layer = layerRange.get(l);
        final ThinPlateSplineTransform tps = makeTPS(meshes.get(l).getVA().keySet());
        applyTransformToLayer(layer, tps, filter);
        for (final VectorData vd : vectorData) {
            vd.apply(layer, infArea, tps);
        }
        if (Thread.interrupted()) {
            Utils.log("Interrupted during applying transformations to patches.  No all patches have been updated.  Re-generate mipmaps manually.");
        }
        IJ.showProgress(l + 1, layerRange.size());
    }
    /* update patch mipmaps */
    final int firstLayerIndex;
    final int lastLayerIndex;
    if (propagateTransformBefore)
        firstLayerIndex = 0;
    else {
        firstLayerIndex = first.getParent().getLayerIndex(first.getId());
    }
    if (propagateTransformAfter)
        lastLayerIndex = layers.size() - 1;
    else {
        final Layer last = layerRange.get(layerRange.size() - 1);
        lastLayerIndex = last.getParent().getLayerIndex(last.getId());
    }
    for (int i = firstLayerIndex; i <= lastLayerIndex; ++i) {
        final Layer layer = layers.get(i);
        if (!(emptyLayers.contains(layer) || fixedLayers.contains(layer))) {
            for (final Patch patch : AlignmentUtils.filterPatches(layer, filter)) patch.updateMipMaps();
        }
    }
    Utils.log("Done.");
}

Example 2 with CoordinateTransform

use of mpicbg.trakem2.transform.CoordinateTransform in project TrakEM2 by trakem2.

the class AlignLayersTask method alignLayersNonLinearlyJob.

public static final void alignLayersNonLinearlyJob(final LayerSet layerSet, final int first, final int last, final boolean propagateTransform, final Rectangle fov, final Filter<Patch> filter) {
    // will reverse order if necessary
    final List<Layer> layerRange = layerSet.getLayers(first, last);
    final Align.Param p = Align.param.clone();
    // Remove all empty layers
    for (final Iterator<Layer> it = layerRange.iterator(); it.hasNext(); ) {
        if (!it.next().contains(Patch.class, true)) {
            it.remove();
        }
    }
    if (0 == layerRange.size()) {
        Utils.log("No layers in range show any images!");
        return;
    }
    /* do not work if there is only one layer selected */
    if (layerRange.size() < 2)
        return;
    final List<Patch> all = new ArrayList<Patch>();
    for (final Layer la : layerRange) {
        for (final Patch patch : la.getAll(Patch.class)) {
            if (null != filter && !filter.accept(patch))
                continue;
            all.add(patch);
        }
    }
    AlignTask.transformPatchesAndVectorData(all, new Runnable() {

        @Override
        public void run() {
            // ///
            final Loader loader = layerSet.getProject().getLoader();
            // Not concurrent safe! So two copies, one per layer and Thread:
            final SIFT ijSIFT1 = new SIFT(new FloatArray2DSIFT(p.sift));
            final SIFT ijSIFT2 = new SIFT(new FloatArray2DSIFT(p.sift));
            final Collection<Feature> features1 = new ArrayList<Feature>();
            final Collection<Feature> features2 = new ArrayList<Feature>();
            final List<PointMatch> candidates = new ArrayList<PointMatch>();
            final List<PointMatch> inliers = new ArrayList<PointMatch>();
            final int n_proc = Runtime.getRuntime().availableProcessors() > 1 ? 2 : 1;
            final ExecutorService exec = Utils.newFixedThreadPool(n_proc, "alignLayersNonLinearly");
            List<Patch> previousPatches = null;
            int s = 0;
            for (int i = 1; i < layerRange.size(); ++i) {
                if (Thread.currentThread().isInterrupted())
                    break;
                final Layer layer1 = layerRange.get(i - 1);
                final Layer layer2 = layerRange.get(i);
                final long t0 = System.currentTimeMillis();
                features1.clear();
                features2.clear();
                final Rectangle box1 = null == fov ? layer1.getMinimalBoundingBox(Patch.class, true) : fov;
                final Rectangle box2 = null == fov ? layer2.getMinimalBoundingBox(Patch.class, true) : fov;
                /* calculate the common scale factor for both flat images */
                final double scale = Math.min(1.0f, (double) p.sift.maxOctaveSize / (double) Math.max(box1.width, Math.max(box1.height, Math.max(box2.width, box2.height))));
                final List<Patch> patches1;
                if (null == previousPatches) {
                    patches1 = layer1.getAll(Patch.class);
                    if (null != filter) {
                        for (final Iterator<Patch> it = patches1.iterator(); it.hasNext(); ) {
                            if (!filter.accept(it.next()))
                                it.remove();
                        }
                    }
                } else {
                    patches1 = previousPatches;
                }
                final List<Patch> patches2 = layer2.getAll(Patch.class);
                if (null != filter) {
                    for (final Iterator<Patch> it = patches2.iterator(); it.hasNext(); ) {
                        if (!filter.accept(it.next()))
                            it.remove();
                    }
                }
                final Future<ImageProcessor> fu1 = exec.submit(new Callable<ImageProcessor>() {

                    @Override
                    public ImageProcessor call() {
                        final ImageProcessor ip1 = loader.getFlatImage(layer1, box1, scale, 0xffffffff, ImagePlus.GRAY8, Patch.class, patches1, true).getProcessor();
                        ijSIFT1.extractFeatures(ip1, features1);
                        Utils.log(features1.size() + " features extracted in layer \"" + layer1.getTitle() + "\" (took " + (System.currentTimeMillis() - t0) + " ms).");
                        return ip1;
                    }
                });
                final Future<ImageProcessor> fu2 = exec.submit(new Callable<ImageProcessor>() {

                    @Override
                    public ImageProcessor call() {
                        final ImageProcessor ip2 = loader.getFlatImage(layer2, box2, scale, 0xffffffff, ImagePlus.GRAY8, Patch.class, patches2, true).getProcessor();
                        ijSIFT2.extractFeatures(ip2, features2);
                        Utils.log(features2.size() + " features extracted in layer \"" + layer2.getTitle() + "\" (took " + (System.currentTimeMillis() - t0) + " ms).");
                        return ip2;
                    }
                });
                final ImageProcessor ip1, ip2;
                try {
                    ip1 = fu1.get();
                    ip2 = fu2.get();
                } catch (final Exception e) {
                    IJError.print(e);
                    return;
                }
                if (features1.size() > 0 && features2.size() > 0) {
                    final long t1 = System.currentTimeMillis();
                    candidates.clear();
                    FeatureTransform.matchFeatures(features2, features1, candidates, p.rod);
                    final AbstractAffineModel2D<?> model;
                    switch(p.expectedModelIndex) {
                        case 0:
                            model = new TranslationModel2D();
                            break;
                        case 1:
                            model = new RigidModel2D();
                            break;
                        case 2:
                            model = new SimilarityModel2D();
                            break;
                        case 3:
                            model = new AffineModel2D();
                            break;
                        default:
                            return;
                    }
                    boolean modelFound;
                    boolean again = false;
                    try {
                        do {
                            again = false;
                            modelFound = model.filterRansac(candidates, inliers, 1000, p.maxEpsilon, p.minInlierRatio, p.minNumInliers, 3);
                            if (modelFound && p.rejectIdentity) {
                                final ArrayList<Point> points = new ArrayList<Point>();
                                PointMatch.sourcePoints(inliers, points);
                                if (Transforms.isIdentity(model, points, p.identityTolerance)) {
                                    IJ.log("Identity transform for " + inliers.size() + " matches rejected.");
                                    candidates.removeAll(inliers);
                                    inliers.clear();
                                    again = true;
                                }
                            }
                        } while (again);
                    } catch (final NotEnoughDataPointsException e) {
                        modelFound = false;
                    }
                    if (modelFound) {
                        IJ.log("Model found for layer \"" + layer2.getTitle() + "\" and its predecessor:\n  correspondences  " + inliers.size() + " of " + candidates.size() + "\n  average residual error  " + (model.getCost() / scale) + " px\n  took " + (System.currentTimeMillis() - t1) + " ms");
                        final ImagePlus imp1 = new ImagePlus("target", ip1);
                        final ImagePlus imp2 = new ImagePlus("source", ip2);
                        final List<Point> sourcePoints = new ArrayList<Point>();
                        final List<Point> targetPoints = new ArrayList<Point>();
                        PointMatch.sourcePoints(inliers, sourcePoints);
                        PointMatch.targetPoints(inliers, targetPoints);
                        imp2.setRoi(Util.pointsToPointRoi(sourcePoints));
                        imp1.setRoi(Util.pointsToPointRoi(targetPoints));
                        final ImageProcessor mask1 = ip1.duplicate();
                        mask1.threshold(1);
                        final ImageProcessor mask2 = ip2.duplicate();
                        mask2.threshold(1);
                        final Transformation warp = bUnwarpJ_.computeTransformationBatch(imp2, imp1, mask2, mask1, elasticParam);
                        final CubicBSplineTransform transf = new CubicBSplineTransform();
                        transf.set(warp.getIntervals(), warp.getDirectDeformationCoefficientsX(), warp.getDirectDeformationCoefficientsY(), imp2.getWidth(), imp2.getHeight());
                        final ArrayList<Future<?>> fus = new ArrayList<Future<?>>();
                        // Transform desired patches only
                        for (final Patch patch : patches2) {
                            try {
                                final Rectangle pbox = patch.getCoordinateTransformBoundingBox();
                                final AffineTransform at = patch.getAffineTransform();
                                final AffineTransform pat = new AffineTransform();
                                pat.scale(scale, scale);
                                pat.translate(-box2.x, -box2.y);
                                pat.concatenate(at);
                                pat.translate(-pbox.x, -pbox.y);
                                final mpicbg.trakem2.transform.AffineModel2D toWorld = new mpicbg.trakem2.transform.AffineModel2D();
                                toWorld.set(pat);
                                final CoordinateTransformList<CoordinateTransform> ctl = new CoordinateTransformList<CoordinateTransform>();
                                // move the patch into the global space where bUnwarpJ calculated the transformation
                                ctl.add(toWorld);
                                // Apply non-linear transformation
                                ctl.add(transf);
                                // move it back
                                ctl.add(toWorld.createInverse());
                                patch.appendCoordinateTransform(ctl);
                                fus.add(patch.updateMipMaps());
                                // Compensate for offset between boxes
                                final AffineTransform offset = new AffineTransform();
                                offset.translate(box1.x - box2.x, box1.y - box2.y);
                                offset.concatenate(at);
                                patch.setAffineTransform(offset);
                            } catch (final Exception e) {
                                e.printStackTrace();
                            }
                        }
                        // await regeneration of all mipmaps
                        Utils.wait(fus);
                        Display.repaint(layer2);
                    } else
                        IJ.log("No model found for layer \"" + layer2.getTitle() + "\" and its predecessor:\n  correspondence candidates  " + candidates.size() + "\n  took " + (System.currentTimeMillis() - s) + " ms");
                }
                IJ.showProgress(++s, layerRange.size());
                // for next iteration
                previousPatches = patches2;
            }
            exec.shutdown();
            if (propagateTransform)
                Utils.log("Propagation not implemented yet for non-linear layer alignment.");
        /* // CANNOT be done (at least not trivially:
		 * //an appropriate "scale" cannot be computed, and the box2 is part of the spline computation.
		if ( propagateTransform && null != lastTransform )
		{
			for (final Layer la : l.getParent().getLayers(last > first ? last +1 : first -1, last > first ? l.getParent().size() -1 : 0)) {
				// Transform visible patches only
				final Rectangle box2 = la.getMinimalBoundingBox( Patch.class, true );
				for ( final Displayable disp : la.getDisplayables( Patch.class, true ) )
				{
					// ...
				}
			}
		}
		*/
        }
    });
// end of transformPatchesAndVectorData
}

Example 3 with CoordinateTransform

use of mpicbg.trakem2.transform.CoordinateTransform in project TrakEM2 by trakem2.

the class Util method applyLayerTransformToPatch.

public static final void applyLayerTransformToPatch(final Patch patch, final CoordinateTransform ct) throws Exception {
    final Rectangle pbox = patch.getCoordinateTransformBoundingBox();
    final AffineTransform pat = new AffineTransform();
    pat.translate(-pbox.x, -pbox.y);
    pat.preConcatenate(patch.getAffineTransform());
    final AffineModel2D toWorld = new AffineModel2D();
    toWorld.set(pat);
    final CoordinateTransformList<CoordinateTransform> ctl = new CoordinateTransformList<CoordinateTransform>();
    ctl.add(toWorld);
    ctl.add(ct);
    ctl.add(toWorld.createInverse());
    patch.appendCoordinateTransform(ctl);
}

Example 4 with CoordinateTransform

use of mpicbg.trakem2.transform.CoordinateTransform in project TrakEM2 by trakem2.

the class NonLinearTransformMode method createCT.

private CoordinateTransform createCT() throws Exception {
    final Collection<PointMatch> pm = new ArrayList<PointMatch>();
    for (final Point p : points) {
        pm.add(new PointMatch(new Point(p.getL()), new Point(p.getW())));
    }
    /*
		 * TODO replace this with the desired parameters of the transformation
		 */
    final MovingLeastSquaresTransform2 mlst = new MovingLeastSquaresTransform2();
    mlst.setAlpha(1.0f);
    Class<? extends AbstractAffineModel2D<?>> c = AffineModel2D.class;
    switch(points.size()) {
        case 1:
            c = TranslationModel2D.class;
            break;
        case 2:
            c = SimilarityModel2D.class;
            break;
        default:
            break;
    }
    mlst.setModel(c);
    mlst.setMatches(pm);
    return mlst;
}

Example 5 with CoordinateTransform

use of mpicbg.trakem2.transform.CoordinateTransform in project TrakEM2 by trakem2.

the class NonLinearTransformMode method applyToPatch.

private final Future<Boolean> applyToPatch(final Patch patch) throws Exception {
    final Rectangle pbox = patch.getCoordinateTransformBoundingBox();
    final AffineTransform pat = new AffineTransform();
    pat.translate(-pbox.x, -pbox.y);
    pat.preConcatenate(patch.getAffineTransform());
    final AffineModel2D toWorld = new AffineModel2D();
    toWorld.set(pat);
    final CoordinateTransform mlst = createCT();
    final CoordinateTransformList<CoordinateTransform> ctl = new CoordinateTransformList<CoordinateTransform>();
    ctl.add(toWorld);
    ctl.add(mlst);
    ctl.add(toWorld.createInverse());
    patch.appendCoordinateTransform(ctl);
    return patch.updateMipMaps();
}