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

Example 1 with ThinPlateSplineTransform

use of mpicbg.trakem2.transform.ThinPlateSplineTransform 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 ThinPlateSplineTransform

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

the class ElasticMontage method exec.

@SuppressWarnings("deprecation")
public final void exec(final Param param, final List<Patch> patches, final Set<Patch> fixedPatches) throws Exception {
    /* free memory */
    patches.get(0).getProject().getLoader().releaseAll();
    /* create tiles and models for all patches */
    final ArrayList<AbstractAffineTile2D<?>> tiles = new ArrayList<AbstractAffineTile2D<?>>();
    final ArrayList<AbstractAffineTile2D<?>> fixedTiles = new ArrayList<AbstractAffineTile2D<?>>();
    Align.tilesFromPatches(param.po, patches, fixedPatches, tiles, fixedTiles);
    if (!param.isAligned) {
        Align.alignTiles(param.po, tiles, fixedTiles, param.tilesAreInPlace, param.maxNumThreads);
        /* Apply the estimated affine transform to patches */
        for (final AbstractAffineTile2D<?> t : tiles) t.getPatch().setAffineTransform(t.createAffine());
        Display.update();
    }
    /* generate tile pairs for all by now overlapping tiles */
    final ArrayList<AbstractAffineTile2D<?>[]> tilePairs = new ArrayList<AbstractAffineTile2D<?>[]>();
    AbstractAffineTile2D.pairOverlappingTiles(tiles, tilePairs);
    /* check if there was any pair */
    if (tilePairs.size() == 0) {
        Utils.log("Elastic montage could not find any overlapping patches after pre-montaging.");
        return;
    }
    Utils.log(tilePairs.size() + " pairs of patches will be block-matched...");
    /* make pairwise global models local */
    final ArrayList<Triple<AbstractAffineTile2D<?>, AbstractAffineTile2D<?>, InvertibleCoordinateTransform>> pairs = new ArrayList<Triple<AbstractAffineTile2D<?>, AbstractAffineTile2D<?>, InvertibleCoordinateTransform>>();
    /*
		 * The following casting madness is necessary to get this code compiled
		 * with Sun/Oracle Java 6 which otherwise generates an inconvertible
		 * type exception.
		 *
		 * TODO Remove as soon as this bug is fixed in Sun/Oracle javac.
		 */
    for (final AbstractAffineTile2D<?>[] pair : tilePairs) {
        final AbstractAffineModel2D<?> m;
        switch(param.po.desiredModelIndex) {
            case 0:
                final TranslationModel2D t = (TranslationModel2D) (Object) pair[1].getModel().createInverse();
                t.concatenate((TranslationModel2D) (Object) pair[0].getModel());
                m = t;
                break;
            case 1:
                final RigidModel2D r = (RigidModel2D) (Object) pair[1].getModel().createInverse();
                r.concatenate((RigidModel2D) (Object) pair[0].getModel());
                m = r;
                break;
            case 2:
                final SimilarityModel2D s = (SimilarityModel2D) (Object) pair[1].getModel().createInverse();
                s.concatenate((SimilarityModel2D) (Object) pair[0].getModel());
                m = s;
                break;
            case 3:
                final AffineModel2D a = (AffineModel2D) (Object) pair[1].getModel().createInverse();
                a.concatenate((AffineModel2D) (Object) pair[0].getModel());
                m = a;
                break;
            default:
                m = null;
        }
        pairs.add(new Triple<AbstractAffineTile2D<?>, AbstractAffineTile2D<?>, InvertibleCoordinateTransform>(pair[0], pair[1], m));
    }
    /* Elastic alignment */
    /* Initialization */
    final double springTriangleHeightTwice = 2 * Math.sqrt(0.75 * param.springLengthSpringMesh * param.springLengthSpringMesh);
    final ArrayList<SpringMesh> meshes = new ArrayList<SpringMesh>(tiles.size());
    final HashMap<AbstractAffineTile2D<?>, SpringMesh> tileMeshMap = new HashMap<AbstractAffineTile2D<?>, SpringMesh>();
    for (final AbstractAffineTile2D<?> tile : tiles) {
        final double w = tile.getWidth();
        final double h = tile.getHeight();
        final int numX = Math.max(2, (int) Math.ceil(w / param.springLengthSpringMesh) + 1);
        final int numY = Math.max(2, (int) Math.ceil(h / springTriangleHeightTwice) + 1);
        final double wMesh = (numX - 1) * param.springLengthSpringMesh;
        final double hMesh = (numY - 1) * springTriangleHeightTwice;
        final SpringMesh mesh = new SpringMesh(numX, numY, wMesh, hMesh, param.stiffnessSpringMesh, param.maxStretchSpringMesh * param.bmScale, param.dampSpringMesh);
        meshes.add(mesh);
        tileMeshMap.put(tile, mesh);
    }
    // final int blockRadius = Math.max( 32, Util.roundPos( param.springLengthSpringMesh / 2 ) );
    final int blockRadius = Math.max(Util.roundPos(16 / param.bmScale), param.bmBlockRadius);
    /**
     * TODO set this something more than the largest error by the approximate model
     */
    final int searchRadius = param.bmSearchRadius;
    final AbstractModel<?> localSmoothnessFilterModel = mpicbg.trakem2.align.Util.createModel(param.bmLocalModelIndex);
    for (final Triple<AbstractAffineTile2D<?>, AbstractAffineTile2D<?>, InvertibleCoordinateTransform> pair : pairs) {
        final AbstractAffineTile2D<?> t1 = pair.a;
        final AbstractAffineTile2D<?> t2 = pair.b;
        final SpringMesh m1 = tileMeshMap.get(t1);
        final SpringMesh m2 = tileMeshMap.get(t2);
        final ArrayList<PointMatch> pm12 = new ArrayList<PointMatch>();
        final ArrayList<PointMatch> pm21 = new ArrayList<PointMatch>();
        final ArrayList<Vertex> v1 = m1.getVertices();
        final ArrayList<Vertex> v2 = m2.getVertices();
        final String patchName1 = patchName(t1.getPatch());
        final String patchName2 = patchName(t2.getPatch());
        final PatchImage pi1 = t1.getPatch().createTransformedImage();
        if (pi1 == null) {
            Utils.log("Patch `" + patchName1 + "' failed generating a transformed image.  Skipping...");
            continue;
        }
        final PatchImage pi2 = t2.getPatch().createTransformedImage();
        if (pi2 == null) {
            Utils.log("Patch `" + patchName2 + "' failed generating a transformed image.  Skipping...");
            continue;
        }
        final FloatProcessor fp1 = (FloatProcessor) pi1.target.convertToFloat();
        final ByteProcessor mask1 = pi1.getMask();
        final FloatProcessor fpMask1 = mask1 == null ? null : scaleByte(mask1);
        final FloatProcessor fp2 = (FloatProcessor) pi2.target.convertToFloat();
        final ByteProcessor mask2 = pi2.getMask();
        final FloatProcessor fpMask2 = mask2 == null ? null : scaleByte(mask2);
        if (!fixedTiles.contains(t1)) {
            BlockMatching.matchByMaximalPMCC(fp1, fp2, fpMask1, fpMask2, param.bmScale, pair.c, blockRadius, blockRadius, searchRadius, searchRadius, param.bmMinR, param.bmRodR, param.bmMaxCurvatureR, v1, pm12, new ErrorStatistic(1));
            if (param.bmUseLocalSmoothnessFilter) {
                Utils.log("`" + patchName1 + "' > `" + patchName2 + "': found " + pm12.size() + " correspondence candidates.");
                localSmoothnessFilterModel.localSmoothnessFilter(pm12, pm12, param.bmLocalRegionSigma, param.bmMaxLocalEpsilon, param.bmMaxLocalTrust);
                Utils.log("`" + patchName1 + "' > `" + patchName2 + "': " + pm12.size() + " candidates passed local smoothness filter.");
            } else {
                Utils.log("`" + patchName1 + "' > `" + patchName2 + "': found " + pm12.size() + " correspondences.");
            }
        } else {
            Utils.log("Skipping fixed patch `" + patchName1 + "'.");
        }
        if (!fixedTiles.contains(t2)) {
            BlockMatching.matchByMaximalPMCC(fp2, fp1, fpMask2, fpMask1, param.bmScale, pair.c.createInverse(), blockRadius, blockRadius, searchRadius, searchRadius, param.bmMinR, param.bmRodR, param.bmMaxCurvatureR, v2, pm21, new ErrorStatistic(1));
            if (param.bmUseLocalSmoothnessFilter) {
                Utils.log("`" + patchName1 + "' < `" + patchName2 + "': found " + pm21.size() + " correspondence candidates.");
                localSmoothnessFilterModel.localSmoothnessFilter(pm21, pm21, param.bmLocalRegionSigma, param.bmMaxLocalEpsilon, param.bmMaxLocalTrust);
                Utils.log("`" + patchName1 + "' < `" + patchName2 + "': " + pm21.size() + " candidates passed local smoothness filter.");
            } else {
                Utils.log("`" + patchName1 + "' < `" + patchName2 + "': found " + pm21.size() + " correspondences.");
            }
        } else {
            Utils.log("Skipping fixed patch `" + patchName2 + "'.");
        }
        for (final PointMatch pm : pm12) {
            final Vertex p1 = (Vertex) pm.getP1();
            final Vertex p2 = new Vertex(pm.getP2());
            p1.addSpring(p2, new Spring(0, 1.0f));
            m2.addPassiveVertex(p2);
        }
        for (final PointMatch pm : pm21) {
            final Vertex p1 = (Vertex) pm.getP1();
            final Vertex p2 = new Vertex(pm.getP2());
            p1.addSpring(p2, new Spring(0, 1.0f));
            m1.addPassiveVertex(p2);
        }
    }
    /* initialize */
    for (final Map.Entry<AbstractAffineTile2D<?>, SpringMesh> entry : tileMeshMap.entrySet()) entry.getValue().init(entry.getKey().getModel());
    /* optimize the meshes */
    try {
        final long t0 = System.currentTimeMillis();
        IJ.log("Optimizing spring meshes...");
        if (param.useLegacyOptimizer) {
            Utils.log("  ...using legacy optimizer...");
            SpringMesh.optimizeMeshes2(meshes, param.po.maxEpsilon, param.maxIterationsSpringMesh, param.maxPlateauwidthSpringMesh, param.visualize);
        } else {
            SpringMesh.optimizeMeshes(meshes, param.po.maxEpsilon, param.maxIterationsSpringMesh, param.maxPlateauwidthSpringMesh, param.visualize);
        }
        IJ.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;
    }
    /* apply */
    for (final Map.Entry<AbstractAffineTile2D<?>, SpringMesh> entry : tileMeshMap.entrySet()) {
        final AbstractAffineTile2D<?> tile = entry.getKey();
        if (!fixedTiles.contains(tile)) {
            final Patch patch = tile.getPatch();
            final SpringMesh mesh = entry.getValue();
            final Set<PointMatch> matches = mesh.getVA().keySet();
            Rectangle box = patch.getCoordinateTransformBoundingBox();
            /* compensate for existing coordinate transform bounding box */
            for (final PointMatch pm : matches) {
                final Point p1 = pm.getP1();
                final double[] l = p1.getL();
                l[0] += box.x;
                l[1] += box.y;
            }
            final ThinPlateSplineTransform mlt = ElasticLayerAlignment.makeTPS(matches);
            patch.appendCoordinateTransform(mlt);
            box = patch.getCoordinateTransformBoundingBox();
            patch.getAffineTransform().setToTranslation(box.x, box.y);
            patch.updateInDatabase("transform");
            patch.updateBucket();
            patch.updateMipMaps();
        }
    }
    Utils.log("Done.");
}

Example 3 with ThinPlateSplineTransform

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

the class ElasticLayerAlignment method makeTPS.

protected static final ThinPlateSplineTransform makeTPS(final Set<PointMatch> matches) throws Exception {
    final double[][] srcPts = new double[2][matches.size()];
    final double[][] tgtPts = new double[2][matches.size()];
    int i = 0;
    for (final PointMatch match : matches) {
        final double[] srcPt = match.getP1().getL();
        final double[] tgtPt = match.getP2().getW();
        srcPts[0][i] = srcPt[0];
        srcPts[1][i] = srcPt[1];
        tgtPts[0][i] = tgtPt[0];
        tgtPts[1][i] = tgtPt[1];
        ++i;
    }
    final ThinPlateR2LogRSplineKernelTransform tps = new ThinPlateR2LogRSplineKernelTransform(2, srcPts, tgtPts);
    return new ThinPlateSplineTransform(tps);
}