/* * #%L * ImageJ software for multidimensional image processing and analysis. * %% * Copyright (C) 2014 - 2020 ImageJ developers. * %% * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * 1. Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDERS OR CONTRIBUTORS BE * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * #L% */ package net.imagej.ops.geom.geom2d; import java.util.ArrayList; import java.util.List; import net.imagej.ops.Contingent; import net.imagej.ops.Ops; import net.imagej.ops.geom.GeomUtils; import net.imagej.ops.special.function.AbstractUnaryFunctionOp; import net.imagej.ops.special.function.Functions; import net.imagej.ops.special.function.UnaryFunctionOp; import net.imglib2.RealLocalizable; import net.imglib2.RealPoint; import net.imglib2.roi.geom.real.DefaultWritablePolygon2D; import net.imglib2.roi.geom.real.Polygon2D; import net.imglib2.type.numeric.real.DoubleType; import org.scijava.plugin.Plugin; /** * Generic implementation of {@code geom.smallestBoundingBox}. * * @author Daniel Seebacher (University of Konstanz) */ @Plugin(type = Ops.Geometric.SmallestEnclosingBoundingBox.class, label = "Geometric (2D): Smallest Enclosing Rectangle") public class DefaultSmallestEnclosingRectangle extends AbstractUnaryFunctionOp<Polygon2D, Polygon2D> implements Contingent, Ops.Geometric.SmallestEnclosingBoundingBox { private UnaryFunctionOp<Polygon2D, Polygon2D> convexHullFunc; private UnaryFunctionOp<Polygon2D, RealLocalizable> centroidFunc; private UnaryFunctionOp<Polygon2D, DoubleType> areaFunc; private UnaryFunctionOp<Polygon2D, Polygon2D> boundingBoxFunc; @Override public void initialize() { convexHullFunc = Functions.unary(ops(), Ops.Geometric.ConvexHull.class, Polygon2D.class, in()); centroidFunc = Functions.unary(ops(), Ops.Geometric.Centroid.class, RealLocalizable.class, in()); areaFunc = Functions.unary(ops(), Ops.Geometric.Size.class, DoubleType.class, in()); boundingBoxFunc = Functions.unary(ops(), Ops.Geometric.BoundingBox.class, Polygon2D.class, in()); } /** * Rotates the given Polygon2D consisting of a list of RealPoints by the * given angle about the given center. * * @param inPoly A Polygon2D consisting of a list of RealPoint RealPoints * @param angle the rotation angle * @param center the rotation center * @return a rotated polygon */ private Polygon2D rotate(final Polygon2D inPoly, final double angle, final RealLocalizable center) { List<RealLocalizable> out = new ArrayList<>(); for (RealLocalizable RealPoint : GeomUtils.vertices(inPoly)) { // double angleInRadians = Math.toRadians(angleInDegrees); double cosTheta = Math.cos(angle); double sinTheta = Math.sin(angle); double x = cosTheta * (RealPoint.getDoublePosition(0) - center .getDoublePosition(0)) - sinTheta * (RealPoint.getDoublePosition(1) - center.getDoublePosition(1)) + center.getDoublePosition(0); double y = sinTheta * (RealPoint.getDoublePosition(0) - center .getDoublePosition(0)) + cosTheta * (RealPoint.getDoublePosition(1) - center.getDoublePosition(1)) + center.getDoublePosition(1); out.add(new RealPoint(x, y)); } return new DefaultWritablePolygon2D(out); } @Override public Polygon2D calculate(final Polygon2D input) { Polygon2D ch = convexHullFunc.calculate(input); RealLocalizable cog = centroidFunc.calculate(ch); Polygon2D minBounds = input; double minArea = Double.POSITIVE_INFINITY; // for each edge (i.e. line from P(i-1) to P(i) for (int i = 1; i < ch.numVertices() - 1; i++) { final double angle = Math.atan2(ch.vertex(i).getDoublePosition(1) - ch .vertex(i - 1).getDoublePosition(1), ch.vertex(i).getDoublePosition(0) - ch.vertex(i - 1).getDoublePosition(0)); // rotate the polygon in such a manner that the line has an angle of 0 final Polygon2D rotatedPoly = rotate(ch, -angle, cog); // get the bounds final Polygon2D bounds = boundingBoxFunc.calculate(rotatedPoly); // calculate the area of the bounds final double area = areaFunc.calculate(bounds).get(); // if the area of the bounds is smaller, rotate it to match the // original polygon and save it. if (area < minArea) { minArea = area; minBounds = rotate(bounds, angle, cog); } } // edge (n-1) to 0 final double angle = Math.atan2(ch.vertex(0).getDoublePosition(1) - ch .vertex(ch.numVertices() - 1).getDoublePosition(1), ch.vertex(0) .getDoublePosition(0) - ch.vertex(ch.numVertices() - 1) .getDoublePosition(0)); // rotate the polygon in such a manner that the line has an angle of 0 final Polygon2D rotatedPoly = rotate(ch, -angle, cog); // get the bounds final Polygon2D bounds = boundingBoxFunc.calculate(rotatedPoly); // calculate the area of the bounds final double area = areaFunc.calculate(bounds).get(); // if the area of the bounds is smaller, rotate it to match the // original polygon and save it. if (area < minArea) { minArea = area; minBounds = rotate(bounds, angle, cog); } return minBounds; } @Override public boolean conforms() { return in() != null; } }