--- /dev/null
+/*M///////////////////////////////////////////////////////////////////////////////////////
+//
+// IMPORTANT: READ BEFORE DOWNLOADING, COPYING, INSTALLING OR USING.
+//
+// By downloading, copying, installing or using the software you agree to this license.
+// If you do not agree to this license, do not download, install,
+// copy or use the software.
+//
+//
+// License Agreement
+// For Open Source Computer Vision Library
+//
+// Copyright (C) 2000-2008, Intel Corporation, all rights reserved.
+// Copyright (C) 2008-2011, Willow Garage Inc., all rights reserved.
+// Third party copyrights are property of their respective owners.
+//
+// @Authors
+// Nghia Ho, nghiaho12@yahoo.com
+//
+// Redistribution and use in source and binary forms, with or without modification,
+// are permitted provided that the following conditions are met:
+//
+// * Redistribution's of source code must retain the above copyright notice,
+// this list of conditions and the following disclaimer.
+//
+// * Redistribution's 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.
+//
+// * The name of OpenCV Foundation may not be used to endorse or promote products
+// derived from this software without specific prior written permission.
+//
+// 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 OpenCV Foundation 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.
+//
+//M*/
+
+#include "test_precomp.hpp"
+
+using namespace cv;
+using namespace std;
+
+#define ACCURACY 0.00001
+
+class CV_RotatedRectangleIntersectionTest: public cvtest::ArrayTest
+{
+public:
+
+protected:
+ void run (int);
+
+private:
+ void test1();
+ void test2();
+ void test3();
+ void test4();
+ void test5();
+ void test6();
+ void test7();
+ void test8();
+ void test9();
+};
+
+void CV_RotatedRectangleIntersectionTest::run(int)
+{
+ // See pics/intersection.png for the scenarios we are testing
+
+ // Test the following scenarios:
+ // 1 - no intersection
+ // 2 - partial intersection, rectangle translated
+ // 3 - partial intersection, rectangle rotated 45 degree on the corner, forms a triangle intersection
+ // 4 - full intersection, rectangles of same size directly on top of each other
+ // 5 - partial intersection, rectangle on top rotated 45 degrees
+ // 6 - partial intersection, rectangle on top of different size
+ // 7 - full intersection, rectangle fully enclosed in the other
+ // 8 - partial intersection, rectangle corner just touching. point contact
+ // 9 - partial intersetion. rectangle side by side, line contact
+
+ test1();
+ test2();
+ test3();
+ test4();
+ test5();
+ test6();
+ test7();
+ test8();
+ test9();
+}
+
+void CV_RotatedRectangleIntersectionTest::test1()
+{
+ // no intersection
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 12.0f;
+
+ rect2.center.x = 10;
+ rect2.center.y = 10;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 34.0f;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_NONE);
+ CV_Assert(vertices.empty());
+}
+
+void CV_RotatedRectangleIntersectionTest::test2()
+{
+ // partial intersection, rectangles translated
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 1;
+ rect2.center.y = 1;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 4);
+
+ vector<Point2f> possibleVertices(4);
+
+ possibleVertices[0] = Point2f(0.0f, 0.0f);
+ possibleVertices[1] = Point2f(1.0f, 1.0f);
+ possibleVertices[2] = Point2f(0.0f, 1.0f);
+ possibleVertices[3] = Point2f(1.0f, 0.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test3()
+{
+ // partial intersection, rectangles rotated 45 degree on the corner, forms a triangle intersection
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 1;
+ rect2.center.y = 1;
+ rect2.size.width = sqrt(2.0f);
+ rect2.size.height = 20;
+ rect2.angle = 45.0f;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 3);
+
+ vector<Point2f> possibleVertices(3);
+
+ possibleVertices[0] = Point2f(1.0f, 1.0f);
+ possibleVertices[1] = Point2f(0.0f, 1.0f);
+ possibleVertices[2] = Point2f(1.0f, 0.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test4()
+{
+ // full intersection, rectangles of same size directly on top of each other
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 0;
+ rect2.center.y = 0;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_FULL);
+ CV_Assert(vertices.size() == 4);
+
+ vector<Point2f> possibleVertices(4);
+
+ possibleVertices[0] = Point2f(-1.0f, 1.0f);
+ possibleVertices[1] = Point2f(1.0f, -1.0f);
+ possibleVertices[2] = Point2f(-1.0f, -1.0f);
+ possibleVertices[3] = Point2f(1.0f, 1.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test5()
+{
+ // partial intersection, rectangle on top rotated 45 degrees
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 0;
+ rect2.center.y = 0;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 45.0f;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 8);
+
+ vector<Point2f> possibleVertices(8);
+
+ possibleVertices[0] = Point2f(-1.0f, -0.414214f);
+ possibleVertices[1] = Point2f(-1.0f, 0.414214f);
+ possibleVertices[2] = Point2f(-0.414214f, -1.0f);
+ possibleVertices[3] = Point2f(0.414214f, -1.0f);
+ possibleVertices[4] = Point2f(1.0f, -0.414214f);
+ possibleVertices[5] = Point2f(1.0f, 0.414214f);
+ possibleVertices[6] = Point2f(0.414214f, 1.0f);
+ possibleVertices[7] = Point2f(-0.414214f, 1.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test6()
+{
+ // 6 - partial intersection, rectangle on top of different size
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 0;
+ rect2.center.y = 0;
+ rect2.size.width = 2;
+ rect2.size.height = 10;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 4);
+
+ vector<Point2f> possibleVertices(4);
+
+ possibleVertices[0] = Point2f(1.0f, 1.0f);
+ possibleVertices[1] = Point2f(1.0f, -1.0f);
+ possibleVertices[2] = Point2f(-1.0f, -1.0f);
+ possibleVertices[3] = Point2f(-1.0f, 1.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test7()
+{
+ // full intersection, rectangle fully enclosed in the other
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 12.34;
+ rect1.size.height = 56.78;
+ rect1.angle = 0;
+
+ rect2.center.x = 0;
+ rect2.center.y = 0;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_FULL);
+ CV_Assert(vertices.size() == 4);
+
+ vector<Point2f> possibleVertices(4);
+
+ possibleVertices[0] = Point2f(1.0f, 1.0f);
+ possibleVertices[1] = Point2f(1.0f, -1.0f);
+ possibleVertices[2] = Point2f(-1.0f, -1.0f);
+ possibleVertices[3] = Point2f(-1.0f, 1.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+void CV_RotatedRectangleIntersectionTest::test8()
+{
+ // full intersection, rectangle fully enclosed in the other
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 2;
+ rect2.center.y = 2;
+ rect2.size.width = 2;
+ rect2.size.height = 2;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 1);
+
+ double dx = vertices[0].x - 1;
+ double dy = vertices[0].y - 1;
+ double r = sqrt(dx*dx + dy*dy);
+
+ CV_Assert(r < ACCURACY);
+}
+
+void CV_RotatedRectangleIntersectionTest::test9()
+{
+ // full intersection, rectangle fully enclosed in the other
+
+ RotatedRect rect1, rect2;
+
+ rect1.center.x = 0;
+ rect1.center.y = 0;
+ rect1.size.width = 2;
+ rect1.size.height = 2;
+ rect1.angle = 0;
+
+ rect2.center.x = 2;
+ rect2.center.y = 0;
+ rect2.size.width = 2;
+ rect2.size.height = 123.45;
+ rect2.angle = 0;
+
+ vector<Point2f> vertices;
+
+ int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
+
+ CV_Assert(ret == INTERSECT_PARTIAL);
+ CV_Assert(vertices.size() == 2);
+
+ vector<Point2f> possibleVertices(2);
+
+ possibleVertices[0] = Point2f(1.0f, 1.0f);
+ possibleVertices[1] = Point2f(1.0f, -1.0f);
+
+ for( size_t i = 0; i < vertices.size(); i++ )
+ {
+ double bestR = DBL_MAX;
+
+ for( size_t j = 0; j < possibleVertices.size(); j++ )
+ {
+ double dx = vertices[i].x - possibleVertices[j].x;
+ double dy = vertices[i].y - possibleVertices[j].y;
+ double r = sqrt(dx*dx + dy*dy);
+
+ bestR = std::min(bestR, r);
+ }
+
+ CV_Assert(bestR < ACCURACY);
+ }
+}
+
+TEST (Imgproc_RotatedRectangleIntersection, accuracy) { CV_RotatedRectangleIntersectionTest test; test.safe_run(); }