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// Nghia Ho, nghiaho12@yahoo.com
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#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 = 12.34f;
rect1.size.height = 56.78f;
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 = 123.45f;
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(); }