cameracv/libs/opencv/modules/imgproc/test/test_intersection.cpp

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// Nghia Ho, nghiaho12@yahoo.com
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#include "test_precomp.hpp"
namespace opencv_test { namespace {
#define ACCURACY 0.00001
// 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 intersection. rectangle side by side, line contact
static void compare(const std::vector<Point2f>& test, const std::vector<Point2f>& target)
{
ASSERT_EQ(test.size(), target.size());
ASSERT_TRUE(test.size() < 4 || isContourConvex(test));
ASSERT_TRUE(target.size() < 4 || isContourConvex(target));
for( size_t i = 0; i < test.size(); i++ )
{
double r = sqrt(normL2Sqr<double>(test[i] - target[i]));
ASSERT_LT(r, ACCURACY);
}
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_1)
{
// no intersection
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 12.0f);
RotatedRect rect2(Point2f(10, 10), Size2f(2, 2), 34.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_NONE);
CV_Assert(vertices.empty());
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_2)
{
// partial intersection, rectangles translated
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(1, 1), Size2f(2, 2), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(1.0f, 0.0f);
targetVertices[1] = Point2f(1.0f, 1.0f);
targetVertices[2] = Point2f(0.0f, 1.0f);
targetVertices[3] = Point2f(0.0f, 0.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_3)
{
// partial intersection, rectangles rotated 45 degree on the corner, forms a triangle intersection
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(1, 1), Size2f(sqrt(2.0f), 20), 45.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(3);
targetVertices[0] = Point2f(1.0f, 0.0f);
targetVertices[1] = Point2f(1.0f, 1.0f);
targetVertices[2] = Point2f(0.0f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_4)
{
// full intersection, rectangles of same size directly on top of each other
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(0, 0), Size2f(2, 2), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_FULL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(-1.0f, 1.0f);
targetVertices[1] = Point2f(-1.0f, -1.0f);
targetVertices[2] = Point2f(1.0f, -1.0f);
targetVertices[3] = Point2f(1.0f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_5)
{
// partial intersection, rectangle on top rotated 45 degrees
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(0, 0), Size2f(2, 2), 45.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(8);
targetVertices[0] = Point2f(-1.0f, -0.414214f);
targetVertices[1] = Point2f(-0.414214f, -1.0f);
targetVertices[2] = Point2f(0.414214f, -1.0f);
targetVertices[3] = Point2f(1.0f, -0.414214f);
targetVertices[4] = Point2f(1.0f, 0.414214f);
targetVertices[5] = Point2f(0.414214f, 1.0f);
targetVertices[6] = Point2f(-0.414214f, 1.0f);
targetVertices[7] = Point2f(-1.0f, 0.414214f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_6)
{
// 6 - partial intersection, rectangle on top of different size
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(0, 0), Size2f(2, 10), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(-1.0f, -1.0f);
targetVertices[1] = Point2f(1.0f, -1.0f);
targetVertices[2] = Point2f(1.0f, 1.0f);
targetVertices[3] = Point2f(-1.0f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_7)
{
// full intersection, rectangle fully enclosed in the other
RotatedRect rect1(Point2f(0, 0), Size2f(12.34f, 56.78f), 0.0f);
RotatedRect rect2(Point2f(0, 0), Size2f(2, 2), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_FULL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(-1.0f, 1.0f);
targetVertices[1] = Point2f(-1.0f, -1.0f);
targetVertices[2] = Point2f(1.0f, -1.0f);
targetVertices[3] = Point2f(1.0f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_8)
{
// intersection by a single vertex
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(2, 2), Size2f(2, 2), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
compare(vertices, vector<Point2f>(1, Point2f(1.0f, 1.0f)));
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_9)
{
// full intersection, rectangle fully enclosed in the other
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(2, 0), Size2f(2, 123.45f), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(2);
targetVertices[0] = Point2f(1.0f, -1.0f);
targetVertices[1] = Point2f(1.0f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_10)
{
// three points of rect2 are inside rect1.
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(0, 0.5), Size2f(1, 1), 45.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(5);
targetVertices[0] = Point2f(0.207107f, 1.0f);
targetVertices[1] = Point2f(-0.207107f, 1.0f);
targetVertices[2] = Point2f(-0.707107f, 0.5f);
targetVertices[3] = Point2f(0.0f, -0.207107f);
targetVertices[4] = Point2f(0.707107f, 0.5f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_11)
{
RotatedRect rect1(Point2f(0, 0), Size2f(4, 2), 0.0f);
RotatedRect rect2(Point2f(0, 0), Size2f(2, 2), -45.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(6);
targetVertices[0] = Point2f(-0.414214f, -1.0f);
targetVertices[1] = Point2f(0.414213f, -1.0f);
targetVertices[2] = Point2f(1.41421f, 0.0f);
targetVertices[3] = Point2f(0.414214f, 1.0f);
targetVertices[4] = Point2f(-0.414213f, 1.0f);
targetVertices[5] = Point2f(-1.41421f, 0.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_12)
{
RotatedRect rect1(Point2f(0, 0), Size2f(2, 2), 0.0f);
RotatedRect rect2(Point2f(0, 1), Size2f(1, 1), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(-0.5f, 1.0f);
targetVertices[1] = Point2f(-0.5f, 0.5f);
targetVertices[2] = Point2f(0.5f, 0.5f);
targetVertices[3] = Point2f(0.5f, 1.0f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_13)
{
RotatedRect rect1(Point2f(0, 0), Size2f(1, 3), 0.0f);
RotatedRect rect2(Point2f(0, 1), Size2f(3, 1), 0.0f);
vector<Point2f> vertices;
int ret = rotatedRectangleIntersection(rect1, rect2, vertices);
CV_Assert(ret == INTERSECT_PARTIAL);
vector<Point2f> targetVertices(4);
targetVertices[0] = Point2f(-0.5f, 0.5f);
targetVertices[1] = Point2f(0.5f, 0.5f);
targetVertices[2] = Point2f(0.5f, 1.5f);
targetVertices[3] = Point2f(-0.5f, 1.5f);
compare(vertices, targetVertices);
}
TEST(Imgproc_RotatedRectangleIntersection, accuracy_14)
{
const int kNumTests = 100;
const float kWidth = 5;
const float kHeight = 5;
RotatedRect rects[2];
std::vector<Point2f> inter;
cv::RNG& rng = cv::theRNG();
for (int i = 0; i < kNumTests; ++i)
{
for (int j = 0; j < 2; ++j)
{
rects[j].center = Point2f(rng.uniform(0.0f, kWidth), rng.uniform(0.0f, kHeight));
rects[j].size = Size2f(rng.uniform(1.0f, kWidth), rng.uniform(1.0f, kHeight));
rects[j].angle = rng.uniform(0.0f, 360.0f);
}
int res = rotatedRectangleIntersection(rects[0], rects[1], inter);
EXPECT_TRUE(res == INTERSECT_NONE || res == INTERSECT_PARTIAL || res == INTERSECT_FULL) << res;
ASSERT_TRUE(inter.size() < 4 || isContourConvex(inter)) << inter;
}
}
TEST(Imgproc_RotatedRectangleIntersection, regression_12221_1)
{
RotatedRect r1(
Point2f(259.65081787109375, 51.58895492553711),
Size2f(5487.8779296875, 233.8921661376953),
-29.488616943359375);
RotatedRect r2(
Point2f(293.70465087890625, 112.10154724121094),
Size2f(5487.8896484375, 234.87368774414062),
-31.27001953125);
std::vector<Point2f> intersections;
int interType = cv::rotatedRectangleIntersection(r1, r2, intersections);
EXPECT_EQ(INTERSECT_PARTIAL, interType);
EXPECT_LE(intersections.size(), (size_t)8);
}
TEST(Imgproc_RotatedRectangleIntersection, regression_12221_2)
{
RotatedRect r1(
Point2f(239.78500366210938, 515.72021484375),
Size2f(70.23420715332031, 39.74684524536133),
-42.86162567138672);
RotatedRect r2(
Point2f(242.4205322265625, 510.1195373535156),
Size2f(66.85948944091797, 61.46455383300781),
-9.840961456298828);
std::vector<Point2f> intersections;
int interType = cv::rotatedRectangleIntersection(r1, r2, intersections);
EXPECT_EQ(INTERSECT_PARTIAL, interType);
EXPECT_LE(intersections.size(), (size_t)8);
}
TEST(Imgproc_RotatedRectangleIntersection, regression_18520)
{
RotatedRect rr_empty(
Point2f(2, 2),
Size2f(0, 0), // empty
0);
RotatedRect rr(
Point2f(50, 50),
Size2f(4, 4),
0);
{
std::vector<Point2f> intersections;
int interType = cv::rotatedRectangleIntersection(rr_empty, rr, intersections);
EXPECT_EQ(INTERSECT_NONE, interType) << "rr_empty, rr";
EXPECT_EQ((size_t)0, intersections.size()) << "rr_empty, rr";
}
{
std::vector<Point2f> intersections;
int interType = cv::rotatedRectangleIntersection(rr, rr_empty, intersections);
EXPECT_EQ(INTERSECT_NONE, interType) << "rr, rr_empty";
EXPECT_EQ((size_t)0, intersections.size()) << "rr, rr_empty";
}
}
TEST(Imgproc_RotatedRectangleIntersection, regression_19824)
{
RotatedRect r1(
Point2f(246805.033f, 4002326.94f),
Size2f(26.40587f, 6.20026f),
-62.10156f);
RotatedRect r2(
Point2f(246805.122f, 4002326.59f),
Size2f(27.4821f, 8.5361f),
-56.33761f);
std::vector<Point2f> intersections;
int interType = cv::rotatedRectangleIntersection(r1, r2, intersections);
EXPECT_EQ(INTERSECT_PARTIAL, interType);
EXPECT_LE(intersections.size(), (size_t)7);
}
}} // namespace