opencv/modules/3d/test/test_decompose_projection.cpp

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#include "test_precomp.hpp"

namespace opencv_test { namespace {

class CV_DecomposeProjectionMatrixTest : public cvtest::BaseTest
{
public:
    CV_DecomposeProjectionMatrixTest();
protected:
    void run(int);
};

CV_DecomposeProjectionMatrixTest::CV_DecomposeProjectionMatrixTest()
{
    test_case_count = 30;
}


void CV_DecomposeProjectionMatrixTest::run(int start_from)
{

    ts->set_failed_test_info(cvtest::TS::OK);

    cv::RNG& rng = ts->get_rng();
    int progress = 0;


    for (int iter = start_from; iter < test_case_count; ++iter)
    {
        ts->update_context(this, iter, true);
        progress = update_progress(progress, iter, test_case_count, 0);

        // Create the original (and random) camera matrix, rotation, and translation
        cv::Vec2d f, c;
        rng.fill(f, cv::RNG::UNIFORM, 300, 1000);
        rng.fill(c, cv::RNG::UNIFORM, 150, 600);

        double alpha = 0.01*rng.gaussian(1);

        cv::Matx33d origK(f(0), alpha*f(0), c(0),
                          0,          f(1), c(1),
                          0,             0,   1);


        cv::Vec3d rVec;
        rng.fill(rVec, cv::RNG::UNIFORM, -CV_PI, CV_PI);

        cv::Matx33d origR;
        cv::Rodrigues(rVec, origR); // TODO cvtest

        cv::Vec3d origT;
        rng.fill(origT, cv::RNG::NORMAL, 0, 1);


        // Compose the projection matrix
        cv::Matx34d P(3,4);
        hconcat(origK*origR, origK*origT, P);


        // Decompose
        cv::Matx33d K, R;
        cv::Vec4d homogCameraCenter;
        decomposeProjectionMatrix(P, K, R, homogCameraCenter);


        // Recover translation from the camera center
        cv::Vec3d cameraCenter(homogCameraCenter(0), homogCameraCenter(1), homogCameraCenter(2));
        cameraCenter /= homogCameraCenter(3);

        cv::Vec3d t = -R*cameraCenter;


        const double thresh = 1e-6;
        if (cv::norm(origK, K, cv::NORM_INF) > thresh)
        {
            ts->set_failed_test_info(cvtest::TS::FAIL_BAD_ACCURACY);
            break;
        }

        if (cv::norm(origR, R, cv::NORM_INF) > thresh)
        {
            ts->set_failed_test_info(cvtest::TS::FAIL_BAD_ACCURACY);
            break;
        }

        if (cv::norm(origT, t, cv::NORM_INF) > thresh)
        {
            ts->set_failed_test_info(cvtest::TS::FAIL_BAD_ACCURACY);
            break;
        }

    }

}

TEST(Calib3d_DecomposeProjectionMatrix, accuracy)
{
    CV_DecomposeProjectionMatrixTest test;
    test.safe_run();
}

TEST(Calib3d_DecomposeProjectionMatrix, degenerate_cases)
{
    for (int i = 0; i < 3; i++)
    {
        for (int j = 0; j < 2; j++)
        {
            cv::Matx34d P;
            P(0, i) = 1;
            P(1, (i + j + 1) % 3) = 1;
            P(2, (i + 2 * j + 2) % 3) = 1;

            cv::Matx33d K, R;
            cv::Vec4d t;
            decomposeProjectionMatrix(P, K, R, t);
            EXPECT_LT(cv::norm(K * R, P.get_minor<3, 3>(0, 0), cv::NORM_INF), 1e-6);
        }
    }
}

TEST(Calib3d_DecomposeProjectionMatrix, bug_23733)
{
    cv::Matx34d P(52, -7, 4, 12,
                  -6, 49, 12, 8,
                  4, 17, 1, 0);
    P *= 1e-6;

    cv::Matx33d K, R;
    cv::Vec4d t;
    decomposeProjectionMatrix(P, K, R, t);

    EXPECT_LT(cv::norm(R.t() * R - cv::Matx33d::eye(), cv::NORM_INF), 1e-10);

    cv::Matx34d M;
    cv::hconcat(R, -R * cv::Vec3d(t[0] / t[3], t[1] / t[3], t[2] / t[3]), M);

    cv::Matx34d P_recompose = K * M;
    EXPECT_LT(cv::norm(P_recompose - P, cv::NORM_INF), 1e-16);
}

}} // namespace