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Your Mats are reallocated when they are filled and camera_params[i] point to another Mat header. You should do something like this:

std::vector<cv::Mat>     camera_params;
std::vector<std::string> camera_params_name = { "K_00", "K_01", "D_00", "D_01", "R", "T"};

for (int i = 0; i < camera_params.size(); i++)
{
    cv::FileStorage fs;
    fs.open(root + camera_params_name[i] + ".yaml", cv::FileStorage::READ);
    Mat tmp;
    fs[camera_params_name[i]] >> tmp;
    camera_params.push_back(tmp);
}

stereoRectify(K_00, cv::Mat(), camera_param[0], ....);

Your Mats are reallocated when they are filled and camera_params[i] point to another Mat header. You should do something like this:

std::vector<cv::Mat>     camera_params;
std::vector<std::string> camera_params_name = { "K_00", "K_01", "D_00", "D_01", "R", "T"};

for (int i = 0; i < camera_params.size(); i++)
{
    cv::FileStorage fs;
    fs.open(root + camera_params_name[i] + ".yaml", cv::FileStorage::READ);
    Mat tmp;
    fs[camera_params_name[i]] >> tmp;
    camera_params.push_back(tmp);
}

stereoRectify(K_00, stereoRectify(camera_param[0], cv::Mat(), camera_param[0], camera_param[1], ....);

Your Mats are reallocated when they are filled and camera_params[i] point to another Mat header. You should do something like this:

std::vector<cv::Mat>     camera_params;
std::vector<std::string> camera_params_name = { "K_00", "K_01", "D_00", "D_01", "R", "T"};

for (int i = 0; i < camera_params.size(); i++)
{
    cv::FileStorage fs;
    fs.open(root + camera_params_name[i] + ".yaml", cv::FileStorage::READ);
    Mat cv::Mat tmp;
    fs[camera_params_name[i]] >> tmp;
    camera_params.push_back(tmp);
}

stereoRectify(camera_param[0], cv::Mat(), camera_param[1], ....);