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Real Time pose estimation of a textured object {#tutorial_real_time_pose}
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==============================================
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@tableofcontents
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@prev_tutorial{tutorial_camera_calibration}
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@next_tutorial{tutorial_interactive_calibration}
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| | |
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| -: | :- |
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| Original author | Edgar Riba |
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| Compatibility | OpenCV >= 5.0 |
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Nowadays, augmented reality is one of the top research topic in computer vision and robotics fields.
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The most elemental problem in augmented reality is the estimation of the camera pose respect of an
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object in the case of computer vision area to perform subsequent 3D rendering or, in robotics, to
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obtain an object pose for grasping and manipulation. However, this is not a trivial problem to solve
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due to the fact that the most common issue in image processing is the computational cost of applying
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a lot of algorithms or mathematical operations for solving a problem which is basic and immediately
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for humans.
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Goal
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----
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This tutorial explains how to build a real-time application to estimate the camera pose in
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order to track a textured object with six degrees of freedom given a 2D image and its 3D textured
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model.
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The application will have the following parts:
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- Read 3D textured object model and object mesh.
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- Take input from Camera or Video.
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- Extract ORB features and descriptors from the scene.
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- Match scene descriptors with model descriptors using Flann matcher.
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- Pose estimation using PnP + Ransac.
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- Linear Kalman Filter for bad poses rejection.
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Theory
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------
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In computer vision estimate the camera pose from *n* 3D-to-2D point correspondences is a fundamental
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and well understood problem. The most general version of the problem requires estimating the six
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degrees of freedom of the pose and five calibration parameters: focal length, principal point,
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aspect ratio and skew. It could be established with a minimum of 6 correspondences, using the well
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known Direct Linear Transform (DLT) algorithm. There are, though, several simplifications to the
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problem which turn into an extensive list of different algorithms that improve the accuracy of the
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DLT.
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The most common simplification is to assume known calibration parameters which is the so-called
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Perspective-*n*-Point problem:
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**Problem Formulation:** Given a set of correspondences between 3D points \f$p_i\f$ expressed in a world
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reference frame, and their 2D projections \f$u_i\f$ onto the image, we seek to retrieve the pose (\f$R\f$
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and \f$t\f$) of the camera w.r.t. the world and the focal length \f$f\f$.
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OpenCV provides four different approaches to solve the Perspective-*n*-Point problem which return
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\f$R\f$ and \f$t\f$. Then, using the following formula it's possible to project 3D points into the image
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plane:
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\f[s\ \left [ \begin{matrix} u \\ v \\ 1 \end{matrix} \right ] = \left [ \begin{matrix} f_x & 0 & c_x \\ 0 & f_y & c_y \\ 0 & 0 & 1 \end{matrix} \right ] \left [ \begin{matrix} r_{11} & r_{12} & r_{13} & t_1 \\ r_{21} & r_{22} & r_{23} & t_2 \\ r_{31} & r_{32} & r_{33} & t_3 \end{matrix} \right ] \left [ \begin{matrix} X \\ Y \\ Z\\ 1 \end{matrix} \right ]\f]
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The complete documentation of how to manage with this equations is in @ref _3d "3d".
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Source code
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-----------
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You can find the source code of this tutorial in the
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`samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/` folder of the OpenCV source library.
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The tutorial consists of two main programs:
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-# **Model registration**
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This application is intended for users who do not have a 3D textured model of the object to be detected.
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You can use this program to create your own textured 3D model. This program only works for planar
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objects, then if you want to model an object with complex shape you should use a sophisticated
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software to create it.
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The application needs an input image of the object to be registered and its 3D mesh. We have also
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to provide the intrinsic parameters of the camera with which the input image was taken. All the
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files need to be specified using the absolute path or the relative one from your application’s
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working directory. If no files are specified the program will try to open the provided default
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parameters.
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The application starts up extracting the ORB features and descriptors from the input image and
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then uses the mesh along with the [Möller–Trumbore intersection
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algorithm](http://en.wikipedia.org/wiki/M%C3%B6ller%E2%80%93Trumbore_intersection_algorithm/)
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to compute the 3D coordinates of the found features. Finally, the 3D points and the descriptors
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are stored in different lists in a file with YAML format which each row is a different point. The
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technical background on how to store the files can be found in the @ref tutorial_file_input_output_with_xml_yml
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tutorial.
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-# **Model detection**
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The aim of this application is to estimate in real time the object pose given its 3D textured model.
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The application starts up loading the 3D textured model in YAML file format with the same
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structure explained in the model registration program. From the scene, the ORB features and
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descriptors are detected and extracted. Then, is used @ref cv::FlannBasedMatcher with
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@ref cv::flann::GenericIndex to do the matching between the scene descriptors and the model descriptors.
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Using the found matches along with @ref cv::solvePnPRansac function the `R` and `t` of
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the camera are computed. Finally, a KalmanFilter is applied in order to reject bad poses.
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In the case that you compiled OpenCV with the samples, you can find it in `opencv/build/bin/cpp-tutorial-pnp_detection`.
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Then you can run the application and change some parameters:
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@code{.cpp}
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This program shows how to detect an object given its 3D textured model. You can choose to use a recorded video or the webcam.
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Usage:
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./cpp-tutorial-pnp_detection -help
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Keys:
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'esc' - to quit.
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--------------------------------------------------------------------------
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Usage: cpp-tutorial-pnp_detection [params]
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-c, --confidence (value:0.95)
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RANSAC confidence
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-e, --error (value:2.0)
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RANSAC reprojection error
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-f, --fast (value:true)
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use of robust fast match
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-h, --help (value:true)
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print this message
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--in, --inliers (value:30)
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minimum inliers for Kalman update
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--it, --iterations (value:500)
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RANSAC maximum iterations count
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-k, --keypoints (value:2000)
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number of keypoints to detect
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--mesh
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path to ply mesh
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--method, --pnp (value:0)
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PnP method: (0) ITERATIVE - (1) EPNP - (2) P3P - (3) DLS
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--model
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path to yml model
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-r, --ratio (value:0.7)
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threshold for ratio test
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-v, --video
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path to recorded video
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@endcode
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For example, you can run the application changing the pnp method:
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@code{.cpp}
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./cpp-tutorial-pnp_detection --method=2
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@endcode
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Explanation
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-----------
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Here is explained in detail the code for the real time application:
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-# **Read 3D textured object model and object mesh.**
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In order to load the textured model I implemented the *class* **Model** which has the function
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*load()* that opens a YAML file and take the stored 3D points with its corresponding descriptors.
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You can find an example of a 3D textured model in
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`samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/Data/cookies_ORB.yml`.
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/Model.cpp model_load
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In the main program the model is loaded as follows:
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@code{.cpp}
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Model model; // instantiate Model object
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model.load(yml_read_path); // load a 3D textured object model
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@endcode
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In order to read the model mesh I implemented a *class* **Mesh** which has a function *load()*
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that opens a \f$*\f$.ply file and store the 3D points of the object and also the composed triangles.
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You can find an example of a model mesh in
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`samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/Data/box.ply`.
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/Mesh.cpp mesh_load
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In the main program the mesh is loaded as follows:
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@code{.cpp}
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Mesh mesh; // instantiate Mesh object
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mesh.load(ply_read_path); // load an object mesh
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@endcode
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You can also load different model and mesh:
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@code{.cpp}
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./cpp-tutorial-pnp_detection --mesh=/absolute_path_to_your_mesh.ply --model=/absolute_path_to_your_model.yml
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@endcode
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-# **Take input from Camera or Video**
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To detect is necessary capture video. It's done loading a recorded video by passing the absolute
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path where it is located in your machine. In order to test the application you can find a recorded
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video in `samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/Data/box.mp4`.
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@code{.cpp}
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cv::VideoCapture cap; // instantiate VideoCapture
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cap.open(video_read_path); // open a recorded video
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if(!cap.isOpened()) // check if we succeeded
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{
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std::cout << "Could not open the camera device" << std::endl;
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return -1;
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}
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@endcode
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Then the algorithm is computed frame per frame:
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@code{.cpp}
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cv::Mat frame, frame_vis;
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while(cap.read(frame) && cv::waitKey(30) != 27) // capture frame until ESC is pressed
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{
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frame_vis = frame.clone(); // refresh visualisation frame
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// MAIN ALGORITHM
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}
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@endcode
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You can also load different recorded video:
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@code{.cpp}
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./cpp-tutorial-pnp_detection --video=/absolute_path_to_your_video.mp4
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@endcode
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-# **Extract ORB features and descriptors from the scene**
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The next step is to detect the scene features and extract it descriptors. For this task I
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implemented a *class* **RobustMatcher** which has a function for keypoints detection and features
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extraction. You can find it in
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`samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/RobustMatcher.cpp`. In your
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*RobustMatch* object you can use any of the 2D features detectors of OpenCV. In this case I used
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@ref cv::ORB features because is based on @ref cv::FAST to detect the keypoints and cv::xfeatures2d::BriefDescriptorExtractor
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to extract the descriptors which means that is fast and robust to rotations. You can find more
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detailed information about *ORB* in the documentation.
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The following code is how to instantiate and set the features detector and the descriptors
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extractor:
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp features
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The features and descriptors will be computed by the *RobustMatcher* inside the matching function.
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-# **Match scene descriptors with model descriptors using Flann matcher**
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It is the first step in our detection algorithm. The main idea is to match the scene descriptors
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with our model descriptors in order to know the 3D coordinates of the found features into the
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current scene.
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Firstly, we have to set which matcher we want to use. In this case is used
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@ref cv::FlannBasedMatcher matcher which in terms of computational cost is faster than the
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@ref cv::BFMatcher matcher as we increase the trained collection of features. Then, for
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FlannBased matcher the index created is *Multi-Probe LSH: Efficient Indexing for High-Dimensional
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Similarity Search* due to *ORB* descriptors are binary.
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You can tune the *LSH* and search parameters to improve the matching efficiency:
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@code{.cpp}
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cv::Ptr<cv::flann::IndexParams> indexParams = cv::makePtr<cv::flann::LshIndexParams>(6, 12, 1); // instantiate LSH index parameters
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cv::Ptr<cv::flann::SearchParams> searchParams = cv::makePtr<cv::flann::SearchParams>(50); // instantiate flann search parameters
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cv::DescriptorMatcher * matcher = new cv::FlannBasedMatcher(indexParams, searchParams); // instantiate FlannBased matcher
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rmatcher.setDescriptorMatcher(matcher); // set matcher
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@endcode
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Secondly, we have to call the matcher by using *robustMatch()* or *fastRobustMatch()* function.
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The difference of using this two functions is its computational cost. The first method is slower
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but more robust at filtering good matches because uses two ratio test and a symmetry test. In
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contrast, the second method is faster but less robust because only applies a single ratio test to
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the matches.
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The following code is to get the model 3D points and its descriptors and then call the matcher in
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the main program:
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@code{.cpp}
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// Get the MODEL INFO
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std::vector<cv::Point3f> list_points3d_model = model.get_points3d(); // list with model 3D coordinates
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cv::Mat descriptors_model = model.get_descriptors(); // list with descriptors of each 3D coordinate
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@endcode
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp robust_match_call
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The following code corresponds to the *robustMatch()* function which belongs to the
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*RobustMatcher* class. This function uses the given image to detect the keypoints and extract the
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descriptors, match using *two Nearest Neighbour* the extracted descriptors with the given model
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descriptors and vice versa. Then, a ratio test is applied to the two direction matches in order to
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remove these matches which its distance ratio between the first and second best match is larger
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than a given threshold. Finally, a symmetry test is applied in order to remove non symmetrical
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matches.
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/RobustMatcher.cpp robust_match
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After the matches filtering we have to subtract the 2D and 3D correspondences from the found scene
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keypoints and our 3D model using the obtained *DMatches* vector. For more information about
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@ref cv::DMatch check the documentation.
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp correspondences
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You can also change the ratio test threshold, the number of keypoints to detect as well as use or
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not the robust matcher:
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@code{.cpp}
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./cpp-tutorial-pnp_detection --ratio=0.8 --keypoints=1000 --fast=false
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@endcode
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-# **Pose estimation using PnP + Ransac**
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Once with the 2D and 3D correspondences we have to apply a PnP algorithm in order to estimate the
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camera pose. The reason why we have to use @ref cv::solvePnPRansac instead of @ref cv::solvePnP is
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due to the fact that after the matching not all the found correspondences are correct and, as like
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as not, there are false correspondences or also called *outliers*. The [Random Sample
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Consensus](http://en.wikipedia.org/wiki/RANSAC) or *Ransac* is a non-deterministic iterative
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method which estimate parameters of a mathematical model from observed data producing an
|
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approximate result as the number of iterations increase. After applying *Ransac* all the *outliers*
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will be eliminated to then estimate the camera pose with a certain probability to obtain a good
|
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solution.
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For the camera pose estimation I have implemented a *class* **PnPProblem**. This *class* has 4
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attributes: a given calibration matrix, the rotation matrix, the translation matrix and the
|
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rotation-translation matrix. The intrinsic calibration parameters of the camera which you are
|
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using to estimate the pose are necessary. In order to obtain the parameters you can check
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@ref tutorial_camera_calibration_square_chess and @ref tutorial_camera_calibration tutorials.
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The following code is how to declare the *PnPProblem class* in the main program:
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@code{.cpp}
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// Intrinsic camera parameters: UVC WEBCAM
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double f = 55; // focal length in mm
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double sx = 22.3, sy = 14.9; // sensor size
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double width = 640, height = 480; // image size
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double params_WEBCAM[] = { width*f/sx, // fx
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height*f/sy, // fy
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width/2, // cx
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height/2}; // cy
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PnPProblem pnp_detection(params_WEBCAM); // instantiate PnPProblem class
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@endcode
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The following code is how the *PnPProblem class* initialises its attributes:
|
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|
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@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/PnPProblem.cpp pnp_ctor
|
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OpenCV provides four PnP methods: ITERATIVE, EPNP, P3P and DLS. Depending on the application type,
|
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the estimation method will be different. In the case that we want to make a real time application,
|
||||
the more suitable methods are EPNP and P3P since they are faster than ITERATIVE and DLS at
|
||||
finding an optimal solution. However, EPNP and P3P are not especially robust in front of planar
|
||||
surfaces and sometimes the pose estimation seems to have a mirror effect. Therefore, in this
|
||||
tutorial an ITERATIVE method is used due to the object to be detected has planar surfaces.
|
||||
|
||||
The OpenCV RANSAC implementation wants you to provide three parameters: 1) the maximum number of
|
||||
iterations until the algorithm stops, 2) the maximum allowed distance between the observed and
|
||||
computed point projections to consider it an inlier and 3) the confidence to obtain a good result.
|
||||
You can tune these parameters in order to improve your algorithm performance. Increasing the
|
||||
number of iterations will have a more accurate solution, but will take more time to find a
|
||||
solution. Increasing the reprojection error will reduce the computation time, but your solution
|
||||
will be unaccurate. Decreasing the confidence your algorithm will be faster, but the obtained
|
||||
solution will be unaccurate.
|
||||
|
||||
The following parameters work for this application:
|
||||
@code{.cpp}
|
||||
// RANSAC parameters
|
||||
|
||||
int iterationsCount = 500; // number of Ransac iterations.
|
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float reprojectionError = 2.0; // maximum allowed distance to consider it an inlier.
|
||||
float confidence = 0.95; // RANSAC successful confidence.
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||||
@endcode
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||||
The following code corresponds to the *estimatePoseRANSAC()* function which belongs to the
|
||||
*PnPProblem class*. This function estimates the rotation and translation matrix given a set of
|
||||
2D/3D correspondences, the desired PnP method to use, the output inliers container and the Ransac
|
||||
parameters:
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/PnPProblem.cpp pnp_ransac
|
||||
|
||||
In the following code are the 3rd and 4th steps of the main algorithm. The first, calling the
|
||||
above function and the second taking the output inliers vector from RANSAC to get the 2D scene
|
||||
points for drawing purpose. As seen in the code we must be sure to apply RANSAC if we have
|
||||
matches, in the other case, the function @ref cv::solvePnPRansac throws assert on invalid input
|
||||
(not enough points).
|
||||
@code{.cpp}
|
||||
if(good_matches.size() > 4) // OpenCV requires solvePnPRANSAC to minimally have 4 set of points
|
||||
{
|
||||
|
||||
// -- Step 3: Estimate the pose using RANSAC approach
|
||||
pnp_detection.estimatePoseRANSAC( list_points3d_model_match, list_points2d_scene_match,
|
||||
pnpMethod, inliers_idx, iterationsCount, reprojectionError, confidence );
|
||||
|
||||
|
||||
// -- Step 4: Catch the inliers keypoints to draw
|
||||
for(int inliers_index = 0; inliers_index < inliers_idx.rows; ++inliers_index)
|
||||
{
|
||||
int n = inliers_idx.at<int>(inliers_index); // i-inlier
|
||||
cv::Point2f point2d = list_points2d_scene_match[n]; // i-inlier point 2D
|
||||
list_points2d_inliers.push_back(point2d); // add i-inlier to list
|
||||
}
|
||||
@endcode
|
||||
Finally, once the camera pose has been estimated we can use the \f$R\f$ and \f$t\f$ in order to compute
|
||||
the 2D projection onto the image of a given 3D point expressed in a world reference frame using
|
||||
the showed formula on *Theory*.
|
||||
|
||||
The following code corresponds to the *backproject3DPoint()* function which belongs to the
|
||||
*PnPProblem class*. The function backproject a given 3D point expressed in a world reference frame
|
||||
onto a 2D image:
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/PnPProblem.cpp pnp_backproj
|
||||
|
||||
The above function is used to compute all the 3D points of the object *Mesh* to show the pose of
|
||||
the object.
|
||||
|
||||
You can also change RANSAC parameters and PnP method:
|
||||
@code{.cpp}
|
||||
./cpp-tutorial-pnp_detection --error=0.25 --confidence=0.90 --iterations=250 --method=3
|
||||
@endcode
|
||||
|
||||
-# **Linear Kalman Filter for bad poses rejection**
|
||||
|
||||
Is it common in computer vision or robotics fields that after applying detection or tracking
|
||||
techniques, bad results are obtained due to some sensor errors. In order to avoid these bad
|
||||
detections in this tutorial is explained how to implement a Linear Kalman Filter. The Kalman
|
||||
Filter will be applied after detected a given number of inliers.
|
||||
|
||||
You can find more information about what [Kalman
|
||||
Filter](http://en.wikipedia.org/wiki/Kalman_filter) is. In this tutorial it's used the OpenCV
|
||||
implementation of the @ref cv::KalmanFilter based on
|
||||
[Linear Kalman Filter for position and orientation tracking](http://campar.in.tum.de/Chair/KalmanFilter)
|
||||
to set the dynamics and measurement models.
|
||||
|
||||
Firstly, we have to define our state vector which will have 18 states: the positional data (x,y,z)
|
||||
with its first and second derivatives (velocity and acceleration), then rotation is added in form
|
||||
of three euler angles (roll, pitch, jaw) together with their first and second derivatives (angular
|
||||
velocity and acceleration)
|
||||
|
||||
\f[X = (x,y,z,\dot x,\dot y,\dot z,\ddot x,\ddot y,\ddot z,\psi,\theta,\phi,\dot \psi,\dot \theta,\dot \phi,\ddot \psi,\ddot \theta,\ddot \phi)^T\f]
|
||||
|
||||
Secondly, we have to define the number of measurements which will be 6: from \f$R\f$ and \f$t\f$ we can
|
||||
extract \f$(x,y,z)\f$ and \f$(\psi,\theta,\phi)\f$. In addition, we have to define the number of control
|
||||
actions to apply to the system which in this case will be *zero*. Finally, we have to define the
|
||||
differential time between measurements which in this case is \f$1/T\f$, where *T* is the frame rate of
|
||||
the video.
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp Kalman_init_call
|
||||
|
||||
The following code corresponds to the *Kalman Filter* initialisation. Firstly, is set the process
|
||||
noise, the measurement noise and the error covariance matrix. Secondly, are set the transition
|
||||
matrix which is the dynamic model and finally the measurement matrix, which is the measurement
|
||||
model.
|
||||
|
||||
You can tune the process and measurement noise to improve the *Kalman Filter* performance. As the
|
||||
measurement noise is reduced the faster will converge doing the algorithm sensitive in front of
|
||||
bad measurements.
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp Kalman_init
|
||||
|
||||
In the following code is the 5th step of the main algorithm. When the obtained number of inliers
|
||||
after *Ransac* is over the threshold, the measurements matrix is filled and then the *Kalman
|
||||
Filter* is updated:
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp step_5
|
||||
|
||||
The following code corresponds to the *fillMeasurements()* function which converts the measured
|
||||
[Rotation Matrix to Eulers
|
||||
angles](http://euclideanspace.com/maths/geometry/rotations/conversions/matrixToEuler/index.htm)
|
||||
and fill the measurements matrix along with the measured translation vector:
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp fill_measure
|
||||
|
||||
The following code corresponds to the *updateKalmanFilter()* function which update the Kalman
|
||||
Filter and set the estimated Rotation Matrix and translation vector. The estimated Rotation Matrix
|
||||
comes from the estimated [Euler angles to Rotation
|
||||
Matrix](http://euclideanspace.com/maths/geometry/rotations/conversions/eulerToMatrix/index.htm).
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp Kalman_update
|
||||
|
||||
The 6th step is set the estimated rotation-translation matrix:
|
||||
@code{.cpp}
|
||||
// -- Step 6: Set estimated projection matrix
|
||||
pnp_detection_est.set_P_matrix(rotation_estimated, translation_estimated);
|
||||
@endcode
|
||||
The last and optional step is draw the found pose. To do it I implemented a function to draw all
|
||||
the mesh 3D points and an extra reference axis:
|
||||
|
||||
@snippet samples/cpp/tutorial_code/calib3d/real_time_pose_estimation/src/main_detection.cpp step_x
|
||||
|
||||
You can also modify the minimum inliers to update Kalman Filter:
|
||||
@code{.cpp}
|
||||
./cpp-tutorial-pnp_detection --inliers=20
|
||||
@endcode
|
||||
|
||||
Results
|
||||
-------
|
||||
|
||||
The following videos are the results of pose estimation in real time using the explained detection
|
||||
algorithm using the following parameters:
|
||||
@code{.cpp}
|
||||
// Robust Matcher parameters
|
||||
|
||||
int numKeyPoints = 2000; // number of detected keypoints
|
||||
float ratio = 0.70f; // ratio test
|
||||
bool fast_match = true; // fastRobustMatch() or robustMatch()
|
||||
|
||||
|
||||
// RANSAC parameters
|
||||
|
||||
int iterationsCount = 500; // number of Ransac iterations.
|
||||
int reprojectionError = 2.0; // maximum allowed distance to consider it an inlier.
|
||||
float confidence = 0.95; // ransac successful confidence.
|
||||
|
||||
|
||||
// Kalman Filter parameters
|
||||
|
||||
int minInliersKalman = 30; // Kalman threshold updating
|
||||
@endcode
|
||||
You can watch the real time pose estimation on the [YouTube
|
||||
here](http://www.youtube.com/user/opencvdev/videos).
|
||||
|
||||
@youtube{XNATklaJlSQ}
|
||||
@youtube{YLS9bWek78k}
|
||||
Reference in New Issue
Block a user