Calibrating Your Camera

In the ARToolKit software, default camera properties are contained in the camera parameter file camera_para.dat, that is read in each time an application is started. These parameters are sufficient for basic tracking for a wide range of different cameras. However, to get best tracking accuracy, particularly when looking directly onto a flat marker, it is important to calibrate your camera. Using a calibrated camera improves tracking accuracy and reduces jitter. In the case of video see-through AR devices (goggles that are not optically see through that usually utilize stereo cameras), having calibrated cameras can help remove lens distortion in the displayed video image.

Beginning calibration with the chessboard

Using a very simple camera calibration technique it is possible to generate a separate parameter file for the specific camera(s) that are being used. This page presents how to use the utility programs included with ARToolKit to calibrate your video camera.

Set-Up

Calibration works by capturing images of the pre-prepared calibration pattern with the camera. Two calibration pattern image files are provided by the ARToolKit SDK (path: [downloaded ARToolKit SDK root directory]/doc/patterns):

"Calibration chessboard (US Letter).pdf"
"Calibration chessboard (A4).pdf"

Print the PDF file using a media size respective to the labeled PDF filename.

Chessboard pattern affixed to board ready for calibration

Once printed, the pattern must be affixed to a flat surface. The easiest means of doing this is to use a piece of thin very flat board (as might be obtained from a hardware store) and a dry glue. Using a millimeter rule, measure the size of the edges of the squares. If printed without scaling, this distance will be exactly 30 mm. Other sizes can be used, as long as they are accurately known.

Finally, set up your camera. A calibration file is only valid for one focus setting of the camera (although it will still work at other focal lengths), so choose in advance the focus setting for the camera which will be used most often. This is especially important when your camera supports multiple aspect ratios. While the resolution need not be 1:1 with your camera calibration, the aspect ratio is extremely important.

How it Works

The "Calibration pattern.pdf" image consists of a grid of black and white squares surrounded by a white border. When viewed through the camera lens, lens distortion causes the straight lines at the edges of the squares to appear curved. The calib_camera program uses the OpenCV library to locate the corners of the squares and then measures the spacing between the corners and uses this information to calculate the lens distortion. The more images captured, and the more angles they are captured from, the lower the error in the distortion measurement.

Executing the calib_camera Application

Open a command prompt:

 Mac OS X or Linux: open a Terminal window  

or

   Windows: open the "Run" prompt from the Start menu, in the "Open:" textbox, type "cmd"


For the Android or iOS version of calib_camera, build and deploy the Android Studio, Eclipse or XCode project available in the respective platform project directory found directly under the root directory of the download ARToolKit SDK specific for the platform.


Run the calib_camera application executable from the command prompt. Change the directory to the path: [downloaded ARToolKit SDK root directory]/bin.

OS X or Linux command-line, type:

    ./calib_camera

Windows command-line, type:

    calib_camera.exe

You will see output similar to this in your terminal:

    CHESSBOARD_CORNER_NUM_X = 7
    CHESSBOARD_CORNER_NUM_Y = 5
    CHESSBOARD_PATTERN_WIDTH = 30.000000
    CALIB_IMAGE_NUM = 10
    Video parameter:
    Using default video config.
    Image size (x,y) = (640,480)

At this point, you should see the image from the camera appear.

Optional - Changing the Default Calibration Pattern Settings

If you need to, the size of the calibration squares, the number of intermediate corners in horizontal and vertical directions (i.e. the number of rows minus 1 and the number of columns minus 1), and the number of calibration images captured can all be adjusted from the command line. Running the utility with the --help option will show the various command-line options for adjusting the default calibration settings.

OS X or Linux command-line, type:

./calib_camera --help

Windows command-line, type:

calib_camera.exe --help

The help text is reproduced here:

Usage: ./calib_camera [options]
Options:
  -vconf <video parameter for the camera>  
  -cornerx=n: specify the number of corners on chessboard in
              X direction.  
  -cornery=n: specify the number of corners on chessboard in
              Y direction.  
  -imagenum=n: specify the number of images captured for calibration.  
  -pattwidth=n: specify the square width in the chessbaord.  
  -h or -help or --help: show this message
Optional - Specifying Options for Video Configuration

In addition to command-line options for controlling the calibration pattern settings, a video configuration can also be specified on the command line using the --vconf parameter (followed by the actual video config, in quotes if it includes spaces), allowing you to choose a video format and/or image size, if your camera supports those options.

For example, this invocation on Mac OS X requests the image from the camera be scaled to 640×480:

./calib_camera --vconf "-width=640 -height=480"

If you use the video configuration to select a video size different from that which will be used later, be sure to maintain the same proportions between the width and the height. For example, a 4:3 image of 1600×1200 pixels can be scaled to 800×600 or 640×480, whereas a 16:9 image of 1920×1080 image can be scaled to 860×540. A camera calibration is only valid per aspect ratio.

Capturing Calibration Images

Calibration requires the capturing of a series of images. In the top-left corner of the capture window is displayed the number of images captured so far. Point the camera at the chessboard grid, and the inner corners of the squares will be highlighted with 'X' marks and numbered.

When the camera can clearly see all the intermediate corners, the 'X' marks turn RED, and a calibration image can be captured: A good view of the calibration board, ready to capture.

If some of the corners are obscured by the edges of the camera frame, or poor lighting or reflection, the 'X' will be GREEN, and no calibration image can be captured until the optical conditions are changed. A poor view of the calibration board, NOT ready to capture.

Once you have an image with all red 'X's, you can press the keyboard spacebar. The spacebar tab captures the video frame augmented with red 'X' characters. The relative positions of the 'X' indicators on the captured frame are calculated, recorded, written to standard out of the command-line window and the capture counter is incremented.

In order to obtain a good calibration for the camera, it is important to obtain images of the calibration board at a variety of angles to the camera lens. The images below give examples of the configurations of the calibration board you should try to obtain. Note that these involve holding the calibration board at different angles relative to the camera, including upside-down: Calibration example OK 1 Calibration example OK 2 Calibration example OK 3 Calibration example OK 4 Calibration example OK 5 Calibration example OK 6

Once all the calibration images have been captured, that is, ten (ten is the default) presses of the spacebar, the calibration data is tabulated and a distortion factor associated to the camera device is calculated. The tabulated calibration data is written to standard out of the command-line window. At this point, the application prompts for a filename to write the calibration data to.

  1. ————————————-

SIZE = 640, 480

Distortion factor: k1=-0.064153, k2=0.000674,  
                   p1=-0.003693, p2=-0.011219,  
                   fx=6819.694824, fy=4906.716797,  
                   x0=-13355.703125, y0=1494.664429,  
                   s=-0.891334  
-7651.11364 -0.00000 -13355.70312 0.00000
-0.00000 -5504.91609 1494.66443 0.00000
0.00000 0.00000 1.00000 0.00000
--------------------------------------
Err[ 1]: 0.384557[pixel]
Err[ 2]: 0.637637[pixel]
Err[ 3]: 0.605374[pixel]
Err[ 4]: 0.517292[pixel]
Err[ 5]: 0.730103[pixel]
Err[ 6]: 0.560028[pixel]
Err[ 7]: 0.586818[pixel]
Err[ 8]: 0.501263[pixel]
Err[ 9]: 0.437201[pixel]
Err[10]: 0.385920[pixel]
Filename[camera_para.dat]:

If the calibration data is good, there should be very low estimated error in each image: hopefully, less than 1 pixel. Error greater than 2 pixels indicates a poor calibration, and it should be abandoned and restarted.

At this point, you can press return or enter on the keyboard to save the data in a file named “camera_para.dat”.

That's all there is to it. This new calibration procedure takes only a minute, and should be fast enough that you can recalibrate your camera any time you change its focus or zoom. With good calibration, you'll see much improved tracking in ARToolKit.

Using the Calibration Data

To use your new calibration file, just replace the default camerapara.dat file in ARToolKit's bin/Data directory with your newly saved data. It can be helpful to keep a collection of camerapara.dat files for cameras you commonly use.

Further Reading - Stereo Camera Calibration

If calibrating a stereo camera, calibrate each eye separately first, saving the parameters, then run the program calib_stereo to perform the final step of Using Stereo Tracking.

Last modified: 2016/02/15 05:41 (external edit)

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