A Comparison of Three Geometric Self-Calibration Methods for Range Cameras

Significant instrumental systematic errors are known to exist in data captured with range cameras using lock-in pixel technology. Because they are independent of the imaged object scene structure, these errors can be rigorously estimated in a self-calibrating bundle adjustment procedure. This paper presents a review and a quantitative comparison of three methods for range camera self-calibration in order to determine which, if any, is superior. Two different SwissRanger range cameras have been calibrated using each method. Though differences of up to 2 mm (in object space) in both the observation precision and accuracy measures exist between the methods, they are of little practical consequence when compared to the magnitude of these measures (12 mm to 18 mm). One of the methods was found to underestimate the principal distance but overestimate the rangefinder offset in comparison to the other two methods whose estimates agreed more closely. Strong correlations among the rangefinder offset, periodic error terms and the camera position co-ordinates are indentified and their cause explained in terms of network geometry and observation range.

[1]  Gerd Hirzinger,et al.  Extrinsic and depth calibration of ToF-cameras , 2008, 2008 IEEE Conference on Computer Vision and Pattern Recognition.

[2]  J. M. Rueger,et al.  Electronic Distance Measurement: An Introduction , 1990 .

[3]  Derek D. Lichti,et al.  Propagation of an Unmodeled Additive Constant in Range Sensor Observations , 2010 .

[4]  Bernd Jähne,et al.  A theoretical and experimental investigation of the systematic errors and statistical uncertainties of Time-Of-Flight-cameras , 2008, Int. J. Intell. Syst. Technol. Appl..

[5]  Scott Robbins,et al.  Photogrammetric calibration and colorization of the SwissRanger SR-3100 3-D range imaging sensor , 2009 .

[6]  R. Lange,et al.  Solid-state time-of-flight range camera , 2001 .

[7]  T. Kahlmann,et al.  Calibration and development for increased accuracy of 3D range imaging cameras , 2008 .

[8]  W. Karel,et al.  QUANTIFYING THE DISTORTION OF DISTANCE OBSERVATIONS CAUSED BY SCATTERING IN TIME-OF-FLIGHT RANGE CAMERAS , 2010 .

[9]  Norbert Pfeifer,et al.  Range calibration for terrestrial laser scanners and range cameras , 2009, Optical Engineering + Applications.

[10]  D. Lichti,et al.  An integrated bundle adjustment approach to range camera geometric self-calibration , 2010 .

[11]  D. Lichti,et al.  MODELLING SCATTERING DISTORTION IN 3D RANGE CAMERA , 2010 .

[12]  W. Christian.  INTEGRATED RANGE CAMERA CALIBRATION USING IMAGE SEQUENCES FROM HAND-HELD OPERATION , 2008 .

[13]  Clive S. Fraser.  Photogrammetric Camera Component Calibration: A Review of Analytical Techniques , 2001 .

[14]  Jan Boehm,et al.  Accuracy of exterior orientation for a range camera , 2010 .

[15]  Filiberto Chiabrando,et al.  Sensors for 3D Imaging: Metric Evaluation and Calibration of a CCD/CMOS Time-of-Flight Camera , 2009, Sensors.

[16]  Reinhard Koch,et al.  Time-of-Flight sensor calibration for accurate range sensing , 2010, Comput. Vis. Image Underst..