Spatial reconstruction of marker trajectories from high-speed video image sequences

A novel method is presented for the spatial reconstruction of marker trajectories, which describe the motion of articulating segments of the human or animal body or of a technical construction. In human motion analysis, such markers may be attached to landmark points defining the configuration of the subject. A high-speed video-recording system comprising two cameras is used for motion data acquisition. The particular images are composed of the synchronous recordings of both cameras; the resolution of one image is 239 x 192 pixels, which is comparatively low. To obtain high precision, a new centre estimation method has been developed to calculate the image coordinates of the centres of the recorded spherical markers to subpixel precision. Image coordinates of the centres in subsequent frames are obtained by first applying a tracing algorithm, which calculates the position of a marker to pixel precision, and then using the new centre estimation method. The reconstruction of the spatial coordinates from the image coordinates is based on a three-dimensional photogrammetric calibration and results in deviations of about 0.1%. The instantaneous acceleration of a falling ball has been calculated. The average deviation from the gravitational constant was comparatively small. From the accuracy of the results, it can be concluded that the novel method is applicable in connection with the high-speed video-recording system presently used. Moreover, the techniques are suitable for reconstructing three-dimensional marker trajectories from any low-resolution video image sequences recorded simultaneous with at least two cameras.