Optical tracking systems have a range of applications in biomedical engineering, from gait analysis to image guided surgery. This technology typically uses a pair of cameras which localize markers...

Optical tracking systems have a range of applications in biomedical engineering, from gait analysis to image guided surgery. This technology typically uses a pair of cameras which localize markers attached to the object being tracked. The 3-D location of a marker can be determined from a pair of 2-D image pixel locations using triangulationA company are developing a new optical tracking system and wish to evaluate its tracking accuracy. They have tested the system on ‘phantom’ data (i.e. data acquired from a specially designed test object), and have collected 3-D localization error data. The data consist of errors along the x, y and z axes for 50 separate tests, where the x/y axes are parallel to the image plane of one of the cameras, and the z axis is the direction of the same camera.These error data are available in the file optical_tracking.mat. Write a MATLAB script to produce a 3-D plot of the x, y and z errors, to enable visualization of the directional dependency of the errors. What do you observe? Can you offer an explanation?