Modelling and Using Uncertainties in Video Metrology First Year Report

Using vision to measure world distances requires that both measurements and their uncer tainties can be determined and modelled The work described in this report develops the theory of computing distances using only images and an uncertainty analysis which includes both the errors in image localisation and the uncertainty in the imaging transformation We present di erent methods of estimating the geometry of the imaging transformation between world and camera plane using image to world point correspondences A general expression is then derived for the uncertainties in the measurements We mainly focus our attention on computing measures and related uncertainties on world planes and then we extend these results to a complete D reconstruction of the scene While the research presented here is of a general nature a particular application is presented showing how to use the results obtained to build a plane measuring device This device nds its application in several commercial and industrial elds