An approach for the estimation of the precision of a real object from its digitization Original Research Article

In this article, we study the problem of the estimation of the rigid transformations, composed by translations and rotations, of a real object such that the discretizations before and after the transformation are the same. Our method is based on the preimages of the set of lines compatible with each border of a real polygon. We give some algorithms that allow to decide whether a transformation is “valid” for a polygon and to compute the “maximal possible transformations”.