Digitization constraints that preserve topology and geometry

Our definition of a digitization approximates many real digitization processes. We present conditions which guarantee that a digitization process preserves topology of a digitized object. Moreover, these conditions guarantee the invariance of convexity features of the object contour. A useful consequence of this result is the computation of a digitization resolution and a camera distance from a planar object such that topology and geometry of an object are preserved under projection and digitization. Knowing that topological properties are invariant under digitization, we can then use them in feature-based recognition