Parametric discretization of supercover simplex

Abstract

Within the framework of the development of a software which aims at unifying geometrical modelisation and image processing, based on both analytical and voxels representation of objects, we wish to extend this to parametrical objects. We focus, in this paper, on the study of parametrical simplexes and their relation with the discrete supercover model. Besides, we obtain a simple and incremental algorithm to run over nD discrete objects. This is also the basis of parametrical curves and surfaces studies.