MBUYI KALUBI Charles1*, MUSESA LANDA Alain1

On Affine transformations in continuous and in discrete spaces

A quasi-affine application, being the integer part of a rational affine application, is the discretized form of an affine application. This article is dedicated to the study of conservation of same properties of affine applications (Preservation of barycenter, preservation of distance, existence of a fixed point) by quasi-affine applications. The quasi-affine applications studied are discrete translations, discrete homotheties as well as discrete rotations. Télécharger l'article