In this paper, we first introduce the notion of texture precision given the 3d geometry of a scene. We then provide an algorithm to acquire a texture/color map of the scene within a given precision. The texture map is obtained using projective devices (like pinhole sensing device) from data acquired either in the real world or computer-synthesized. Finally, we describe a procedure to obtain level of precisions by combining a modified edge-collapse geometry technique with an appropriate remapping texture engine. We report on our experiments and give perspectives for further research.