2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156099After a recollection on compression through a projection onto a polyhedral set (which generalizes the compression by coordinates quantization), we express, in this framework, the probability that an image is coded with $K$ coefficients as an explicit function of the approximation error.Optimization and Control49-02;52B99;41-02text