1. A method for generating an imprint composed of image points on a substrate using a printing device, comprising the steps of: in a control arrangement for a printing device, providing a dot pattern for an imprint comprised of image points represented by said dot pattern; and with said control arrangement, controlling generation of said imprint on a substrate by said printing device by, for at least one of said image points, identifying a probability with which said one of said image points is generated, generating a random output from a random generator and making an electronic decision, based on said random output and said probability, as to whether said one of said image points is or is not generated on said substrate when printing said imprint, and printing said imprint with said printing device with said one of said image points printed or not printed in said imprint dependent on said electronic decision.