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; 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; and for a second of said image points, identifying a second probability with said control arrangement with which said second of said image points is generated on said substrate, generating a second random output and making a further electronic decision as to whether said second of said image points is or is not generated in said imprint based on said second probability and said second random output, and printing said imprint on said substrate with said printing device with said second of said image points being generated or not generated in said imprint dependent on said further electronic decision.