A water-based ink, produced by mixing pigments, binders and viscosity increasing substances such that they are specially adapted to provide and maintain a high quality print during heat and pressure, that no floating or bleeding of the ink drops should take place and that they are compatible with resins and materials used in the substrate such that no delamination or chemical reactions that affect design or surface properties in a negative way should take place. Additionally, a method to form a digital print with the water-based ink on a dense substrate including a polymer material or on surfaces that are heated and pressed after printing. The surface is, prior to the printing step, preferably heated in order to prevent floating of the water-based ink drops.