This heating system is a contact heating system, consisting of ceramic heating elements, with which very precise temperature profiles may be applied to the polymer film as desired. The controls built into the heating module allow a control accuracy of +/-1 Kelvin. The thermoforming process with regard to distribution of material can be applied so specifically that an optimal wall thickness distribution can be achieved. By being able to have a lower initial material thickness, up to 30% of packaging material can be saved without compromising the barrier or the compression strength. The process saves on the complete pre-stretching device and the energy efficiency gain can also be around 30%, depending on the degree of deformation needed.