The invention relates to a method for constructing tooth surfaces of a dental prosthesis and for producing dental restorations, starting from a 3D data record of an upper mandible layout and a 3D data record of a lower mandible layout, each layout comprising a number of teeth arranged in each mandibular arch and the teeth of the upper mandible layout and the teeth of the lower mandible layout at intercuspation making contact with each other at multiple contact points. The contact surfaces are selected by approximation. Relevant surface pairs lying opposite one another are identified and are incorporated by an optimization algorithm into local minimum distances, taking into consideration surfaces that can slide past one another. This allows the desired contact points to be produced. Surfaces that have not been selected are not considered in the production of the points of contact.