In one aspect, a method for producing digital models of dental positioning appliances includes providing a digital model of a patient's dentition including teeth; providing a digital model of a veneer covering the patient's teeth; positioning the digital model of the veneer on the digital model of the patient's dentition to produce a combined digital model; and fabricating the dental positioning appliance based on the combined digital model. In another aspect, a dental template includes one or more veneer portions adapted to be secured to teeth; and a removable appliance having one or more veneer portion receiving spaces therein, said removable appliance and the veneer portions adapted to be placed on the teeth.