1. A computer-implemented method for automated dental measurements, comprising: acquiring, by the computer, a digital model of a patient's teeth, wherein the digital model includes two-dimensional and three-dimensional digital scan data; automatically establishing, by the computer, a dental reference object in the digital model; automatically establishing, by the computer, a reference frame in the digital model automatically determining, by the computer, an amount of tooth movement using the reference frame; automatically detecting, by the computer, a number of real dental landmarks in the digital model; automatically constructing, by the computer, an abstract dental landmark in the digital model; automatically computing, by the computer, dental measurements based on the dental reference object, the reference frame, the number of real dental landmarks, the abstract dental landmark, and the determined amount of tooth movement; wherein the computed dental measurements include at least one automatically calculated occlusal characteristic of the patient; automatically detecting, by the computer, a malocclusion based on the computed dental measurements; automatically computing, by the computer, an orthodontic index for evaluation of the detected malocclusion based on the computed dental measurements; and storing, by the computer, at least one of the computed orthodontic index and the computed dental measurements.