Preventing interference between tooth models

1. A method for determining and preventing interference between two or more tooth models to be mounted to a dental arch model, the method comprising:

receiving a digital representation of a dental arch model, wherein the digital representation of the dental arch model comprises one or more receiving features;

receiving digital representations of two or more tooth models, wherein each of the digital representations of two or more tooth models comprises one or more registration features that interface with the one or more receiving features;

digitally mounting the digital representations of the two or more tooth models to the digital representation of the dental arch model in a first configuration;

determining an interference between the digital representations of two or more tooth models when mounted to the digital representation of the dental arch model in the first configuration; and

modifying the first configuration to a second different configuration so as to prevent interference between the digital representations of the two or more tooth models when mounted to the digital representation of the dental arch model by modifying at least one of the one or more registration features of at least one of the digital representations of the two or more tooth models.

2. The method of claim 1 , wherein the digital representations comprise meshes representing surfaces of a physical dental arch model and two or more physical tooth models.

3. The method of claim 2 , wherein determining the interference comprises determining that the meshes representing the surfaces of the two or more physical tooth models intersect at one or more points to form an overlapping portion.

4. The method of claim 3 , further comprising calculating depth of the overlapping portion to quantify the interference between the two or more physical tooth models.

5. The method of claim 1 , wherein modifying the first configuration to the second different configuration comprises adjusting at least one of a position or an orientation of at least one of the digital representations of the two or more digital tooth models when mounted to the digital representation of the dental arch model.

6. The method of claim 1 , wherein modifying the first configuration to the second different configuration comprises modifying at least one of the one or more registration features of at least one of the digital representations of two or more digital tooth models.

7. The method of claim 1 , wherein modifying the first configuration to the second different configuration comprises modifying at least one of the one or more receiving features of the digital representation of the dental arch model.

8. The method of claim 1 , further comprising outputting data for fabricating two or more physical tooth models having the one or more registration features.

9. The method of claim 1 , wherein the one or more receiving features comprise one or more of a pin, a registration slot, a socket, a notch, a protrusion, a hole, an interlocking mechanism, a jig, a pluggable feature, or an attachable feature.

10. The method of claim 1 , wherein the one or more registration features comprise one or more of a pin, a registration slot, a socket, a notch, a protrusion, a hole, an interlocking mechanism, a jig, a pluggable feature, or an attachable feature.

11. The method of claim 1 , wherein the one or more registration features interface with the one or more receiving features to constrain each of the digital representations of two or more tooth models to a respective predetermined position and orientation on the digital representation of the dental arch model.