Reconstructing Teeth with Bite Information

We propose a method for restoring the surface of a tooth crown so that the pose and anatomical features of the tooth will work well for chewing. The system of teeth has been modeled with a 3D statistical multi-object shape model build from 3D scans of dental cast models. The restoration is carried out using the shape model statistics in a Bayesian framework to calculate the most probable tooth crown shape(s), given the fragments of one or more neighboring and opposing tooth crowns. The modeling of and reconstruction with the multi-object shape model has been realized by extending the model with a concept of elasticity that generalizes better to new teeth. The elasticity has been calculated from the surface curvature relations within and between each tooth sample, simulating a prior knowledge of the shape variation.

[1]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[2]  Stephen M. Pizer,et al.  M-Reps: A New Object Representation for Graphics , 1999 .

[3]  Sanjay Modgil,et al.  Combining biometric and symbolic models for customised, automated prosthesis design , 2002, Artif. Intell. Medicine.

[4]  Lawrence H. Staib,et al.  Boundary finding with correspondence using statistical shape models , 1998, Proceedings. 1998 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (Cat. No.98CB36231).

[5]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods/ J. A. Sethian , 1999 .

[6]  Toyohiko Hayashi,et al.  Semi-automatic design of tooth crown using a 3-D dental CAD system, Vocs-1B , 2000, Proceedings of the 22nd Annual International Conference of the IEEE Engineering in Medicine and Biology Society (Cat. No.00CH37143).

[7]  Thomas Vetter,et al.  Reconstructing the Complete 3D Shape of Faces from Partial Information (Rekonstruktion der dreidimensionalen Form von Gesichtern aus partieller Information) , 2002, Informationstechnik Tech. Inform..

[8]  S. Urke,et al.  Restoration of Teeth by Geometrically Deformable Models , 1997 .

[9]  James F. O'Brien,et al.  Variational Implicit Surfaces , 1999 .

[10]  Fred L. Bookstein,et al.  Shape and the information in medical images: a decade of the morphometric synthesis , 1997, Proceedings of the Workshop on Mathematical Methods in Biomedical Image Analysis.

[11]  Matthew Turk,et al.  A Morphable Model For The Synthesis Of 3D Faces , 1999, SIGGRAPH.

[12]  Timothy F. Cootes,et al.  Statistical models of appearance for computer vision , 1999 .

[13]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .

[14]  Peter Hammond,et al.  Dense surface point distribution models of the human face , 2001, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA 2001).