Active shape models—their training and application
Computer Vision and Image Understanding
Shape and the information in medical images: a decade of the morphometric synthesis
Computer Vision and Image Understanding
A morphable model for the synthesis of 3D faces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Boundary Finding with Correspondence Using Statistical Shape Models
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Dense Surface Point Distribution Models of the Human Face
MMBIA '01 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA'01)
M-Reps: A New Object Representation for Graphics
M-Reps: A New Object Representation for Graphics
Combining biometric and symbolic models for customised, automated prosthesis design
Artificial Intelligence in Medicine
Bayes Reconstruction of Missing Teeth
Journal of Mathematical Imaging and Vision
Probabilistic Modeling and Visualization of the Flexibility in Morphable Models
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
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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.