Example-based 3D scan completion
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Surface reconstruction using local shape priors
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Bayes Reconstruction of Missing Teeth
Journal of Mathematical Imaging and Vision
Fixing geometric errors on polygonal models: a survey
Journal of Computer Science and Technology
Probabilistic Modeling and Visualization of the Flexibility in Morphable Models
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Learning a generic 3D face model from 2D image databases using incremental Structure-from-Motion
Image and Vision Computing
A novel 3D morphing approach for tooth occlusal surface reconstruction
Computer-Aided Design
MICCAI'05 Proceedings of the 8th international conference on Medical image computing and computer-assisted intervention - Volume Part II
Automatic denoising of 2d color face images using recursive PCA reconstruction
ACIVS'06 Proceedings of the 8th international conference on Advanced Concepts For Intelligent Vision Systems
Driving 3D morphable models using shading cues
Pattern Recognition
Range map superresolution-inpainting, and reconstruction from sparse data
Computer Vision and Image Understanding
3D morphable model parameter estimation
AI'06 Proceedings of the 19th Australian joint conference on Artificial Intelligence: advances in Artificial Intelligence
ACM Transactions on Applied Perception (TAP)
Estimation of 3D faces and illumination from single photographs using a bilinear illumination model
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Reconstructing a whole face image from a partially damaged or occluded image by multiple matching
ICB'07 Proceedings of the 2007 international conference on Advances in Biometrics
Detection, classification and estimation of individual shapes in 2D and 3D point clouds
Computational Statistics & Data Analysis
Effect of facial feature points selection on 3d face shape reconstruction using regularization
ICONIP'12 Proceedings of the 19th international conference on Neural Information Processing - Volume Part V
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
Active shape model based on sparse representation
CCBR'12 Proceedings of the 7th Chinese conference on Biometric Recognition
Model-Based human teeth shape recovery from a single optical image with unknown illumination
MCV'12 Proceedings of the Second international conference on Medical Computer Vision: recognition techniques and applications in medical imaging
3D face sparse reconstruction based on local linear fitting
The Visual Computer: International Journal of Computer Graphics
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General information about a class of objects, such as human faces or teeth, can help to solve the otherwise ill-posed problem of reconstructing a complete surface from sparse 3D feature points or 2D projections of points. We present a technique that uses a vector space representation of shape (3D Morphable Model) to infer missing vertex coordinates. Regularization derived from a statistical approach makes the system stable and robust with respect to noise by computing the optimal tradeoff between fitting quality and plausibility. We present a direct, non-iterative algorithm to calculate this optimum efficiently, and a method for simultaneously compensating unknown rigid transformations. The system is applied and evaluated in two different fields: (1) reconstruction of 3D faces at unknown orientations from 2D feature points at interactive rates, and (2) restoration of missing surface regions of teeth for CAD-CAM production of dental inlays and other medical applications.