Introduction to algorithms
Delaunay Triangulation in Three Dimensions
IEEE Computer Graphics and Applications
Curve and surface smoothing without shrinkage
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Robust repair of polygonal models
ACM SIGGRAPH 2004 Papers
A robust hole-filling algorithm for triangular mesh
The Visual Computer: International Journal of Computer Graphics
Repairing and meshing imperfect shapes with Delaunay refinement
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Polynomial blending in a mesh hole-filling application
Computer-Aided Design
An efficient and collision-free hole-filling algorithm for orthodontics
The Visual Computer: International Journal of Computer Graphics
A triangulation-based hole patching method using differential evolution
Computer-Aided Design
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Recent advances in reverse engineering technology have made it possible to acquire accurate point information about model surfaces using 3D laser scanners. However, data capture can be reduced by limitations in the scanner structure or characteristics of the scanned objects, resulting in holes in the triangular mesh model and reducing the model's quality. The current study seeks to fill these holes using software-based calculations and systematic grey prediction, thus preserving the original exterior surface of the reconstructed model. A 3D digital dental model was acquired using a 3D laser scanner, followed by hole detection and surface mending. Due to the simplicity and minimal dataset used in grey theory, a grey prediction system was built to perform prediction-adjustment to preserve the original dental exterior surface.