Filling gaps in the boundary of a polyhedron
Computer Aided Geometric Design
Triangular B-splines for blending and filling of polygonal holes
GI '96 Proceedings of the conference on Graphics interface '96
Simplification and Repair of Polygonal Models Using Volumetric Techniques
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A novel cubic-order algorithm for approximating principal direction vectors
ACM Transactions on Graphics (TOG)
An intuitive framework for real-time freeform modeling
ACM SIGGRAPH 2004 Papers
The Visual Computer: International Journal of Computer Graphics
Unconstrained isosurface extraction on arbitrary octrees
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
An algorithm for filling complex holes in reverse engineering
Engineering with Computers
An efficient and collision-free hole-filling algorithm for orthodontics
The Visual Computer: International Journal of Computer Graphics
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An integrated single-tooth modeling scheme is proposed for the 3D dental model acquired by optical digitizers. The cores of the modeling scheme are fusion regions extraction, single tooth shape restoration, and single tooth separation. According to the "valley" shape-like characters of the fusion regions between two adjoining teeth, the regions of the 3D dental model are analyzed and classified based on the minimum curvatures of the surface. The single tooth shape is restored according to the bioinformation along the hole boundary, which is generated after the fusion region being removed. By using the extracted boundary from the blending regions between the teeth and soft tissues as reference, the teeth can be separated from the 3D dental model one by one correctly. Experimental results show that the proposed method can achieve satisfying modeling results with high-degree approximation of the real tooth and meet the requirements of clinical oral medicine.