Geodesic
A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells
Numerical methods and programming, Tome 8 (2007) no. 3, pp. 286-296 Cet article a éte moissonné depuis la source Math-Net.Ru

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The most popular algorithms for constructing a triangulation of 3D-objects via space partitioning into cubic and tetrahedral cells are considered. А general approach to the triangulation on the basis of space partitioning into arbitrary cells is proposed. As examples, two new methods of triangulation are discussed. These methods use a space division into pyramids and prisms. Some peculiarities of computer implementation of these methods are analyzed. A qualitative comparative analysis of the resulting triangulations is given.
Mots-clés : triangulation, spatial triangulation.
Keywords: case table, space division, marching cubes, marching prisms 
@article{VMP_2007_8_3_a7,
     author = {A. Yu. Dizhevskii},
     title = {A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells},
     journal = {Numerical methods and programming},
     pages = {286--296},
     year = {2007},
     volume = {8},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_3_a7/}
}
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A. Yu. Dizhevskii. A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells. Numerical methods and programming, Tome 8 (2007) no. 3, pp. 286-296. http://geodesic.mathdoc.fr/item/VMP_2007_8_3_a7/