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.

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {8},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2007_8_3_a7/}
}
TY  - JOUR
AU  - A. Yu. Dizhevskii
TI  - A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells
JO  - Numerical methods and programming
PY  - 2007
SP  - 286
EP  - 296
VL  - 8
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMP_2007_8_3_a7/
LA  - ru
ID  - VMP_2007_8_3_a7
ER  - 
%0 Journal Article
%A A. Yu. Dizhevskii
%T A general approach to the implementation of methods for the implicit surface triangulation using space partitioning into cells
%J Numerical methods and programming
%D 2007
%P 286-296
%V 8
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMP_2007_8_3_a7/
%G ru
%F VMP_2007_8_3_a7
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/