Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron
Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2013), pp. 27-31 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The article discusses problem of finding the polyhedrons given shape inside another polyhedrons. It is proposed method for finding the inscribed polyhedrons, based on the reduction of the problem to a nonlinear programming problem and its solutions with ready-made software resources. Also it is proposed possible optimizations to speed up the algorithm.
Keywords: convex polyhedrons, combinatorial structure, inscribed polyhedron, nonlinear programming problems, solver.
@article{ITVS_2013_3_a2,
     author = {D. S. Kokorev},
     title = {Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron},
     journal = {Informacionnye tehnologii i vy\v{c}islitelnye sistemy},
     pages = {27--31},
     year = {2013},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ITVS_2013_3_a2/}
}
TY  - JOUR
AU  - D. S. Kokorev
TI  - Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron
JO  - Informacionnye tehnologii i vyčislitelnye sistemy
PY  - 2013
SP  - 27
EP  - 31
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ITVS_2013_3_a2/
LA  - ru
ID  - ITVS_2013_3_a2
ER  - 
%0 Journal Article
%A D. S. Kokorev
%T Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron
%J Informacionnye tehnologii i vyčislitelnye sistemy
%D 2013
%P 27-31
%N 3
%U http://geodesic.mathdoc.fr/item/ITVS_2013_3_a2/
%G ru
%F ITVS_2013_3_a2
D. S. Kokorev. Algorithm to find a convex polyhedron with maximum size inscribed in other polyhedron. Informacionnye tehnologii i vyčislitelnye sistemy, no. 3 (2013), pp. 27-31. http://geodesic.mathdoc.fr/item/ITVS_2013_3_a2/