Piecewise linear approximation of a non-convex set by a polyhedron
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 878-888
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The piecewise linear approximation of a non-convex simply connected set by a polyhedron is described, and the geometrical characteristics of the polyhedron are constructed, namely, the matrices of intersections of the faces by the non-local continuations of the support faces, and the sets of pairs of non-locally adjacent support faces. The relevant data blocks are constructed in the computer memory, and rules are given for their subsequent modification as the approximating polyhedron is successively refined.
@article{ZVMMF_1979_19_4_a8,
author = {A. I. Samylovskii and B. G. Sushkov},
title = {Piecewise linear approximation of~a~non-convex set by~a~polyhedron},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {878--888},
publisher = {mathdoc},
volume = {19},
number = {4},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a8/}
}
TY - JOUR AU - A. I. Samylovskii AU - B. G. Sushkov TI - Piecewise linear approximation of a non-convex set by a polyhedron JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 878 EP - 888 VL - 19 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a8/ LA - ru ID - ZVMMF_1979_19_4_a8 ER -
%0 Journal Article %A A. I. Samylovskii %A B. G. Sushkov %T Piecewise linear approximation of a non-convex set by a polyhedron %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 878-888 %V 19 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a8/ %G ru %F ZVMMF_1979_19_4_a8
A. I. Samylovskii; B. G. Sushkov. Piecewise linear approximation of a non-convex set by a polyhedron. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 4, pp. 878-888. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_4_a8/