Construction of a Φ-function for two convex polytopes

Y. Stoyan, et al. "Construction of a Φ-function for two convex polytopes." Applicationes Mathematicae 29.2 (2002): 199-218. <http://eudml.org/doc/278987>.

@article{Y2002,
abstract = {The analytical description of Φ-functions for two convex polytopes is investigated. These Φ-functions can be used for mathematical modelling of packing problems in the three-dimensional space. Only translations of the polytopes are considered. The approach consists of two stages. First the 0-level surface of a Φ-function is constructed, and secondly, the surface is extended to get the Φ-function. The method for constructing the 0-level surface is described in detail.},
author = {Y. Stoyan, J. Terno, M. Gil, T. Romanova, G. Scheithauer},
journal = {Applicationes Mathematicae},
keywords = {-function; cutting and packing; convex polytope},
language = {eng},
number = {2},
pages = {199-218},
title = {Construction of a Φ-function for two convex polytopes},
url = {http://eudml.org/doc/278987},
volume = {29},
year = {2002},
}

TY - JOUR
AU - Y. Stoyan
AU - J. Terno
AU - M. Gil
AU - T. Romanova
AU - G. Scheithauer
TI - Construction of a Φ-function for two convex polytopes
JO - Applicationes Mathematicae
PY - 2002
VL - 29
IS - 2
SP - 199
EP - 218
AB - The analytical description of Φ-functions for two convex polytopes is investigated. These Φ-functions can be used for mathematical modelling of packing problems in the three-dimensional space. Only translations of the polytopes are considered. The approach consists of two stages. First the 0-level surface of a Φ-function is constructed, and secondly, the surface is extended to get the Φ-function. The method for constructing the 0-level surface is described in detail.
LA - eng
KW - -function; cutting and packing; convex polytope
UR - http://eudml.org/doc/278987
ER -