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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-6,
author = {Y. Stoyan and J. Terno and M. Gil and T. Romanova and G. Scheithauer},
title = {Construction of a $\Phi$-function for two convex polytopes},
journal = {Applicationes Mathematicae},
volume = {29},
year = {2002},
pages = {199-218},
zbl = {1053.90009},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-6}
}
Y. Stoyan; J. Terno; M. Gil; T. Romanova; G. Scheithauer. Construction of a Φ-function for two convex polytopes. Applicationes Mathematicae, Tome 29 (2002) pp. 199-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-am29-2-6/