Mathematical Modeling of Interactions of Primary Geometric 3D Objects
Authors: G. Scheithauer, Yu.G. Stoyan, T. Romanova
Cybernetics and Systems Analysis 41/3 (2005) 332- 342.
To develop efficient approaches to the solution of packing problems, an analytical description of interactions between two arbitrary 3D objects should be modelled in a suitable way. To this end, the concept of Phi-functions is used. Phi-functions are constructed for each pair of the following so-called primary 3D objects that have boundaries: a sphere, a parallelepiped, a cylinder, and a cone.