Mathematical Modeling of Interactions of Primary Geometric 3D Objects

Authors:
G. Scheithauer;Yu. G. Stoyan;T. Ye. Romanova
Affiliations:
Institute of Computational Mathematics, Dresden Technical University, Dresden, Germany;A. N. Podgorny Institute of Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine;A. N. Podgorny Institute of Problems of Mechanical Engineering, National Academy of Sciences of Ukraine, Kharkov, Ukraine
Venue:
Cybernetics and Systems Analysis
Year:
2005

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Abstract

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 驴-functions is used. 驴-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.