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Geometrical resolvability of three-dimensional scenes

Authors: Bozhko A.N. Published: 13.09.2013
Published in issue: #3(92)/2013  
DOI:

 
Category: Informatics & Computing Technology  
Keywords: three-dimensional scene, assembling, deformation retract, ordered set, geometrical access, geometrical resolvability

The formalization of problems on geometrical resolvability of three-dimensional scenes is discussed. This widespread problem facing the specialists in different fields of technology is considered by an example of assembling of technical systems. A theoretically-gaming model is offered which makes it possible to reduce laboriousness of checking the test configurations of details for geometric resolvability. A posteriori data on the element disposition can be used for increasing the efficiency of geometrical analysis of three-dimensional scenes. A depth of the element nesting is an index of difficulty of the geometrical situation. A topological model called the deformation retract can be a carrier of data on the nesting hierarchy.

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