Constructing 3-D discrete medial axis

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Abstract
In solid modeling, each represent~ tion scheme is suitable for some operations and applications. Some modeling systems work on two or more different representation schemes in order to perform every operation in the most suitable scheme. The problem of conversion between different representation schemes arises. There exists another option for a solid modeling system, however, That is to use one representation, say boundary representation, and create an associated structure which can remedy the weakness of the representation. This is the motivation of the work presented in this paper: we propose the medial axis of the object to associate with its B~ep to improve the applicability of solid modeler and reduce the computation complexity of certain algorithms.

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