Abstract
Surfaces can be generated easily by subdividing polyhedral networks recursively, but over simple or rough polyhedral network, it is difficult to get the surfaces which designers want to model. To solve this problem, complex or precise polyhedral networks have to be defined. In this paper, a set of rules and an automatic adaptive algorithm for making fillet operations with Loop subdivision are presented. The fillet operations are implemented by subdividing a polyhedral network one step with the given sharpness of edges of the polyhedral network. Generally, the number of edges that meet at one vertex is no restriction and the sharpness of every edge can be different. The fillet operations proposed here will strengthen the functions of Computer Graphics system which use subdivision surfaces to model surfaces.
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