Abstract

In the present paper, the problem of the generation of an interpolating surface for a given, general polyhedron is studied. The surface must interpolate the set of vertices of the initial polyhedron, and allow a certain shape control. A two-step process based on a topological modification of the polyhedron, and a subsequent biquadratic recursive subdivision is used. It allows the definition of a set of scalar shape handles associated to the initial vertices, that do not affect the interpolatory properties of the surface. Their effect on the quality of the final shape is discussed, and an iterative algorithm for the computation of an optimal set of shape handles is proposed.

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