Abstract
An approach of blending edges and vertices of a polyhedron using NURBS surfaces with C1 continuity along their common boundaries is presented in this paper. The approach presented can unify the transaction of these two cases. Compare with other methods published, first, NURBS surface can represent the blending edge surface precisely;second, when blending the vertex, we depart the blending surfaces of its adjacent edges, so the surfaces don’t need to join with each other, then “supplementary surfaces” are stitched together with C1 contonuity to blend the vertex. We produce the blending surfaces by constructing boundary curve networks with C1 continuity, then according to the continuity rule to gen erate the NURBS surfaces.
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