Direct generation method of NURBS boundary surface

Abstract

Because of the complexity of Non-Uniform Rational B-splines (NURBS) surface, the conventional NURBS surface generation method usually first constructs a Coons surface and then changes it into NURBS surface, which adds the operation complexity. To address this problem, an NURBS boundary surface direct generation method was proposed, which can directly construct a NURBS boundary surface by using four NURBS boundary curves. Compared with the traditional method,it need not convert Coons surface to NURBS surface and have a low computing cost. The experiments show the proposed method is simple and convenient, but the generated surface still has a high quality and good continuity.