Multi-resolution Smooth Blending of NURBS Surface and its Application on Complex Product Deformation Design

In order to solve the NURBS surface blending problems in deformation design of complex product,this paper proposed a novel method based on multi-resolution analysis with wavelet base.First,using multi-resolution wavelet analysis,decompose the spline surface into two orthogonal surfaces,in which the low-frequency part represents the smooth surface and high-frequency part means the surface noise.Then,fair the surface according to the feature of surface curvature by multi-level decomposition of the B-spline wavelet base.Finally,filter the noise of the surface with a threshold,and reconstruct the surface.The experimental results demonstrate that the methods in this paper not only can preserve the geometric continuity of the blending surface,but also strengthen the whole fairness of the surface shape.