关键词: B样条曲面, 双向插值, 节点插入, 曲面蒙皮

Abstract: A bidirectional interpolation modeling algorithm for a B-spline surface is discussed based on Coons-Gordon principle, which makes the final surface interpolates two families of intersected section sample points. Parameters of all samples and knot vector of each section are calculated. The parameter of each section line on the interpolation surface is evaluated. A unified knot vector is deduced according to the knots of section lines in the same family and surface parameters for the section lines in the other family. Three B-spline surfaces are obtained by interpolating the two families of section lines and their common points respectively, the Boolean sum of which is the desired interpolation surface. Examples indicate that the bidirectional interpolation surface has fewer control points and perfect fairness.

Key words: B-spline surfaces, bidirectional interpolation, knots insertion, surface skinning