Uniform B-Spline Curve and Surface with Shape Parameters

摘要

In this paper, we have studied in depth a new modeling method of the parameter curve and surface—uniform B-spline surface with shape parameters. Based on this model, we have given an example of Free-form curve modeling, and analyzed the effect that different shape parameters have on the change of the shape of the curves. In light of the theory of computer graphics, we developed a Space Free-form Surface Modeling System (SFSMS) on Microsoft Computer. Through the prototype system, we processed with the Free-form surface modeling, gave examples for its application, and discussed how the adjustment of the shape parameters affects the change of the shape of Free-form surface.