The construction of transition surface between nonadjacent bicubic T-B spline surfaces

摘要

We get the expression of cubic T-B spline curve. Further more, it derives the expression of bicubic T-B spline surface in tensor product form. Based on the geometric continuous connection theory between surfaces, we construct a transition surface between two nonadjacent bicubic T-B spline surfaces. Then discuss smooth connect conditions between nonadjacent bicubic T-B spline surfaces and transition surface, At last, we calculate the relations among the three control points matrixes in these cases.