G0 and G1 connection between two adjacent B-spline surfaces

摘要

In this paper,the smooth connection between two B-spline surfaces is discussed.First,a brief proof of some simple sufficient conditions of G^0 and G^1 continuity is given.On this basis,a novel method for G^0 or G^1 connection between two adjacent B-spline surfaces is presented.A reparameterization step is firstly taken for one of the surfaces such that they have the same parameterization in v direction,then,adjust their boundary control vertices to make them G^0 or G^1 connected.The G^1 connection parameter is determined by an optimization problem.Compared with the existed methods,our method is simple and easy to be used in practice.