Research on G¹ Continuity Conditions between B-Spline Surfaces and Construction of Local Scheme

The G¹ continuity conditions between tensor product B-spline surfaces with single interior knots are studied.By means of selecting a special kind of blending functions,we broke the restriction that the common boundary must be a polynomial curve.Then we presented an algorithm to construct a G¹continuous surface of biquartic B-spline surface patches with single interior knots by carrying out local scheme.