G~1 continuous conditions of biquartic B-spline surfaces

摘要

The necessary and sufficient conditions of G~1 continuity between two biquartic B-spline patches with single interior knots are obtained, and the intrinsic conditions of the common boundary control points are also presented. Further, some remarkable difference on the conditions for G~1 continuity of two adjacent Bezier patches and those of two adjacent B-spline patches are studied. As a result, the construction of local scheme by using biquartic B-spline surfaces with the single interior knots does not exist.