A Quadratic-Programming Method for Removing Shape-Failures form Tensor-product B-Spline Surfaces

摘要

We first study the effect caused, on the local shape of a tensor-product B-spline surface, by the move- ment of a subset of its control net. We then propose two (2) discrete approaches for removing shape failures from such surfaces, without altering them more than is needed. The second approach is a simple Quadratic-programming method, that is suitable for restoring the shape of almost shape-preserving Tensor-product B-spline surfaces. The performance of this method is tested and discussed for three Industrial surfaces.