A Quadratic-Programming Method for Removing Shape-Failures from Tensor-Product B-Spline Surfaces

We first study the effect caused, on the local shape of a tensor-product B-spline surface, by the movement 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.