The GCV Method in Optimal B-spline Surface Fairness
【摘要】:This paper presents a GCV method to the problem of reconstructing a free form curve and surface from measurement data.The GCV method provides a data driven fairness parameter which is an important factor in the energy constrained LSQ approximation.The GCV method is better than the experimental LSQ approximation in several aspects:first,it is optimal;second,it is reliable;third,it is faster.Detailed algorithms are presented which calculate the optimal fairness surface to a prescribed error tolerance.