Neural network methods for NURBS curve and surface interpolation

摘要

New algorithms based on artificial neural network models are presented for cubic NURBS curve and surface interpolation. When all the knot spans are identical, the NURBS curve interpolation procedure degenerates into that of uniform rational B-spline curves. If all the weights of data points are identical, then the UNRBS curve interpolation procedure degenerates into the integral B-spline curve interpolation.