Adaptive method for 2.5D scattered point approximation

Abstract

In this study, we propose a method for approximating 2.5D scattered points by a B-spline surface. The method generates a B-spline surface for approximation defined by control points that are determined by directly reflecting the errors between the surface and input points. It adaptively refines the control points for efficient error reduction. Examples given in our study show that the proposed method performs better than the existing multilevel B-spline approximation method.