A point projection approach for improving the accuracy of the multilevel B-spline approximation

Abstract

In this study, we present a method for improving the accuracy of the multilevel B-spline approximation (MBA) method. We combine a point projection method with the MBA method for reducing the approx-imation error by directly adjusting the control points in the local area. An initial surface is generated by the MBA method, and grid points are produced on the surface. These grid points are projected onto the scattered point set, and the distances between the grid points and the projected points are computed. The control points are then modified based on the distances. The proposed method shows better approxima-tions even with the same number of control points and ensures C2-continuity. The experimental results with examples verify the validity of the proposed method.