Moving parabolic approximation model of point clouds and its application

Abstract

We propose the moving parabolic approximation (MPA) model to reconstruct an improved point-based surface implied by an unorganized point cloud, while also estimating the differential properties of the underlying surface. We present examples which show that our reconstructions of the surface, and estimates of normal and curvature information, are accurate for precise point clouds and robust in the presence of noise. As an application, our proposed model is used to generate triangular meshes approximating point clouds.