TAILIEUCHUNG - Báo cáo " Moving parabolic approximation model of point clouds and its application "

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. | VNU Journal of Science Natural Sciences and Technology 24 2008 179-185 Moving parabolic approximation model of point clouds and its application Zhouwang Yang1 Tae-wan Kim2 department of Naval Architecture and Ocean Engineering Seoul National University Seoul 151-744 Korea department of Naval Architecture and Ocean Engineering and Research Institute of Marine Systems Engineering Seoul National University Seoul 151-744 Korea Received 31 October 2007 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. 1. Introduction Acquiring large amounts of point data from real objects has become more convenient because of modern sensing technologies and digital scanning devices. However the data acquired is usually distorted by noise arising out of physical measurement processes and by the limitations of the acquisition technologies. Even so it is possible to obtain the smooth underlying shapes which are implied by an unstructured point cloud. Consequently techniques of reconstructing models from noisy data sets are receiving increasing attention. Point-based surfaces 1-3 have recently become an appealing shape representation in computer graphics and can be used for Corresponding author. Email taewan@ geometric modeling 4 . The point-based representation of a surface should be as compact as possible meaning that it is neither noisy nor redundant. It is therefore important to develop algorithms which generate compact point sets from nonuniform and noisy input so as effectively to reconstruct the underlying

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