Search:
Computing and Library Services - delivering an inspiring information environment

Numerical Analysis of the Boundary Effect of Radial Basis Functions in 3D Surface Reconstruction

Zhang, X., Jiang, Xiang and Crampton, Andrew (2007) Numerical Analysis of the Boundary Effect of Radial Basis Functions in 3D Surface Reconstruction. In: Proceedings of Computing and Engineering Annual Researchers' Conference 2007: CEARC’07. University of Huddersfield, Huddersfield, pp. 1-6.

[img] PDF - Published Version
Download (386kB)

    Abstract

    Surface reconstruction is very important for surface characterization and graph processing. Radial basis function has now become a popular method to reconstruct 3D surfaces from scattered data. However, it is relatively inaccurate at the boundary region. To solve this problem, a circle of new centres are added outside the domain of interest. The factors that influence the boundary behaviour are analyzed quantitatively via numerical experiments. It is demonstrated that if the new centres are properly located, the boundary problem can be effectively overcome whilst not reducing the accuracy at the interior area. A modified Graham scan technique is employed to obtain the boundary points from a scattered point set. These boundary points are extended outside with an appropriate distance, and then uniformized to form the new auxiliary centres.

    Item Type: Book Chapter
    Uncontrolled Keywords: Surface reconstruction, Boundary effect, Radial basis function, Centre treatment
    Subjects: T Technology > T Technology (General)
    T Technology > TJ Mechanical engineering and machinery
    Q Science > QA Mathematics > QA76 Computer software
    Schools: School of Computing and Engineering
    School of Computing and Engineering > Centre for Precision Technologies
    School of Computing and Engineering > Centre for Precision Technologies > Surface Metrology Group
    School of Computing and Engineering > Computing and Engineering Annual Researchers' Conference (CEARC)
    School of Computing and Engineering > Automotive Engineering Research Group
    School of Computing and Engineering > Informatics Research Group
    School of Computing and Engineering > Informatics Research Group > Knowledge Engineering and Intelligent Interfaces
    School of Computing and Engineering > Informatics Research Group > Software Engineering Research Group
    School of Computing and Engineering > Informatics Research Group > XML, Database and Information Retrieval Research Group
    Related URLs:
    Depositing User: Graham Stone
    Date Deposited: 23 Mar 2009 14:06
    Last Modified: 10 Dec 2010 13:19
    URI: http://eprints.hud.ac.uk/id/eprint/3700

    Document Downloads

    Downloader Countries

    More statistics for this item...

    Item control for Repository Staff only:

    View Item

    University of Huddersfield, Queensgate, Huddersfield, HD1 3DH Copyright and Disclaimer All rights reserved ©