An orientation on surface reconstruction

G. Kloosterman, G. Kloosterman, Rudolf M.J. van Damme

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    Abstract

    When reconstructing a surface from irregularly spaced data, sampled from a closed surface in 3D, we need to decide how to identify a good triangulation. As a measure of quality we consider various differential geometrical properties, such as integral Gaussian curvature, integral mean curvature and area. We furthermore study a non-functional approach, which is based on a mapping procedure. A locally optimal triangulation is then identified as a fixed point under the map. The optimization methods all require an initial triangulation as a starting point. To find an initial triangulation, we look at growing and shrinking approaches.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Number of pages25
    ISBN (Print)0169-2690
    Publication statusPublished - 1998

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1478
    ISSN (Print)0169-2690

    Keywords

    • IR-65667
    • EWI-3298
    • MSC-53C42
    • METIS-141103
    • MSC-65Y25

    Cite this

    Kloosterman, G., Kloosterman, G., & van Damme, R. M. J. (1998). An orientation on surface reconstruction. Enschede: University of Twente, Department of Applied Mathematics.