An orientation on surface reconstruction

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

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    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
    Number of pages25
    ISBN (Print)0169-2690
    Publication statusPublished - 1998

    Publication series

    PublisherDepartment of Applied Mathematics, University of Twente
    ISSN (Print)0169-2690


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

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