Construction of a VC1 interpolant over triangles via edge deletion

Claudia Cottin, Rudolf M.J. van Damme

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    Abstract

    We present a construction of a visually smooth surface which interpolates to position values and normal vectors of randomly distributed points on a 3D object. The method is local and uses quartic triangular and bicubic quadrilateral patches without splits. It heavily relies on an edge deleting algorithm which, starting from a given triangulation, derives a suitable combination of three- and four sided patches.
    Original languageUndefined
    Pages (from-to)675-686
    Number of pages12
    JournalComputer aided geometric design
    Volume11
    Issue number6
    DOIs
    Publication statusPublished - 1994

    Keywords

    • Visually smooth interpolants
    • Bezier patches
    • IR-30293
    • 3D reconstruction
    • Interpolation to scattered data
    • METIS-140933

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