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    Fast Approximating Triangulation of Large Scattered Datasets

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    Author
    Warren, Joe
    Weimer, Henrik
    Date
    1997-09-03
    Citation
    Warren, Joe and Weimer, Henrik. "Fast Approximating Triangulation of Large Scattered Datasets." (1997) https://hdl.handle.net/1911/96472.
    Abstract
    This report describes algorithms and data-structures for the fast construction of three-dimensional triangulations from large sets of scattered data-points. The triangulations have a guaranteed error bound, i.e. all the data-points lie within a pre-specified distance from the triangulation. Three different methods for choosing triangulation vertices are presented, based on interpolation, and L2 and L_infinity-optimization of the error over subsets of the data-points. The main focus of this report will be on devising a simple and fast algorithm for constructing an approximating triangulation of a very large set of points. We propose the use of adapted dynamic data structures and excessive caching of information to speed up the computation and show how the method can be extended to approximate multiple dependent datasets in higher-dimensional approximation problems.
    Type
    Technical report
    Citable link to this page
    https://hdl.handle.net/1911/96472
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    • Computer Science Technical Reports [244]

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    Managed by the Digital Scholarship Services at Fondren Library, Rice University
    Physical Address: 6100 Main Street, Houston, Texas 77005
    Mailing Address: MS-44, P.O.BOX 1892, Houston, Texas 77251-1892