Fast Polygonal Approximation of Terrains and Height Fields (1995)  (Make Corrections)  (74 citations)
Michael Garland, Paul S. Heckbert

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Abstract: Several algorithms for approximating terrains and other height fields using polygonal meshes are described, compared, and optimized. These algorithms take a height field as input, typically a rectangular grid of elevation data H(x; y), and approximate it with a mesh of triangles, also known as a triangulated irregular network, or TIN. The algorithms attempt to minimize both the error and the number of triangles in the approximation. Applications include fast rendering of terrain data for flight ... (Update)

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...terrains that goes beyond the scope of this paper. We refer the interested reader to the literature for more details (see [3, 5, 6, 9, 12, 13, 19]) Because such TIN based methods work on arbitrary irregular point input data sets they tend to have higher computa 1. hregular...

...of the surface depicted on the left handside. Note that terrains can also be represented using TINs (see for example Garland et al.[8]) However using a quadtree triangulation, a multiresolution terrain is naturally described by a nested family of quadtrees. The...

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BibTeX entry:   (Update)

P.S. Heckbert and M. Garland. Fast polygonal approximation of terrains and height fields. Technical Report CMU-CS-95-181, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213, 1995. http://citeseer.nj.nec.com/heckbert95fast.html   More

@techreport{ garland95fast,
    author = "Michael Garland and Paul S. Heckbert",
    title = "Fast Polygonal Approximation of Terrains and Height Fields",
    number = "CMU-CS-95-181",
    month = "Sept.",
    year = "1995",
    url = "citeseer.nj.nec.com/heckbert95fast.html" }
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