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A hierarchical model for approximating 2-1/2-dimensional surfaces is described. This model, called a Delaunay pyramid, is a method for compression of spatial data and representation of a surface at successively finer levels of detail. A Delaunay pyramid is based on a sequence of Delaunay triangulations of suitably defined subsets of the set of data points. A triangle-oriented encoding structure for a Delaunay pyramid is presented, and its storage complexity is evaluated. An algorithm for constructing a Delaunay pyramid is described, and a method for solving the point location and evaluation on such a model is discussed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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Leila De Floriani (1989) studied this question.
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