Efficiency of local polynomials in contour mapping |
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| Authors: | Paul F Czeglédy |
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| Institution: | (1) Institut de Statistique, Université de Genève, Switzerland |
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| Abstract: | On the basis of samples taken from a known topographic surface, the parameters of two types of linear models are estimated. The first category is defined by polynomials or trigonometric functions, whose parameters are simultaneously computed from available data. In the second category a set of local centers is defined, and in the neighborhood of each center a fixed-degree polynomial is developed. An approximative resemblance index is calculated, and contour maps corresponding to various models are compared with the topographic map. It is found that with an increasing number of grid points, maps of local polynomials are converging both in continuity and in resemblance. For a sufficient number of grid points, this resemblance is always higher than those produced by models of the first category. |
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| Keywords: | mapping regression analysis trend analysis |
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