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本文用最小二乘原理阐述了多面函数插值法的性质,指出在邻域内用该法插值的优点和精度。首先提出加权系数的有关概念,并分析提供了三次曲面作为核函数的优点。同时,论述了地质统计学中克立格法估值性质及其与多面函数插值的对比和适用性,并进一步对球状模型的通用性作了验证。上述问题的探讨,对用微机绘制矿体等值线图的数据网格化具有实用意义。
In this paper, the principle of multi-faceted function interpolation is expounded by the principle of least squares, and the advantages and precision of interpolation in this neighborhood are pointed out. Firstly, the concept of weighting coefficient is proposed, and the advantages of cubic surface as kernel function are analyzed. At the same time, the paper discusses the valuation nature of Kriging method in geostatistics and its comparison and applicability with multi-faceted function interpolation, and further verifies the universality of the spherical model. The above discussion is of practical significance to the data gridding of the contour map drawn by computer.