不规则水体断面面积及体积的计算-兼论多面函数内插模型的精度
On the Computation of the profiles and Volumes of Water Body with Irregular Shape-Concurrently Discussing the Interpolation Accuracy of Multi-Surface Function
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摘要: 本文以吕言的三次曲面函数内插模型为基础1,推出一套计算不规则水体断面面积及其体积的封闭公式,并用实例加以验证。最后从另一侧面探讨了多面函数模型的内插精度问题。本文得到的公式同样适用于工程上的土方量及断面面积的计算。Abstract: Based on Lu Yan's cubic surface function(interpolation model). A series of closed formulas for calculating the profiles and volumes of water body with irregular shape were derived. Some computation examples shown in this paper confirm these formula. Finally, from another aspect, the interpolation accuracy of the multisurface function was discussed. The formulas provided in this paper are also suitable for the computation of the earthwork volumes and profiles.