﻿ 基于阵列代数的测深数据拟合方法

# 基于阵列代数的测深数据拟合方法Fitting Method of Hydrographic Data Based on Array Algebra

Abstract: The traditional bathymetric survey involves a large number of discrete, irregularly distributed wa-ter depth data. In order to solve the problem of complex calculation and slow speed of traditional fitting method, the idea of array algebra is applied to the fitting of the sounding grid. The least squares solution of the array algebra is established by taking the biquadratic polynomial fitting as an example, and the least square solution of the quadratic matrix equation with the help of the normal equation is given. Moreover, the paper gives the basic steps to achieve the improved quasi legal, efficiency and accuracy of the experimental data to determine unknown point water depth on the inverse distance weighted method, global polynomial interpolation and least square fitting method of array algebra is compared. The results show that the efficiency of array algebra fitting is better than that of the other two methods, and can be applied to the data processing of hydrology survey.

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