海洋测绘2018，Vol.38Issue(3)：5-8,4.DOI:10.3969/j.issn.1671-3044.2018.03.002
高斯函数拟合参数选取标准的确定
Mathematical Criterion of Gauss Function Fitting Parameters
摘要
Abstract
In water depth measurement,due to the discretization of water depth data,data fitting is needed to obtain seabed topography in unknown area.In the light of the close relation between Gauss＇s function and covariance function,the basic form of linear combination fitting of Gauss function shift is comprehensively analyzed.First of all,using the concept of the covariance function of rotation surface,analyze the fitting conditions of Gauss function and parameters are preliminarily determined;secondly,using Gauss function attenuation characteristics,puts forward a mathematical method to determine the ratio of function parameters,and theoretically analyzes the mathematical essence of parameter selection,achieving the effective intervals of parameter selection.Finally,a lot of practical data are calculated,and the result is consistent with the theory.which improves the efficiency and precision of Gauss function fitting.关键词
水深测量/高斯函数/拟合/比值函数/计算机数学分析Key words
bathymetry/Gauss function/fitting/ratio function/computer mathematical analysis分类
天文与地球科学引用本文复制引用
张瑞辰,刘雁春,边少锋..高斯函数拟合参数选取标准的确定[J].海洋测绘,2018,38(3):5-8,4.基金项目
国家自然科学基金(41576105,41631072). （41576105,41631072）
