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任意曲线曲面上重磁位场转换的B样条函数法
引用本文:姜效典,王硕儒.任意曲线曲面上重磁位场转换的B样条函数法[J].中国海洋大学学报(自然科学版),1991(3).
作者姓名:姜效典  王硕儒
作者单位:青岛海洋大学地质系 (姜效典),青岛海洋大学地质系(王硕儒)
摘    要:提出用B样条函数求解曲线、曲面上重磁位场的向上延拓,水平、垂向导数计算,磁异常分量互换的方法。该方法的特点是:原理简明,程序通用性强,计算精度高。

关 键 词:重磁位场转换  B样条函数法  曲线曲面上  拉普拉斯方程

THE TRANSFORMATION OF THE GRAVITY AND MAGNETIC FIELD ON AN UNEVEN PROFILE AND SURFACE BY THE B-SPLINE METHOD
Jiang Xiaodian Wang Shuoru.THE TRANSFORMATION OF THE GRAVITY AND MAGNETIC FIELD ON AN UNEVEN PROFILE AND SURFACE BY THE B-SPLINE METHOD[J].Periodical of Ocean University of China,1991(3).
Authors:Jiang Xiaodian Wang Shuoru
Institution:Department of Marine Geology
Abstract:Based on the B-spline functionns's interpolation,derivative and integral,this paper presents the method for solving the upward-continuation,the component convertion and the second and the quartic vertical derivatives on an uneven profile and surface with the B-spline functions.The results show that this method is easier and more accurate than other methods.
Keywords:B-spline functions  transformation of gravity and magnetic potential field  uneven profile and surface  Laplace equation  
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