导航用海洋重力异常图的孔斯曲面重构方法

Coons Curved Surface Reconstruction Method of Marine Gravity Anomaly Map for Navigation

基于地球重力物理场连续的特性,将计算机构图中的孔斯(Coons)曲面建模引入到导航用海洋重力异常图的加密重构中,建立不同边界曲线的双一次Coons曲面和双三次C1Coons曲面重力异常模型。通过对实验区数据计算分析,结果表明基于Coons曲面建立的重力异常模型精度均优于移动曲面拟合模型;同时利用现有全球SRTM30″plus海深数据,借鉴于间接内插的思想,以布格异常基于Coons曲面进行重力异常图的重构,与空间重力异常直接建模相比,精度整体提高25%。

Based on the continuation property of the Earth＇s gravity field,the Coons curved surface modeling of computer graphics was introduced into the reconstruction of the marine gravity anomalies map for navigation,and both the bilinear Coons curved surface gravity anomaly model and bi-cubic C1Coons curved surface gravity anomaly model for different boundary curves were established.Through the analysis of data within experimental area,results showed that the accuracy of gravity anomaly model based on Coons curved surface was better than that based on moving surface fitting model.Based on the global SRTM30″plus oceanic depth data,the reconstruction of gravity anomaly map based on Coons curved surface using Bouger anomaly was made,and the accuracy was improved by 25% compared with the direct modeling using free air gravity anomalies.