测绘学报

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导航用海洋重力异常图的孔斯曲面重构方法

李姗姗1,吴晓平2,赵东明3   

  1. 1. 信息工程大学测绘学院
    2. 解放军信息工程大学测绘学院一系
    3. 解放军信息工程大学测绘学院
  • 收稿日期:2009-09-23 修回日期:2010-04-05 出版日期:2010-10-25 发布日期:2010-10-25
  • 通讯作者: 李姗姗

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

  1. 1.
    2. Zhengzhou Information Engineering University
  • Received:2009-09-23 Revised:2010-04-05 Online:2010-10-25 Published:2010-10-25

摘要: 本文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,建立了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高于双线性内插模型,且边界条件数越多,模型精度越高;同时利用现有全球SRTM30plus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,精度整体提高了25%。

Abstract: 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, it was showed that the accuracy of gravity anomaly model based on Coons curved surface is better than that based on bilinear interpolation model, and furthermore, the more boundary conditions, the better the model accuracy would be. With the global SRTM30plus 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.