Geomagnetic Anomaly Mapping By Multi-Fractal Measure Kriging Interpolation Method

Geomagnetic reference map is one of the main factors that affect the accuracy of geomagnetic matching navigation positioning. In the study of interpolation of geomagnetic to construct reference map, the usual Kriging interpolation method has smooth effect, which leads to the loss of detailed features of geomagnetic anomaly. In this paper, a Multi-fractal Measure Kriging (MFMK) spatial interpolation algorithm is proposed. MFMK method is based on the multi-fractal measure of geomagnetic anomaly. The trend is interpolated by Kriging method and the details are interpolated by multi-fractal measure. Based on MFMK method, Interpolation part of the global geomagnetic anomaly grid data (EMAG2-V3) is performed. The results show that MFMK algorithm can not only characterize the spatial correlation and variability of geomagnetic anomaly, but also effectively measure its local singularity, and enrich the high-frequency details of geomagnetic anomaly. Finally, cross validation is used to evaluate the effectiveness of MFMK interpolation method.