A geomagnetic mapping approach based on multi-fractal thoery

Yuxin Zhao, Shuai Chang, Chengcheng Wan
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Abstract

Geomagnetic anomaly filed is a typical two-dimensional irregular dataset, and high-accuracy map is vital foundation of geomagnetic navigation. Traditional interpolating method could be classified into two categories, one is constructing smooth curve or surface through reference points, and another assign different weights on reference points to make estimation. ICSS (Interpolation and Correction step-by-step) method is proposed, which combine multi-fractal with the second category methods, and well improve their low-pass filter characteristic analyzed in this paper. Experimental results show that it could depict the singularity of small scale more accurately and improve mapping precision.
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基于多重分形理论的地磁测图方法
地磁异常场是典型的二维不规则数据集,高精度地磁地图是地磁导航的重要基础。传统的插值方法可分为两类,一类是通过参考点构造光滑曲线或曲面,另一类是对参考点赋予不同的权值进行估计。提出了ICSS (Interpolation and Correction step)方法,将多重分形与第二类方法相结合,很好地改善了本文分析的低通滤波器特性。实验结果表明,该方法能更准确地描述小比例尺的奇异点,提高了制图精度。
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