利用各方向均方差相关系数进行位场边界检测

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摘要位场边界检测在位场数据处理中占有重要的地位，大多数的检测方法都是基于位场的梯度计算，因此算法易受干扰、稳定性较低。本文基于数理统计理论，不需要进行位场梯度计算，提出了利用各方向均方差相关系数进行位场边界检测，并且对算法及其合理性进行了详细的阐述与分析。在模型试验中，分别做了单一模型、组合模型以及加入随机噪声的组合模型试验，验证了方法的可靠性，并进一步与其它边界识别方法作了比较。各方向均方差相关系数法的特点为：算法简单稳定，结果辨识度较高，能同时对不同埋深的地质体边界都有较好的检测效果，能较好地保留边界形态，对噪声敏感度较低。最后将方法应用于老挝万象附近某地实测布格重力异常的处理中，利用研究区遥感解译的构造格架作为佐证，说明了各方向均方差相关系数法在实际应用中的可行性，为进一步判读区内构造展布提供了依据。

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	徐梦龙
	杨长保
	吴燕冈
	陈竞一
	郇恒飞

关键词：边界检测各方向均方差相关系数组合模型实测布格重力

Abstract： Most edge-detection methods rely on calculating gradient derivatives of the potential field, a process that is easily affected by noise and is therefore of low stability. We propose a new edge-detection method named correlation coefficient of multidirectional standard deviations (CCMS) that is solely based on statistics. First, we prove the reliability of the proposed method using a single model and then a combination of models. The proposed method is evaluated by comparing the results with those obtained by other edge-detection methods. The CCMS method offers outstanding recognition, retains the sharpness of details, and has low sensitivity to noise. We also applied the CCMS method to Bouguer anomaly data of a potash deposit in Laos. The applicability of the CCMS method is shown by comparing the inferred tectonic framework to that inferred from remote sensing (RS) data.

Key words： Edge detection Correlation coefficient multidirectional standard deviation Bouguer anomaly

收稿日期: 2014-09-05;

基金资助:

本研究由国家863计划课题《复杂地形重、磁三维反演技术》（编号：2006AA06Z107）以及国家自然科学基金重点项目《长白山火山演变历史及潜在的危险》（编号：40930314）资助。

引用本文:

徐梦龙,杨长保,吴燕冈等. 利用各方向均方差相关系数进行位场边界检测[J]. 应用地球物理, 2015, 12(1): 23-34.

Xu Meng-Long,Yang Chang-Bao,Wu Yan-Gang et al. Edge detection in the potential field using the correlation coefficients of multidirectional standard deviations[J]. APPLIED GEOPHYSICS, 2015, 12(1): 23-34.

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