Obtaining horizontal edges and the buried depths of geological bodies, using potential field tensor data directly is an outstanding question. The largest eigenvalue of the structure tensor is one of the commonly used edge detectors for delineating the horizontal edges without depth information of the potential field tensor data. In this study, we presented a normalized largest eigenvalue of structure tensor method based on the normalized downward continuation (NDC) to invert the source location parameters without any priori information. To improve the stability and accuracy of the NDC calculation, the Chebyshev–Pade´ approximation downward continuation method was introduced to obtain the potential field data on different depth levels. The new approach was tested on various models data with and without noise, which validated that it can simultaneously obtain the horizontal edges and the buried depths of the geological bodies. The satisfactory results demonstrated that the normalized largest eigenvalue of structure tensor can describe the locations of geological sources and decrease the noise interference magnified by the downward continuation. Finally, the method was applied to the gravity data over the Humble salt dome in USA, and the near-bottom magnetic data over the Southwest Indian Ridge. The results show a good correspondence to the results of previous work.

中文翻译：

---

结构张量归一化最大特征值在势场张量数据解释中的应用

直接利用势场张量数据获取地质体的水平边缘和埋深是一个突出的问题。结构张量的最大特征值是常用的边缘检测器之一，用于在没有势场张量数据的深度信息的情况下描绘水平边缘。在这项研究中，我们提出了一种基于归一化向下延续（NDC）的结构张量归一化最大特征值方法，以在没有任何先验信息的情况下反转源位置参数。为提高NDC计算的稳定性和准确性，引入Chebyshev-Pade´近似向下延拓法，获取不同深度水平的势场数据。新方法在有噪声和无噪声的各种模型数据上进行了测试，验证了它可以同时获得地质体的水平边缘和埋深。满意的结果表明，归一化的结构张量最大特征值可以描述地质源的位置，减少向下延续放大的噪声干扰。最后，将该方法应用于美国Humble盐丘上空的重力资料和西南印度洋脊上的近底磁资料。结果显示与先前工作的结果很好地对应。满意的结果表明，归一化的结构张量最大特征值可以描述地质源的位置，减少向下延续放大的噪声干扰。最后，将该方法应用于美国Humble盐丘上空的重力资料和西南印度洋脊上的近底磁资料。结果显示与先前工作的结果很好地对应。满意的结果表明，归一化的结构张量最大特征值可以描述地质源的位置，减少向下延续放大的噪声干扰。最后，将该方法应用于美国Humble盐丘上空的重力资料和西南印度洋脊上的近底磁资料。结果显示与先前工作的结果很好地对应。