| 基于谱矩的地学特征因子提取方法及其应用 |
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| 引用本文： | 付丽华,阮曙芬,李宏伟,刘智慧.基于谱矩的地学特征因子提取方法及其应用[J].地质论评,2017,63(1):246-256. |
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| 作者姓名： | 付丽华 阮曙芬 李宏伟 刘智慧 |
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| 作者单位： | 中国地质大学（武汉）数学与物理学院，武汉，430074；,中国地质大学（武汉）地球物理与空间信息学院，武汉，430074,中国地质大学（武汉）数学与物理学院，武汉，430074；,中国地质大学（武汉）数学与物理学院，武汉，430074； |
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| 基金项目： | 本文为教育部新世纪优秀人才支持计划(编号：NCET-13-1011)和国家自然科学基金资助项目(编号：11426210)的成果。 |
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| 摘 要： | 地学特征因子的提取是定量化数学地质分析的重要基础,可以为地貌类型识别提供有效的客观依据。基于谱矩分析,本文提出了一种描述表面数据粗糙程度的特征因子,并且分析了新特征因子的特点和其应用可能性。该方法以随机过程理论为基础,通过计算表面各阶谱矩以及相应的统计不变量来描述三维表面形貌的特征。以中国卫星重力测量数据和DEM数据为例,试验该方法运用于地貌类型识别的效果。理论模型数据与实际数据结果均表明,基于谱矩的新的地学特征因子不仅可以有效地反映数据起伏与变异特征,而且提取出的特征可以为地貌及重力构造单元划分提供客观依据。
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| 关 键 词： | 数学地质 特征因子 谱矩 粗糙度 地貌类型 卫星重力 |
| 收稿时间： | 2016/9/26 0:00:00 |
| 修稿时间： | 2016/12/5 0:00:00 |
The Spectrum Moments based Approach to Geo science Features Extraction and Its applications |
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| FU Lihu,RUAN Shufen,LI Hongwei and LIU Zhihui.The Spectrum Moments based Approach to Geo science Features Extraction and Its applications[J].Geological Review,2017,63(1):246-256. |
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| Authors: | FU Lihu RUAN Shufen LI Hongwei and LIU Zhihui |
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| Institution: | School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074;,Institute of Geophysics and Geomatics, China University of Geosciences, Wuhan, 430074,School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074; and School of Mathematics and Physics, China University of Geosciences, Wuhan, 430074; |
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| Abstract: | Geo science features extraction plays an important role in the quantitative analysis of mathematical geology, which provides an objective basis for identifying the types of surface units. In this paper, a new type of Geo science features is defined to characterize the roughness of surfaces. In addition, the mathematical characteristic of the new feature is discussed. The new method relies on the theory of stochastic processes. Both the spectrum moments and its statistical invariants are considered as the indicators for characterizing the surface physiography. The experiments are performed on both the satellite gravity data in China and Digital Elevation Model (DEM) data. And the process of geomorphology recognition and steps for the calculation process are demonstrated. The results show that the new feature can reflect the relief characteristics of landforms, and the method can also be applied to create Gravity tectonic units and segmentation based maps of physiography. |
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| Keywords: | Mathematical geology features factor spectrum moments roughness geomorphic types satellite gravity |
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