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基于DEM的月表典型撞击坑形态特征的指标因子量化关系模拟

Simulation of Quantitative Relationship Between Morphological Feature Topographic Factors of Lunar Crater Based on DEM

  • 摘要: 在激光测高方法获取的100 m分辨率的全月数字高程模型数据基础上,选取1 407个不同形态的撞击坑,提取多视角刻画撞击坑形态的地形因子指标,并进行撞击坑形态特征分析。在此基础上,采用数理统计与地理建模的方法,重点探讨地形因子间的关联性,进一步构建基于多因子的量化模型,以解释地形因子信息与撞击坑形态发育的内在联系。结果表明,深径比(y)与直径(x1)、体积(x2)、圆度(x3)、体态比(x4)以及坑壁坡度(x5)能较好地刻画撞击坑形态发育特征,通过多元线性回归拟合构建指标间的函数关系,且拟合模型在0.05置信水平下的显著性F=492.037>>Fa,拟合模型的显著性极好,y=(7.941e-007)x1+(8.063e-016)x2+0.082x3+0.012x4+0.007x5-0.042为其模拟函数关系式,拟合优度达0.637。该模拟方法在月表撞击坑形态发育研究中有重要意义,是撞击坑形态特征的数字地形模拟与信息挖掘的一次有益实践。

     

    Abstract: Based on the surface DEM data of 100m resolution obtained by the laser altimetry method, 1407 different types of impact craters are selected to extract the topographic factor indicators of the crater morphology from multiple perspectives, and the morphological characteristics of the crater are analyzed. On the basis of the method of mathematical statistics and geographic modeling, the relationship between topographic factors is mainly discussed, and a multi-factor based quantitative model is further constructed to explain the intrinsic relationship between topographic factor information and crater morphology development. The results show that the depth-diameter ratio (y) and diameter (x1), volume (x2), circularity (x3), posture ratio (x4) and crater wall slope (x5) can better characterize the morphological characteristics of the crater. Multiple linear regression fitting was used to construct the functional relationship between the indicators, and the significance of the fitted model at the 0.05 confidence level was F=492.037>>Fa. The significance of the fitted model was excellent, and its simulation function relationship was fitted. Goodness is 0.637. The simulation method is of great significance in the study of the morphological development of the lunar impact crater. It is a useful practice of digital terrain simulation and information mining of the crater feature.

     

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