地理研究 ›› 2012, Vol. 31 ›› Issue (2): 369-376.doi: 10.11821/yj2012020016

• 地球信息科学 • 上一篇    下一篇

基于“嫦娥一号”数据的月表撞击坑特征的多参数统计分析

王心源1, 吉玮2, 李超1,3, 骆磊1,3   

  1. 1. 中国科学院对地观测与数字地球科学中心数字地球重点实验室, 北京 100094;
    2. 安徽师范大学国土资源与旅游学院, 芜湖 241000;
    3. 中国科学院研究生院, 北京 100049
  • 收稿日期:2011-06-20 修回日期:2011-10-15 出版日期:2012-02-20 发布日期:2012-02-20
  • 作者简介:王心源(1964- ),男,安徽六安人,研究员,博士生导师,研究方向为遥感考古。E-mail:xywang@ceode.ac.cn; 吉玮(1986- ),男,江苏海安人,硕士研究生,研究方向为地理信息系统和遥感应用。E-mail:ntweiji@yeah.net
  • 基金资助:

    国家高技术研究发展计划(863计划)(2010AA122202);国家自然科学基金项目(60972141)

Multi-parameters statistical analysis of impact craters' features on lunar surface based on Chang'e-1

WANG Xin-yuan1, JI Wei2, LI Chao1,3, LUO Lei1,3   

  1. 1. Key Laboratory of Digital Earth;Center for Earth Observation and Digital Earth, CAS, Beijing 100094, China;
    2. College of National Territorial Resource & Tourism, Anhui Normal University, Wuhu 241000, Anhui, China;
    3. Graduate University of Chinese Academy of Sciences, Beijing, 100049, China
  • Received:2011-06-20 Revised:2011-10-15 Online:2012-02-20 Published:2012-02-20

摘要: 撞击坑是月表最主要的地貌形态,相关研究多采用撞击坑深度和坑口直径比值作为月球形貌研究依据。事实上撞击坑的形状不是典型的圆锥,而是上大下小的截锥形。依据"嫦娥一号"影像图和全月球数字高程模型数据,获取了1000个撞击坑坑唇等效半径r1、坑底等效半径r2,撞击坑的深度h,进而对r1r2h三个参数进行了统计分析和聚类分析。结果表明:(1)撞击坑数目与r1r2的分形维数分别为D1=1.88、D2=1.51,都大于地球撞击坑的分维数1.16,表明月表撞击坑复杂度受到外界的影响较地球低,且坑唇的复杂度比坑底高;(2)r1-r2之间具有很好的线性正相关关系,聚类结果将其分为三类,决定系数分别为R12=0.685、R22=0.886、R32=0.974;(3)对r1-r2-h三者进行线性拟合,决定系数R2=0.968,表明三者之间同样具有显著线性关系,且月表撞击坑的形成过程以及形成之后都处于相似的动力环境下。

关键词: 月球, 撞击坑, 分维数, 统计分析

Abstract: Impact craters are the main geomorphological type on lunar surface.They can provide a large amount of information,including the age of geological unit,the history and evolution of the moon impact.Due to the fact that the current automatic recognition methods for impact craters have deviations of extraction range and locations,simultaneously they can not extract the information of the buttom,thus the whole characters of the impact craters can not be researched deeply.The top and buttom edges of 1000 impact craters have been extracted by manual vectorization in the remote sensing images evenly in this study.The equivalent radius of the top and buttom edges,that is r1(top) and r2(buttom),are computed by the area of the range of the crater's lip and buttom.And h,the height(depth) of the impact craters,are derived from the digital elevation model of the whole moon.Then all the parameters,r1,r2 and h,are researched by fractal analysis,statistical analysis and cluster analysis.The results show that:(1) The fractal dimension of the impact craters' number with r1 and r2 is D1=1.88 and D2=1.51 respectively.They are both larger than the fractal dimension of the impact craters on the earth,indicating that the extraneous interference which decides the complexity of the impact craters on the moon surface is lower than that on the earth's,and the complexity of the top is higher than that of the buttom at the same time.(2) There is a good liner correlation between r1 and r2,and the clustering results will be divided into three categories,with the coefficients of determination being R12=0.685,R22=0.886,and R32=0.974,respectively.(3) The coefficient of determination R2=0.968 is obtained by the liner fit of three parameters r1-r2-h,which shows that there is also a good liner correlation among r1-r2-h,and the formation of the lunar impact craters is found in the same dynamic environment,the same as the environment after the formation.

Key words: moon, impact craters, fractal dimension, statistical analysis