中文摘要：

利用嫦娥一号激光高度计获取的800多万个有效记录点科学数据,描述了一种基于Kriging插值方法来生成空间分辨率为0.25°×0.25°全月球均匀网格的数字高程模型.即对激光高度计科学数据进行加权插值,通过引进以距离为自变量的变差函数来计算权值.因变差函数既可以反映激光测高数据的空间结构特性,又可以反应激光测高数据的随机分布特性,故采用Kriging方法插值可以得到较理想的月球高程模型.同时,基于生成的全月球数字高程模型得到了月球的汉麦尔投影、麦卡托投影、正面、反面、南极、北极等月球地形图.该模型也与国际上的月球模型Clementine、ULCN2005与CLTM-s01进行了对比.由于嫦娥一号激光测高数据达800多万个记录点,得到的月球数字高程模型的精度更高.

英文摘要：

More than 8 million range measurements from the Chang＇E-1 Laser Altimeter have been used to produce a global Digital Elevation Model of the Moon with the Kriging Interpolation method. Through extracting and making grid of the moon＇s globe PSD data which was got by the Chang＇e-1, the lunar global 0.25°×0.25° grid model was obtained. This model regards the lunar center of mass as reference core, regards the mooris average radius 1738 km as basis reference. In order to make the ChangE lunar model perform directly and accurately, we use ChangE 0.25~X 0. 25~ lunar global grid to create lunar maps with Orthographic projection, Hammer projection and Robinson projection. By comparing and analyzing the lunar model we proposed, Clementine, ULCN2005, CLTM-s01, the model we proposed have not only obvious improvement in space coverage, model accuracy and reliability and resolution ratio but also on the two poles due to its better global samplings.