重力场三维表达分辨率的定量确定  

Quantitative Determination of the Resolution of the 3D Expression of Gravity Field

作　　者：唐建军[1] 吴华玲[1] 

机构地区：[1]东华理工大学测绘工程学院,南昌330013

出　　处：《江西科学》2017年第1期90-94,共5页Jiangxi Science

基　　金：国家自然科学基金(4140040036)

摘　　要：在对海量重力场数据三维可视化的过程中,存在一个分辨率选择的问题——既想要保证重力场可视化的精度,保留重力场特征信息,又想要尽可能减少数据量,保证绘图效率。基于这个分辨率的选择问题,利用分形几何相关理论,证明重力场具有统计意义上的分形特征,然后利用"曲面方差统计法"计算区域重力场的曲面的分形维数。分形维数能够很好的反映重力场曲面信息量,通过研究分形维数与分辨率的数量关系,找出重力场信息量随分辨率发生递减的临界点,进而确定区域重力场三维表达的最适宜分辨率。In the process of mass data of gravity field 3 d visualization, we have a problems to select a resolution that both want to ensure the accuracy of the gravity field visualization, keep gravity field characteristic information, and to reduce the amount of data as far as possible, ensure that the draw- ing efficiency. This article is based on the choice of the resolution, using the theory of fractal geome- try related ,prove that gravity field has fractal characteristics on the statistical significance, and then the surface variance statistics method is used to calculate the fractal dimension of gravitational field surface. Fraetal dimension can perfectly reflect the surface information of gravity field, by studying the relationship between fractal dimension and the amount of resolution, find out the gravity field in- formation with the resolution of diminishing a critical point, and then determine the regional gravity field three-dimensional expression of the optimal resolution.

关 键 词：重力场三维表达 分辨率 分形几何 分形维数 曲面方差统计法 

分 类 号：P312.1[天文地球—固体地球物理学]