滚动球变换的数字水深模型多尺度表达  

Multi-scale Representation of Digital Depth Model Based on Rolling Ball Transform

作　　者：董箭[1,2] 彭认灿[1,2] 张立华[1,2] 李宁[1,2] 贾帅东[1,2] 

机构地区：[1]海军大连舰艇学院海洋测绘科学与工程系,大连116018 [2]海军大连舰艇学院海洋测绘工程军队重点实验室,大连116018

出　　处：《地球信息科学学报》2012年第6期704-711,共8页Journal of Geo-information Science

基　　金：国家自然科学基金项目(41171349);国家"863"计划项目(2012AA12A406)

摘　　要：空间数据的多尺度表达,是GIS领域研究的重点和难点问题之一。本文以数字水深模型(Digital Depth Mod-el,DDM)为研究对象,从DDM的地理和尺度特性出发,在分析二维滚动圆变换算法原理的基础上,通过对二维滚动圆变换算法的维数扩展,提出一种可用于DDM多尺度表达的滚动球变换算法。即利用不同大小的三维空间球体代替二维滚动圆沿给定DDM的上侧表面滚动,得到可保留正向地貌,缩小或填平小于一定尺度下的海底负向地貌的DDM,从保障舰船海上航行安全的角度,实现对DDM的多尺度表达。另阐述了该算法的基本原理和实现步骤,并在VC++环境下对算法的正确性和有效性进行了验证。实验结果表明,该算法在符合DDM多尺度表达原则的前提下,能较好地保持DDM的基本地形特征,且具有较高的计算效率。The multi-scale representation of spatial data is one of the most important and difficult problems in the field of GIS. Digital Depth Model （DDM） is the digitized model reflecting the depth change of ocean. As an important representation mode of sea floor relief, DDM is not only the main source information guarantying safety navigation, but also the information platform for marine geoscience research, maritime engineering, subaqueous archaeology and so on. With the development of marine geographic envi- ronment, the application fields of DDM are expanding increasingly, which results the requirements for multi-scale representation of DDM. In fact, in the same sea area, DDM of different scale is the different digitized representation of the identical sea floor landform. Therefore, it is an effective approach to multiscale application by studying a multi-scale representation method based on original DDM. As an important visualization representation mode of digital depth model, bathymetric contour shares the same constraint multi-scale representation principle of DDM. Existing multi-scale representation algorithms of DDM are mostly by dimensional extending of generalization algorithms for two dimensional bathymetric contour graphics. For those multi-scale representation algorithms barely focus on the geometry characteristics of DDM, and simplify DDM just by deleting some grid points and reserving the feature points. While DDM generalization is not a simple process of accepting or rejecting the grid points of DDM, some factors inclu- ding geographic and scale character of DDM should be considered to maintain the consistency of spatial cognition and abstract grade. Mainly focuses on the geographic and scale character of DDM, based on the analysis of the essential principle of the two dimensional rolling circle transform algorithm, and by means of rolling circle transform dimensional extension, the paper has brought forward a multi-scale representa- tion of DDM based on rolling ball transform algorithm. Namely, by u

关 键 词：数字水深模型(DDM) 多尺度表达 滚动圆变换 滚动球变换 海洋水深测量 

分 类 号：P208[天文地球—地图制图学与地理信息工程]