基于QTM格网的球面对称正交小波构建与多分辨率表达  

Constructing Method and Multi-resolution Expression for Spherical Symmetric Orthogonal Wavelets Based on QTM Grids

作　　者：张晓博[1] 赵迪[1,2] 赵学胜[1] 刘芳[1] 

机构地区：[1]中国矿业大学(北京)地球与测绘工程学院,北京100083 [2]湖南文理学院资源与旅游学院,湖南常德415000

出　　处：《地理与地理信息科学》2012年第5期25-28,F0002,共5页Geography and Geo-Information Science

基　　金：国家自然科学基金面上项目"顾及多类型数据无缝融合的全球离散格网自适应建模"(41171306)

摘　　要：全球离散格网可以实现全球空间数据的无缝管理,却不易进行球面局部数据的多分辨率自适应表达与描述。针对上述问题,该文在基于球内接正八面体的全球离散格网框架基础上,引入球面流形概念,将平面小波在球面上重新定义,构建了具有多分辨分析、局部紧支撑特性的球面离散对称正交小波,可以兼顾数据压缩和球面局部数据的多分辨率自适应表达。最后在Matlab平台上进行了相关实验分析,验证了相关方法的正确性与可行性。Although discrete global grids can realize seamless management of the global spatial data, it is not easy to describe multi-resolution adaptive expression and changes of spherical local data. Address to these issues and with the introduction of spherical manifold, the authors redefine plane wavelet on the sphere based on the framework of the global discrete grids of inscribed octahedron, and construct a spherical discrete, symmetric and orthogonal wavelet with multi-resolution analysis, which can provide locally compact support for balancing data compression and multi-resolution adaptive expression and change on local sphere area. Finally, the authors implement an experimental analysis on the Matlab platform and verify the validity and feasibility of the related methods.

关 键 词：四元三角网 球面离散小波 正交小波基 

分 类 号：P208[天文地球—地图制图学与地理信息工程]