几何条件与变换模型对坐标变换质量的影响  

Affects of Geometrical Conditions and Transformation Methods on Quality of Coordinate Transformation

作　　者：钟成[1,2] 李卉[3] 李宗华[4] 李德仁[2] 

机构地区：[1]中国地质大学(武汉)教育部长江三峡库区地质灾害研究中心,湖北武汉430074 [2]武汉大学测绘遥感信息工程国家重点试验室,湖北武汉430079 [3]中国地质大学(武汉)空间科学技术研究中心,湖北武汉430074 [4]武汉市国土资源和规划信息中心,湖北武汉430014

出　　处：《测绘学报》2010年第6期642-648,共7页Acta Geodaetica et Cartographica Sinica

基　　金：国家973计划(2011CB707001);国家863计划(2008AA121604);自然科学基金(41001308;41071291;40701154)

摘　　要：提出同名点的信噪比是影响坐标变换质量的根本因素,各种变换方法的区别在于对信号的模拟能力和抗噪音干扰能力。设计一套包含可靠性指标和模拟水平指标的坐标变换评价体系。通过计算各个同名点的多余观测分量和内、外可靠性,评价在某种坐标变换方法下各同名点发现和抵抗噪音的能力,通过讨论坐标变换过程的精度和扩展性、可逆性、唯一性,评价各种模型面对不同应用要求时对信号的模拟能力。对典型数据的对比试验证明采用上述指标的可行性、必要性和有效性,考察了不同几何条件和变换模型对上述指标的影响,指出改善几何条件的办法和各种变换模型适用的条件。It is presented that the crucial factor for the quality of coordinate transformation is the signal-to-noise ratio（SNR） of common points,so differences among transformation models are their simulation ability of signals,detectability and defensibility of noises.Then,a new quality evaluation system of coordinate transformation,including reliability indicators and simulation indicators,is put forward.The reliability indicators include the redundant observation components,inner and external reliability,which imply the geometry condition,detectability and defensibility of noises respectively;the simulation indicators include precision,expansibility,invertibility and uniqueness,which imply the simulation ability for various requirements.Experiment has verified the feasibility,necessity and validity of the indicators,and investigated affects of geometrical conditions and transformation methods on the indicators.At last,it is pointed out that some methods to improve geometrical conditions,and the applicable condition for transformation methods with their performances on the indicators above.

关 键 词：坐标变换 信噪比 几何条件 变换模型 可靠性 质量评价 

分 类 号：P282[天文地球—地图制图学与地理信息工程]