单站点云坐标转换参数的线性拟合解算方法Linear fitting method for calculateing parameters of coordinate-converting of single-station TLS point clouds
刘科利,姚吉利,马宁,贾象阳,曹俊茹
摘要(Abstract)：
针对三维坐标转换公式是非线性的,会造成在旋转角度任意大小时影响平差计算转换参数的问题,该文根据罗德里格矩阵的性质,建立坐标转换的线性拟合模型,计算6个拟合参数,并计算坐标转换参数。利用三维激光扫描仪获得物体形状信息后,需要将点云坐标系统转换成工程测量中使用的国家或地方坐标(指定坐标)系。多站实验后的数据分析表明,平面点位误差为21.27mm,高程中误差为18.96mm,证明此方法可靠有效。
关键词(KeyWords)： 扫描坐标系;指定坐标;线性拟合模型;平面点位中误差;高程中误差
基金项目(Foundation):
作者(Author): 刘科利,姚吉利,马宁,贾象阳,曹俊茹
DOI: 10.16251/j.cnki.1009-2307.2015.08.003
参考文献(References)：
- [1]DOLD C,BRENNER C.Registration of Terrestrial Laser Scanning Data Using Planar Patches and Image Data[J].IAPRS,XXXVI,2006,36(5):78-83.
- [2]朱凌.地面三维激光扫描标靶研究[J].激光杂志,2008,29(1):33-35.
- [3]LI N,CHENG P,SUTTON M A,et al.Three-dimensional Point Cloud Registration by Matching Surface Features with Relaxation Labeling Method[J].Experimental Mechanics,2005,45(1):71-82.
- [4]DRUON S,ALDON M J,CROSNIER A.Color Constrained ICP for Registration of Large Unstructured3DColor Data Sets[C]//Processing of the 2006IEEE International Conference on Information Acquisition.Weihai,2006:249-256.
- [5]MANDOW A,MARTNEZ J L,REINA A J,et al.Fast Range-independent Spherical Subsampling of 3D Laser Scanner Points and Data Reduction Performance Evaluation for Scene Registration[J].Pattern Recognition Letters,2010,31(11):1239-1250.
- [6]HUANG D,OUJI K,ARDABILIAN M,et al.3D Face Recognition Based on Local Shape Patterns and Sparse Representation Classifier[M]//Advances in Multimedia Modeling.Springer Berlin Heidelberg,2011:206-216.
- [7]BASDOGAN C,OZTIRELIA C.A New Feature-based Method for Robust and Efficient Rigid-body Registration of Overlapping Point Cloud[J].The Visual Computer,2008,24(7-9):679-688.
- [8]MENG Y,ZHANG H.Registration of Point Clouds Using Sample-sphere and Adaptive Distance Restriction[J].The Visual Computer,2011,27(6-8):543-553.
- [9]BARNEA S,FILIN S.Keypoint Based Autonomous Registration of Terrestrial Laser Point-clouds[J].ISPRS Journal of Photogrammetry&Remote Sensing,2008,63(1):19-35.
- [10]CASULA G,MORA P,BIANCHI M G.Detection of Terrain Morphologic Features Using GPS,TLS,and Land Surveys:“Tana della Volpe”Blind Valley Case Study[J].Journal of Surveying Engineering,2010,136(3):132-138.
- [11]LEMMENS M.Terrestrial Laser Scanning[M]//Geoinformation.Springer Netherlands,2011:101-121.
- [12]CASTELLANI U,BARTOLI A.3DImaging,Analysis and Applications(Chapter 6:3D Shape Registration)[M].London,2012.
- [13]JEO.3D Mapping and Localization Using Leveled Map Accelerated ICP[C]//European Robotics Symposium.Springer Berlin Heidelberg,2008:343-353.
- [14]姚吉利.3维坐标转换参数直接计算的严密公式[J].测绘通报,2006(5):7-9.
- [15]姚吉利,韩保民,杨元喜.罗德里格矩阵在三维坐标转换严密解算中的应用[J].武汉大学学报·信息科学版,2006,31(12):1094-1096.
- [16]罗德安,朱光,陆立,等.基于3维激光影像扫描技术的整体变形监测[J].测绘通报,2005(7):40-42.
- [17]姚吉利,刘科利,张磊,等.基于3D激光扫描的金属矿测量方法研究[J].金属矿山,2011(7):114-117.
- [18]姚吉利.三维坐标转换的静态滤波模型[J].武汉大学学报·信息科学版,2005,30(9):825-828.
- [19]杨元喜,徐天河.不同坐标系综合变换法[J].武汉大学学报·信息科学版,2001,26(6):509-512.