To improve the positioning accuracy of circular scanning airborne laser bathymetry system, a calibration method is presented in this paper. When the laser points are collected by the bathymetry system on the level area, they should be on the same plane. However, they are not coplanar because of systematic error and random error. So we try to fit the points to a plane, which may help to adjust the errors and then correct the point location.Firstly, the circular scanning airborne laser bathymetry positioning model is derived in the simple mode. The intersection of laser line and sea surface is simulated depending on the mathematical principles of line and plane intersection. Combined with the direction vector of laser line in the water got by the refraction principle, the sea floor plane mathematical equation is used to compute the location of the laser points. Then, the parameter weighted least squares adjustment model is derived with the prior variance introduced, which lays the foundation for the following computing of calibration model. Finally, the calibration adjustment mathematic model and the detailed computing process are derived. The simulation computing and analysis for the calibration process is presented, and some meaningful conclusions for the calibration are achieved.
[1] 江月松.机载GPS、姿态和激光扫描测距集成定位系统的精确定位方程、误差分析与精度评估[J].遥感学报,2001,5(4):241-247.JIANG Yuesong.A Rigorous Positioning Equation and It's Error Analysis and Precision Evaluation for Integrated Positioning System of Airborne GPS,INS and Laser Scanning Ranging[J].Journal of Remote Sensing,2001,5(4):241-247.
[2] 翟国君,王克平,刘玉红.机载激光测深技术[J].海洋测绘,2014,34(2):72-75.ZHAI Guojun,WANG Keping,LIU Yuhong.Technology of Airborne Laser Bathymetry[J].Hydrographic Surveying and Charting,2014,34(2):72-75.
[3] 黄卫军,李松.基于表面回波的机载激光测深系统的最佳扫描方案[J].激光杂志,2001,22(6):54-56.HUANG Weijun,LI Song.The Perfect Scanning Configurations of Laser-based Airborne Hydrographic System[J].Laser Journal,2001,22(6):54-56.
[4] 任来平,赵俊生,翟国君,等.机载激光测深海面扫描轨迹计算与分析[J].武汉大学学报(信息科学版),2002,27(2):138-142.REN Laiping,ZHAO Junsheng,ZHAI Guojun,et al.Scanning-track Computation and Analysis for Airborne Laser Depth Sounding[J].Geomatics and Information Science of Wuhan University,2002,27(2):138-142.
[5] 王建军,刘吉东.影响机载激光扫描点云精度的测量误差因素分析及其影响大小排序[J].中国激光,2014,41(4):0414001.WANG Jianjun,LIU Jidong.Analysis and Sorting of Impacts of Measurement Errors on Positioning Accuracy of Laser Point Cloud Obtained from Airborne Laser Scanning[J].Chinese Journal of Lasers,2014,41(4):0414001
[6] 王丽英,宋伟东.机载LiDAR点云航带平差方法研究[J].武汉大学学报(信息科学版),2012,37(7):814-817.WANG Liying,SONG Weidong.Airborne LiDAR Point Cloud Strip Adjustment Method[J].Geomatics and Information Science of Wuhan University,2012,37(7):814-817.
[7] 王致华,张爱武,王书民,等.基于重叠航带的机载激光雷达系统检校[J].中国激光,2014,41(2):0214003.WANG Zhihua,ZHANG Aiwu,WANG Shumin,et al.Airborne Radar Calibration System Based on the Overlap Strip[J].Chinese Journal of Lasers,2014,41(2):0214003.
[8] 张靖,江万寿.基于虚拟连接点模型的机载LiDAR系统安置误差自检校[J].测绘学报,2011,40(6):762-769.ZHANG Jing,JIANG Wanshou.Self-calibration of LiDAR System Mounting Biases Using Virtual Tie Point Model[J].Acta Geodaetica et Cartographica Sinica,2011,40(6):762-769.
[9] 张靖,江万寿,姜三.基于虚拟点模型的机载LiDAR系统自动检校方法[J].测绘学报,2013,42(3):389-396.ZHANG Jing,JIANG Wanshou,JIANG San.Automated Airborne LiDAR System Calibration Using Virtual Tie Point Model[J].Acta Geodaetica et Cartographica Sinica,2013,42(3):389-396.
[10] HABIB A F,BANG K I,SHIN S W,et al.LiDAR System Self-calibration Using Planar Patches from Photogrammetric Data[C]//Proceedings of the Fifth International Symposium on Mobile Mapping Technology.Padua:[s.n.],2007.
[11] HABIB A F,AL-DURGHAM,M,KERSTING A P,et al.Error Budget of LiDAR Systems and Quality Control of the Derived Point Cloud[C]//Proceedings of the 21st International Archives of the Photogrammetry,Remote Sensing and Spatial Information Sciences.Beijing,China:ISPRS,2008:203-209.
[12] HABIB A F,KERSTING A P,RUIFANG Z,et al.LiDAR Strip Adjustment Using Conjugate Linear Features in Overlapping Strips[C]//Proceedings of the 21st International Archives of the Photogrammetry,Remote Sensing and Spatial Information Sciences.Beijing,China:ISPRS,2008:385-390.
[13] VOSSELMAN G,DIJKMAN S.3D Building Model Reconstruction from Point Clouds and Ground Plans[C]//Proceedings of the International Archives of the Photogrammetry and Remote Sensing.Annapolis,MD:ISPRS,2001:37-43.
[14] ALHARTHY A,BETHEL J.Detailed Building Reconstruction from Airborne Laser Data Using a Moving Surface Method[C]//Proceedings of the 17th International Archives of the Photogrammetry,Remote Sensing and Spatial Information Sciences.Istanbul,Turkey:ISPRS,2004:213-218.
[15] GLASSNER A S.An Introduction to Ray Tracing[M].London:Academic Press,1989:166-190.
[16] FRIESS P.Toward a Rigorous Methodology for Airborne Laser Mapping[C]//Proceedings of the International Calibration and Orientation Workshop.Castelldefels,Spain:[s.n.],2006:7-11.
[17] SKALOUD J,SCHAER P.Towards Automated LiDAR Boresight Self-calibration[C]//Proceedings of the 5th International Symposium on Mobile Mapping Technology.Padova:MMS,2007.
[18] CHANG Guobin.On Least-squares Solution to 3D Similarity Transformation Problem Under Gauss-Helmert Model[J].Journal of Geodesy,2015,89(6):573-576.
[19] FANG Xing.Weighted Total Least-squares with Constraints:A Universal Formula for Geodetic Symmetrical Transformations[J].Journal of Geodesy,2015,89(5):459-469.
[20] FANG Xing.A Total Least Squares Solution for Geodetic Datum Transformations[J].Acta Geodaetica et Geophysica,2014,49(2):189-207.
[21] TUELL G,BARBOR K,WOZENCRAFT J.Overview of the Coastal Zone Mapping and Imaging LiDAR (CZMIL):A New Multisensor Airborne Mapping System for the U.S.Army Corps of Engineers[C]//Proceedings of SPIE 7695,Algorithms and Technologies for Multispectral,Hyperspectral,and Ultraspectral Imagery XVI.Orlando,Florida:SPIE,2010:76950R.
[22] FUCHS E,TUELL G.Conceptual Design of the CZMIL Data Acquisition System (DAS):Integrating a New Bathymetric LiDAR with a Commercial Spectrometer and Metric Camera for Coastal Mapping Applications[C]//Proceedings of SPIE 7695,Algorithms and Technologies for Multispectral,Hyperspectral,and Ultraspectral Imagery XVI.Orlando,Florida:SPIE,2010:76950U.
[23] PARK J Y,TUELL G.Conceptual Design of the CZMIL Data Processing System (DPS):Algorithms and Software for Fusing LiDAR,Hyperspectral Data,and Digital Images[C]//Proceedings of SPIE 7695,Algorithms and Technologies for Multispectral,Hyperspectral,and Ultraspectral Imagery XVI.Orlando,Florida:SPIE,2010:7695010.