Plane fitting of point clouds based on weighted total least square
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Department of Geomatics Engineering, Nanjing University of Technology, Nanjing 210009, China;
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2.
School of Earth Sciences and Engineering, Hohai University, Nanjing 210098, China
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Corresponding author:
YUE Jianping, ghuac@163.com
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Received Date:
2013-07-19
Accepted Date:
2013-09-03
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Abstract
In order to improve the plane fitting precision of point cloud data, the intensity weighted total least square method was proposed. The method, based on the ordinary weighted total least square method, determined the weight value of plant fitting using the intensity information of each point in point cloud data. The application of the method was analyzed with three different homogenous data. Experimental results show that the method is effective for plane fitting of point clouds with good homogeneity, and more accurate solution can be obtained compared with total least squares method and least squares method. As for plane fitting of inhomogeneous point clouds, the total least squares method is superior to the proposed method.
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References
|
[1]
|
YU H X, WU K, AO J F, et al. Extraction of building's feature lines based on 3-D laser scanning technology[J]. Laser Technology,2012,36(4):553-556(in Chinese). |
|
[2]
|
QIU W N, TAO B Z, YAO Y B, et al. The theory and method of surveying data processing[M]. Wuhan: Wuhan University Press, 2008:161-175(in Chinese). |
|
[3]
|
GOLUB G H, van LOAN C F. An analysis of the total least squares problem [J].SIAM Journal on Numerical Analysis, 1980, 17(6): 883-893. |
|
[4]
|
van HUFFEL S, VANDEWALLE J. The total least squares problem: computational aspects and analysis [M]. Philadelphia,USA:Society for Industrial and Applied Mathematics, 1991:263-283. |
|
[5]
|
ZHOU Y J, DENG C H. Weighted and unweighted total least square methods and applications to heteroscedastic 3-D coordinate transformation[J]. Geomatics and Information Science of Wuhan University, 2012, 37(8):976-979(in Chinese). |
|
[6]
|
MARKOVSKY I, RASTELLO M, PREMOLI A,et al. The element-wise weighted total least-squares problem [J]. Computational Statistics and Data Analysis, 2006, 50(1):181-209. |
|
[7]
|
SCHAFFRIN B, WIESER A. On weighted total least-square adjustment for linear regression [J]. Journal of Geodesy,2008,82(7): 415-421. |
|
[8]
|
ZHANG Y. Research on point cloud processing of terrestrial laser scanning [D].Wuhan:Wuhan University, 2008: 43-47 (in Chinese). |
|
[9]
|
CHEN W X, CHEN Y, YUAN Q, et al. Application of weighted total least squares to target fitting of three-dimensional laser scanning [J]. Journal of Geodesy and Geodynamics, 2010, 30(5):90-96(in Chinese). |
|
[10]
|
YUAN Q,LOU L Z,CHEN W X. Appling weight total least-squares to the plane point cloud fitting of terrestrial laser scanning[J].Bulletin of Surveying and Mapping,2011(3):1-3(in Chinese). |
|
[11]
|
WANG J X, JI K M.Industrial surveying fitting [M]. Beijing: Surveying and Mapping Press,2007: 43-45(in Chinese). |
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