TY - JOUR
T1 - Total Least-Squares (TLS) for geodetic straight-line and plane adjustment
AU - Schaffrin, Burkhard
AU - Lee, Impyeong
AU - Choi, Yunsoo
AU - Felus, Yaron
N1 - Publisher Copyright:
© 2006, Istituto Geografico Militare. All rights reserved.
PY - 2006
Y1 - 2006
N2 - The adjustment of a straight line through a cloud of points is analyzed for the case where all coordinates are measured quantities and thus affected by random errors. The so-called Total Least-Squares Solution (TLSS) can then be obtained by solving the resulting non-linear normal equations via a newly developed iterative approximation algorithm or, equivalently, by following the smallest eigenvalue approach. After showing the superior performance of the TLS approach in the 2D-case, the procedure is extended to the 3D case where a plane is sought that best fits an observed point cloud. This procedure is implemented in surface reconstruction from a cloud of LIDAR points.
AB - The adjustment of a straight line through a cloud of points is analyzed for the case where all coordinates are measured quantities and thus affected by random errors. The so-called Total Least-Squares Solution (TLSS) can then be obtained by solving the resulting non-linear normal equations via a newly developed iterative approximation algorithm or, equivalently, by following the smallest eigenvalue approach. After showing the superior performance of the TLS approach in the 2D-case, the procedure is extended to the 3D case where a plane is sought that best fits an observed point cloud. This procedure is implemented in surface reconstruction from a cloud of LIDAR points.
KW - Errors-in-Variables models
KW - Line fitting
KW - Photogrammetric applications
KW - Three-dimensional plane fitting
KW - Total Least-Squares adjustment
UR - http://www.scopus.com/inward/record.url?scp=85050942208&partnerID=8YFLogxK
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AN - SCOPUS:85050942208
SN - 0006-6710
VL - 65
SP - 141
EP - 168
JO - Bollettino di Geodesia e Scienze Affini
JF - Bollettino di Geodesia e Scienze Affini
IS - 3
ER -