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A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain
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Zeitschriftentitel: | IOP Conference Series: Earth and Environmental Science |
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Personen und Körperschaften: | , , |
In: | IOP Conference Series: Earth and Environmental Science, 513, 2020, 1, S. 012045 |
Format: | E-Article |
Sprache: | Unbestimmt |
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IOP Publishing
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Schlagwörter: |
author_facet |
Qin, Jian Guo, Jinyun Xu, Xiaofei Qin, Jian Guo, Jinyun Xu, Xiaofei |
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author |
Qin, Jian Guo, Jinyun Xu, Xiaofei |
spellingShingle |
Qin, Jian Guo, Jinyun Xu, Xiaofei IOP Conference Series: Earth and Environmental Science A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain General Medicine |
author_sort |
qin, jian |
spelling |
Qin, Jian Guo, Jinyun Xu, Xiaofei 1755-1307 1755-1315 IOP Publishing General Medicine http://dx.doi.org/10.1088/1755-1315/513/1/012045 <jats:title>Abstract</jats:title> <jats:p>A new method for calculating three-dimensional (3D) coordinate transformation parameters of large Euler angles with closure constrain is presented. This method obtains the initial value by traditional seven-parameter model. Then we derive the closure constraint condition and linearize it. The constrained total least-squares (CTLS) approach is adopted to obtain corrected values under the closure constraint condition. A practical case study is presented to illustrate the effectiveness of this new model.</jats:p> A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain IOP Conference Series: Earth and Environmental Science |
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10.1088/1755-1315/513/1/012045 |
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2020 |
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IOP Publishing |
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IOP Conference Series: Earth and Environmental Science |
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title |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_unstemmed |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_full |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_fullStr |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_full_unstemmed |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_short |
A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_sort |
a total least squares solution to a 3d coordinate transformation parameters of large euler angles with closure constrain |
topic |
General Medicine |
url |
http://dx.doi.org/10.1088/1755-1315/513/1/012045 |
publishDate |
2020 |
physical |
012045 |
description |
<jats:title>Abstract</jats:title>
<jats:p>A new method for calculating three-dimensional (3D) coordinate transformation parameters of large Euler angles with closure constrain is presented. This method obtains the initial value by traditional seven-parameter model. Then we derive the closure constraint condition and linearize it. The constrained total least-squares (CTLS) approach is adopted to obtain corrected values under the closure constraint condition. A practical case study is presented to illustrate the effectiveness of this new model.</jats:p> |
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author | Qin, Jian, Guo, Jinyun, Xu, Xiaofei |
author_facet | Qin, Jian, Guo, Jinyun, Xu, Xiaofei, Qin, Jian, Guo, Jinyun, Xu, Xiaofei |
author_sort | qin, jian |
container_issue | 1 |
container_start_page | 0 |
container_title | IOP Conference Series: Earth and Environmental Science |
container_volume | 513 |
description | <jats:title>Abstract</jats:title> <jats:p>A new method for calculating three-dimensional (3D) coordinate transformation parameters of large Euler angles with closure constrain is presented. This method obtains the initial value by traditional seven-parameter model. Then we derive the closure constraint condition and linearize it. The constrained total least-squares (CTLS) approach is adopted to obtain corrected values under the closure constraint condition. A practical case study is presented to illustrate the effectiveness of this new model.</jats:p> |
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institution | DE-D275, DE-Bn3, DE-Brt1, DE-D161, DE-Zwi2, DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229 |
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spelling | Qin, Jian Guo, Jinyun Xu, Xiaofei 1755-1307 1755-1315 IOP Publishing General Medicine http://dx.doi.org/10.1088/1755-1315/513/1/012045 <jats:title>Abstract</jats:title> <jats:p>A new method for calculating three-dimensional (3D) coordinate transformation parameters of large Euler angles with closure constrain is presented. This method obtains the initial value by traditional seven-parameter model. Then we derive the closure constraint condition and linearize it. The constrained total least-squares (CTLS) approach is adopted to obtain corrected values under the closure constraint condition. A practical case study is presented to illustrate the effectiveness of this new model.</jats:p> A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain IOP Conference Series: Earth and Environmental Science |
spellingShingle | Qin, Jian, Guo, Jinyun, Xu, Xiaofei, IOP Conference Series: Earth and Environmental Science, A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain, General Medicine |
title | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_full | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_fullStr | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_full_unstemmed | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_short | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
title_sort | a total least squares solution to a 3d coordinate transformation parameters of large euler angles with closure constrain |
title_unstemmed | A total least squares solution to a 3D coordinate transformation parameters of large Euler angles with closure constrain |
topic | General Medicine |
url | http://dx.doi.org/10.1088/1755-1315/513/1/012045 |