Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning
The precision of target-based registration is related to the geometry distribution of targets, while the current method of setting the targets mainly depends on experience, and the impact is only evaluated qualitatively by the findings from empirical experiments and through simulations. In this pape...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-01-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/20/2/555 |
| _version_ | 1817993404409184256 |
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| author | Ronghua Yang Xiaolin Meng Zejun Xiang Yingmin Li Yangsheng You Huaien Zeng |
| author_facet | Ronghua Yang Xiaolin Meng Zejun Xiang Yingmin Li Yangsheng You Huaien Zeng |
| author_sort | Ronghua Yang |
| collection | DOAJ |
| description | The precision of target-based registration is related to the geometry distribution of targets, while the current method of setting the targets mainly depends on experience, and the impact is only evaluated qualitatively by the findings from empirical experiments and through simulations. In this paper, we propose a new quantitative evaluation model, which is comprised of the rotation dilution of precision (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, assessing the impact of targets’ geometry distribution on the rotation parameters) and the translation dilution of precision (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, assessing the impact of targets’ geometry distribution on the translation parameters). Here, the definitions and derivation of relevant formulas of the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> are given, the experience conclusions are theoretically proven by the model of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, and an accurate method for determining the optimal placement location of targets and the scanner is proposed by calculating the minimum value of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>. Furthermore, we can refer to the model (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>) as a unified model of the geometric distribution evaluation model, which includes the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> model in GPS. |
| first_indexed | 2024-04-14T01:39:22Z |
| format | Article |
| id | doaj.art-515dacacbb1e46b5b5d5db6177dfe092 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-14T01:39:22Z |
| publishDate | 2020-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-515dacacbb1e46b5b5d5db6177dfe0922022-12-22T02:19:49ZengMDPI AGSensors1424-82202020-01-0120255510.3390/s20020555s20020555Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser ScanningRonghua Yang0Xiaolin Meng1Zejun Xiang2Yingmin Li3Yangsheng You4Huaien Zeng5Key Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, ChinaNottingham Geospatial Institute, The University of Nottingham, Nottingham NG7 2TU, UKChongqing Survey Institute, Chongqing 401121, ChinaKey Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, ChinaKey Laboratory of New Technology for Construction of Cities in Mountain Area (Chongqing University), Ministry of Education, Chongqing 400045, ChinaHubei Key Laboratory of Intelligent Vision Based Monitoring for Hydroelectric Engineering, China Three Gorges University, Yichang 443002, ChinaThe precision of target-based registration is related to the geometry distribution of targets, while the current method of setting the targets mainly depends on experience, and the impact is only evaluated qualitatively by the findings from empirical experiments and through simulations. In this paper, we propose a new quantitative evaluation model, which is comprised of the rotation dilution of precision (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, assessing the impact of targets’ geometry distribution on the rotation parameters) and the translation dilution of precision (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, assessing the impact of targets’ geometry distribution on the translation parameters). Here, the definitions and derivation of relevant formulas of the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> are given, the experience conclusions are theoretically proven by the model of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>, and an accurate method for determining the optimal placement location of targets and the scanner is proposed by calculating the minimum value of <inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>. Furthermore, we can refer to the model (<inline-formula> <math display="inline"> <semantics> <mrow> <mi>r</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> and <inline-formula> <math display="inline"> <semantics> <mrow> <mi>t</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula>) as a unified model of the geometric distribution evaluation model, which includes the <inline-formula> <math display="inline"> <semantics> <mrow> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </semantics> </math> </inline-formula> model in GPS.https://www.mdpi.com/1424-8220/20/2/555terrestrial laser scanningtarget-based registrationtargets’ geometry distributionprecision of the registration |
| spellingShingle | Ronghua Yang Xiaolin Meng Zejun Xiang Yingmin Li Yangsheng You Huaien Zeng Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning Sensors terrestrial laser scanning target-based registration targets’ geometry distribution precision of the registration |
| title | Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning |
| title_full | Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning |
| title_fullStr | Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning |
| title_full_unstemmed | Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning |
| title_short | Establishment of a New Quantitative Evaluation Model of the Targets’ Geometry Distribution for Terrestrial Laser Scanning |
| title_sort | establishment of a new quantitative evaluation model of the targets geometry distribution for terrestrial laser scanning |
| topic | terrestrial laser scanning target-based registration targets’ geometry distribution precision of the registration |
| url | https://www.mdpi.com/1424-8220/20/2/555 |
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