Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs
Identifieur interne : 001D19 ( Ncbi/Checkpoint ); précédent : 001D18; suivant : 001D20Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs
Auteurs : Aurora Cuartero ; Julia Armesto ; Pablo G. Rodríguez ; Pedro AriasSource :
- Sensors (Basel, Switzerland) [ 1424-8220 ] ; 2010.
Abstract
This paper presents a complete analysis of the positional errors of terrestrial laser scanning (TLS) data based on spherical statistics and 3D graphs. Spherical statistics are preferred because of the 3D vectorial nature of the spatial error. Error vectors have three metric elements (one module and two angles) that were analyzed by spherical statistics. A study case has been presented and discussed in detail. Errors were calculating using 53 check points (CP) and CP coordinates were measured by a digitizer with submillimetre accuracy. The positional accuracy was analyzed by both the conventional method (modular errors analysis) and the proposed method (angular errors analysis) by 3D graphics and numerical spherical statistics. Two packages in R programming language were performed to obtain graphics automatically. The results indicated that the proposed method is advantageous as it offers a more complete analysis of the positional accuracy, such as angular error component, uniformity of the vector distribution, error isotropy, and error, in addition the modular error component by linear statistics.
Url:
DOI: 10.3390/s101110128
PubMed: 22163461
PubMed Central: 3231027
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Pmc, to step Corpus: 002506
- to stream Pmc, to step Curation: 002506
- to stream Pmc, to step Checkpoint: 001E96
- to stream Ncbi, to step Merge: 001D19
- to stream Ncbi, to step Curation: 001D19
Links to Exploration step
PMC:3231027Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en">Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs</title><author><name sortKey="Cuartero, Aurora" sort="Cuartero, Aurora" uniqKey="Cuartero A" first="Aurora" last="Cuartero">Aurora Cuartero</name><affiliation><nlm:aff id="af1-sensors-10-10128"> Polytechnic School, University of Extremadura, 10071 Cáceres, Spain; E-Mail:<email>pablogr@unex.es</email> (P.G.-R.)</nlm:aff></affiliation></author><author><name sortKey="Armesto, Julia" sort="Armesto, Julia" uniqKey="Armesto J" first="Julia" last="Armesto">Julia Armesto</name><affiliation><nlm:aff id="af2-sensors-10-10128"> Mining Engineering School, University of Vigo, 36310 Vigo, Spain; E-Mails:<email>julia@uvigo.es</email> (J.A.);<email>parias@uvigo.es</email> (P.A.)</nlm:aff></affiliation></author><author><name sortKey="Rodriguez, Pablo G" sort="Rodriguez, Pablo G" uniqKey="Rodriguez P" first="Pablo G." last="Rodríguez">Pablo G. Rodríguez</name><affiliation><nlm:aff id="af1-sensors-10-10128"> Polytechnic School, University of Extremadura, 10071 Cáceres, Spain; E-Mail:<email>pablogr@unex.es</email> (P.G.-R.)</nlm:aff></affiliation></author><author><name sortKey="Arias, Pedro" sort="Arias, Pedro" uniqKey="Arias P" first="Pedro" last="Arias">Pedro Arias</name><affiliation><nlm:aff id="af2-sensors-10-10128"> Mining Engineering School, University of Vigo, 36310 Vigo, Spain; E-Mails:<email>julia@uvigo.es</email> (J.A.);<email>parias@uvigo.es</email> (P.A.)</nlm:aff></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">PMC</idno><idno type="pmid">22163461</idno><idno type="pmc">3231027</idno><idno type="url">http://www.ncbi.nlm.nih.gov/pmc/articles/PMC3231027</idno><idno type="RBID">PMC:3231027</idno><idno type="doi">10.3390/s101110128</idno><date when="2010">2010</date><idno type="wicri:Area/Pmc/Corpus">002506</idno><idno type="wicri:Area/Pmc/Curation">002506</idno><idno type="wicri:Area/Pmc/Checkpoint">001E96</idno><idno type="wicri:Area/Ncbi/Merge">001D19</idno><idno type="wicri:Area/Ncbi/Curation">001D19</idno><idno type="wicri:Area/Ncbi/Checkpoint">001D19</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a" type="main">Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs</title><author><name sortKey="Cuartero, Aurora" sort="Cuartero, Aurora" uniqKey="Cuartero A" first="Aurora" last="Cuartero">Aurora Cuartero</name><affiliation><nlm:aff id="af1-sensors-10-10128"> Polytechnic School, University of Extremadura, 10071 Cáceres, Spain; E-Mail:<email>pablogr@unex.es</email> (P.G.-R.)</nlm:aff></affiliation></author><author><name sortKey="Armesto, Julia" sort="Armesto, Julia" uniqKey="Armesto J" first="Julia" last="Armesto">Julia Armesto</name><affiliation><nlm:aff id="af2-sensors-10-10128"> Mining Engineering School, University of Vigo, 36310 Vigo, Spain; E-Mails:<email>julia@uvigo.es</email> (J.A.);<email>parias@uvigo.es</email> (P.A.)</nlm:aff></affiliation></author><author><name sortKey="Rodriguez, Pablo G" sort="Rodriguez, Pablo G" uniqKey="Rodriguez P" first="Pablo G." last="Rodríguez">Pablo G. Rodríguez</name><affiliation><nlm:aff id="af1-sensors-10-10128"> Polytechnic School, University of Extremadura, 10071 Cáceres, Spain; E-Mail:<email>pablogr@unex.es</email> (P.G.-R.)</nlm:aff></affiliation></author><author><name sortKey="Arias, Pedro" sort="Arias, Pedro" uniqKey="Arias P" first="Pedro" last="Arias">Pedro Arias</name><affiliation><nlm:aff id="af2-sensors-10-10128"> Mining Engineering School, University of Vigo, 36310 Vigo, Spain; E-Mails:<email>julia@uvigo.es</email> (J.A.);<email>parias@uvigo.es</email> (P.A.)</nlm:aff></affiliation></author></analytic><series><title level="j">Sensors (Basel, Switzerland)</title><idno type="eISSN">1424-8220</idno><imprint><date when="2010">2010</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>This paper presents a complete analysis of the positional errors of terrestrial laser scanning (TLS) data based on spherical statistics and 3D graphs. Spherical statistics are preferred because of the 3D vectorial nature of the spatial error. Error vectors have three metric elements (one module and two angles) that were analyzed by spherical statistics. A study case has been presented and discussed in detail. Errors were calculating using 53 check points (CP) and CP coordinates were measured by a digitizer with submillimetre accuracy. The positional accuracy was analyzed by both the conventional method (modular errors analysis) and the proposed method (angular errors analysis) by 3D graphics and numerical spherical statistics. Two packages in R programming language were performed to obtain graphics automatically. The results indicated that the proposed method is advantageous as it offers a more complete analysis of the positional accuracy, such as angular error component, uniformity of the vector distribution, error isotropy, and error, in addition the modular error component by linear statistics.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct><analytic><author><name sortKey="Majid, Z" uniqKey="Majid Z">Z Majid</name></author><author><name sortKey="Chong, Ak" uniqKey="Chong A">AK Chong</name></author><author><name sortKey="Ahmad, A" uniqKey="Ahmad A">A Ahmad</name></author><author><name sortKey="Setan, H" uniqKey="Setan H">H Setan</name></author><author><name sortKey="Samsudin, Ar" uniqKey="Samsudin A">AR Samsudin</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kiraly, G" uniqKey="Kiraly G">G Király</name></author><author><name sortKey="Brolly, G" uniqKey="Brolly G">G Brolly</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Olsen, Mj" uniqKey="Olsen M">MJ Olsen</name></author><author><name sortKey="Johnstone, E" uniqKey="Johnstone E">E Johnstone</name></author><author><name sortKey="Driscoll, N" uniqKey="Driscoll N">N Driscoll</name></author><author><name sortKey="Ashford, Sa" uniqKey="Ashford S">SA Ashford</name></author><author><name sortKey="Kuester, F" uniqKey="Kuester F">F Kuester</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Schwalbe, E" uniqKey="Schwalbe E">E Schwalbe</name></author><author><name sortKey="Maas, Hg" uniqKey="Maas H">HG Maas</name></author><author><name sortKey="Dietrich, R" uniqKey="Dietrich R">R Dietrich</name></author><author><name sortKey="Ewert, H" uniqKey="Ewert H">H Ewert</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Armesto, J" uniqKey="Armesto J">J Armesto</name></author><author><name sortKey="Ord Ez, C" uniqKey="Ord Ez C">C Ordóñez</name></author><author><name sortKey="Alejano, L" uniqKey="Alejano L">L Alejano</name></author><author><name sortKey="Arias, P" uniqKey="Arias P">P Arias</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lubowiecka, I" uniqKey="Lubowiecka I">I Lubowiecka</name></author><author><name sortKey="Armesto, J" uniqKey="Armesto J">J Armesto</name></author><author><name sortKey="Arias, P" uniqKey="Arias P">P Arias</name></author><author><name sortKey="Lorenzo, H" uniqKey="Lorenzo H">H Lorenzo</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Armesto, J" uniqKey="Armesto J">J Armesto</name></author><author><name sortKey="Roca Pardi As, J" uniqKey="Roca Pardi As J">J Roca-Pardiñas</name></author><author><name sortKey="Lorenzo, H" uniqKey="Lorenzo H">H Lorenzo</name></author><author><name sortKey="Arias, P" uniqKey="Arias P">P Arias</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Arias, P" uniqKey="Arias P">P Arias</name></author><author><name sortKey="Armesto, J" uniqKey="Armesto J">J Armesto</name></author><author><name sortKey="Lorenzo, H" uniqKey="Lorenzo H">H Lorenzo</name></author><author><name sortKey="Ord Ez, C" uniqKey="Ord Ez C">C Ordóñez</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Alshawabkeh, Y" uniqKey="Alshawabkeh Y">Y Alshawabkeh</name></author><author><name sortKey="Haala, N" uniqKey="Haala N">N Haala</name></author><author><name sortKey="Fritsch, D" uniqKey="Fritsch D">D Fritsch</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Gonzalez Aguilera, D" uniqKey="Gonzalez Aguilera D">D González-Aguilera</name></author><author><name sortKey="Mu Oz Nieto, A" uniqKey="Mu Oz Nieto A">A Muñoz-Nieto</name></author><author><name sortKey="G Mez Lahoz, J" uniqKey="G Mez Lahoz J">J Gómez-Lahoz</name></author><author><name sortKey="Herrero Pascual, J" uniqKey="Herrero Pascual J">J Herrero-Pascual</name></author><author><name sortKey="Gutierrez Alonso, G" uniqKey="Gutierrez Alonso G">G Gutierrez-Alonso</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Vosselman, G" uniqKey="Vosselman G">G Vosselman</name></author><author><name sortKey="Maas, Hg" uniqKey="Maas H">HG Maas</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lemmens, M" uniqKey="Lemmens M">M Lemmens</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Cheok, Gs" uniqKey="Cheok G">GS Cheok</name></author><author><name sortKey="Stone, Wc" uniqKey="Stone W">WC Stone</name></author><author><name sortKey="Lytle, A" uniqKey="Lytle A">A Lytle</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Rothweiler, M" uniqKey="Rothweiler M">M Rothweiler</name></author><author><name sortKey="Schimid, L" uniqKey="Schimid L">L Schimid</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Gottwald, R" uniqKey="Gottwald R">R Gottwald</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Staiger, R" uniqKey="Staiger R">R Staiger</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Boehler, W" uniqKey="Boehler W">W Boehler</name></author><author><name sortKey="Bordas Vicent, M" uniqKey="Bordas Vicent M">M Bordas-Vicent</name></author><author><name sortKey="Marbs, A" uniqKey="Marbs A">A Marbs</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lichti, D" uniqKey="Lichti D">D Lichti</name></author><author><name sortKey="Stewart, M" uniqKey="Stewart M">M Stewart</name></author><author><name sortKey="Tsakiri, M" uniqKey="Tsakiri M">M Tsakiri</name></author><author><name sortKey="Snow, A" uniqKey="Snow A">A Snow</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lichti, D" uniqKey="Lichti D">D Lichti</name></author><author><name sortKey="Stewart, M" uniqKey="Stewart M">M Stewart</name></author><author><name sortKey="Tsakiri, M" uniqKey="Tsakiri M">M Tsakiri</name></author><author><name sortKey="Snow, A" uniqKey="Snow A">A Snow</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Kersten, T" uniqKey="Kersten T">T Kersten</name></author><author><name sortKey="Sternberg, H" uniqKey="Sternberg H">H Sternberg</name></author><author><name sortKey="Mechelke, K" uniqKey="Mechelke K">K Mechelke</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Johansson, M" uniqKey="Johansson M">M Johansson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lichti, D" uniqKey="Lichti D">D Lichti</name></author><author><name sortKey="Gordon, Sj" uniqKey="Gordon S">SJ Gordon</name></author><author><name sortKey="Stewart, Mp" uniqKey="Stewart M">MP Stewart</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Reshetyuk, Y" uniqKey="Reshetyuk Y">Y Reshetyuk</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Ingensand, H" uniqKey="Ingensand H">H Ingensand</name></author><author><name sortKey="Ryf, A" uniqKey="Ryf A">A Ryf</name></author><author><name sortKey="Schulz, T" uniqKey="Schulz T">T Schulz</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Mechelke, K" uniqKey="Mechelke K">K Mechelke</name></author><author><name sortKey="Kersten, Tp" uniqKey="Kersten T">TP Kersten</name></author><author><name sortKey="Lindstaedt, M" uniqKey="Lindstaedt M">M Lindstaedt</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lichti, D" uniqKey="Lichti D">D Lichti</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Schneider, D" uniqKey="Schneider D">D Schneider</name></author></analytic></biblStruct><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Millar, Sws" uniqKey="Millar S">SWS Millar</name></author><author><name sortKey="Nelson, Fe" uniqKey="Nelson F">FE Nelson</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Resor, Pg" uniqKey="Resor P">PG Resor</name></author><author><name sortKey="Meer, Ve" uniqKey="Meer V">VE Meer</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Allen, Tr" uniqKey="Allen T">TR Allen</name></author><author><name sortKey="Kupfer, Ja" uniqKey="Kupfer J">JA Kupfer</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Hodges, Ki" uniqKey="Hodges K">KI Hodges</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Enkin, Rj" uniqKey="Enkin R">RJ Enkin</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Mammasis, K" uniqKey="Mammasis K">K Mammasis</name></author><author><name sortKey="Pfann, E" uniqKey="Pfann E">E Pfann</name></author><author><name sortKey="Stewart, Rw" uniqKey="Stewart R">RW Stewart</name></author><author><name sortKey="Freeland, G" uniqKey="Freeland G">G Freeland</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Butwill, M" uniqKey="Butwill M">M Butwill</name></author><author><name sortKey="Turvey, Mt" uniqKey="Turvey M">MT Turvey</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Fisher, Ra" uniqKey="Fisher R">RA Fisher</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Fisher, Ni" uniqKey="Fisher N">NI Fisher</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Fisher, Ni" uniqKey="Fisher N">NI Fisher</name></author><author><name sortKey="Lewis, T" uniqKey="Lewis T">T Lewis</name></author><author><name sortKey="Embleton, Bjj" uniqKey="Embleton B">BJJ Embleton</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Beran, Rj" uniqKey="Beran R">RJ Beran</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Gine, Em" uniqKey="Gine E">EM Giné</name></author></analytic></biblStruct><biblStruct></biblStruct></listBibl></div1></back></TEI><affiliations><list></list><tree><noCountry><name sortKey="Arias, Pedro" sort="Arias, Pedro" uniqKey="Arias P" first="Pedro" last="Arias">Pedro Arias</name><name sortKey="Armesto, Julia" sort="Armesto, Julia" uniqKey="Armesto J" first="Julia" last="Armesto">Julia Armesto</name><name sortKey="Cuartero, Aurora" sort="Cuartero, Aurora" uniqKey="Cuartero A" first="Aurora" last="Cuartero">Aurora Cuartero</name><name sortKey="Rodriguez, Pablo G" sort="Rodriguez, Pablo G" uniqKey="Rodriguez P" first="Pablo G." last="Rodríguez">Pablo G. Rodríguez</name></noCountry></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Ticri/CIDE/explor/HapticV1/Data/Ncbi/Checkpoint
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 001D19 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Ncbi/Checkpoint/biblio.hfd -nk 001D19 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Ticri/CIDE
|area= HapticV1
|flux= Ncbi
|étape= Checkpoint
|type= RBID
|clé= PMC:3231027
|texte= Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs
}}
Pour générer des pages wiki
HfdIndexSelect -h $EXPLOR_AREA/Data/Ncbi/Checkpoint/RBID.i -Sk "pubmed:22163461" \
| HfdSelect -Kh $EXPLOR_AREA/Data/Ncbi/Checkpoint/biblio.hfd \
| NlmPubMed2Wicri -a HapticV1
| This area was generated with Dilib version V0.6.23. |  |