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Influence of Control Points Configuration on the Mobile Laser Scanning Accuracy

Kalvoda, Petr; Nosek, Jakub; Kalvodová, Petra

Abstract

Mobile mapping systems (MMS) are becoming widely used in standard geodetic tasks more commonly in the last years. The paper is focused on the influence of control points (CPs) number and configuration on mobile laser scanning accuracy. The mobile laser scanning (MLS) data was acquired by MMS RIEGL VMX-450. The resulting point cloud was compared with two different reference data sets. The first reference data set consisted of a high-accuracy test point field (TPF) measured by a Trimble R8s GNSS system and a Trimble S8 HP total station. The second reference data set was a point cloud from terrestrial laser scanning (TLS) using two Faro Focus3D X 130 laser scanners. The coordinates of both reference data sets were determined with significantly higher accuracy than the coordinates of the tested MLS point cloud. The accuracy testing is based on coordinate differences between the reference data set and the tested MLS point cloud. There is a minimum number of 6-7 CPs in our scanned area (based on MLS trajectory length) to achieve the declared relative accuracy of trajectory positioning according to the RIEGL datasheet. We tested two types of ground control point (GCP) configurations for 7 GCPs, using TPF reference data. The first type is a trajectory-based CPs configuration, and the second is a geometry-based CPs configuration. The accuracy differences of the MLS point clouds with trajectory-based CPs configuration and geometry-based CPs configuration are not statistically significant. From a practical perspective, a geometry-based CPs configuration is more advantageous in the nonlinear type of urban area such as our one. The following analyzes are performed on geometry-based CPs configuration variants. We tested the influence of changing the location of two CPs from ground to roof. The effect of the vertical configuration of the CPs on the accuracy of the tested MLS point cloud has not been demonstrated. The effect of the number of control points on the accuracy of the MLS point cloud was also tested. In the overall statistics using TPF, the accuracy increases significantly with increasing the number of GCPs up to 6. This number corresponds to a requirement of the manufacturer. Although further increasing the number of CPs does not significantly increase the global accuracy, local accuracy improves with increasing the number of CPs up to 10 (average spacing 50 m) according to the comparison with the TLS reference point cloud. The accuracy test of the MLS point cloud was divided into the horizontal accuracy test on the facade data subset and the vertical accuracy test on the road data subset using the TLS reference point cloud. The results of this paper can help improve the efficiency and accuracy of the mobile mapping process in geodetic praxis. © Published under licence by IOP Publishing Ltd.

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Con en om his wo k may be used unde he e ms o heC ea i eCommonsA ibu ion 3.0 licence. Any u he dis ibu ion o his wo k mus main ain a ibu ion o he au ho (s) and he i le o he wo k, jou nal ci a ion and DOI. Published unde licence by IOP Publishing L d 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 1 In luence o Con ol Poin s Con igu a ion on he Mobile Lase Scanning Accu acy Pe Kal oda 1, Jakub Nosek 1, Pe a Kal odo a 1 1 B no Uni e si y o Technology, Ve e i 331/95, B no, Czech Republic kal oda.p@ u b .cz Abs ac . Mobile mapping sys ems (MMS) a e becoming widely used in s anda d geode ic asks mo e commonly in he las yea s. The pape is ocused on he in luence o con ol poin s (CPs) numbe and con igu a ion on mobile lase scanning accu acy. The mobile lase scanning (MLS) da a was acqui ed by MMS RIEGL VMX-450. The esul ing poin cloud was compa ed wi h wo di e en e e ence da a se s. The i s e e ence da a se consis ed o a high-accu acy es poin ield (TPF) measu ed by a T imble R8s GNSS sys em and a T imble S8 HP o al s a ion. The second e e ence da a se was a poin cloud om e es ial lase scanning (TLS) using wo Fa o Focus3D X 130 lase scanne s. The coo dina es o bo h e e ence da a se s we e de e mined wi h signi ican ly highe accu acy han he coo dina es o he es ed MLS poin cloud. The accu acy es ing is based on coo dina e di e ences be ween he e e ence da a se and he es ed MLS poin cloud. The e is a minimum numbe o 6–7 CPs in ou scanned a ea (based on MLS ajec o y leng h) o achie e he decla ed ela i e accu acy o ajec o y posi ioning acco ding o he RIEGL da ashee . We es ed wo ypes o g ound con ol poin (GCP) con igu a ions o 7 GCPs, using TPF e e ence da a. The i s ype is a ajec o y-based CPs con igu a ion, and he second is a geome y-based CPs con igu a ion. The accu acy di e ences o he MLS poin clouds wi h ajec o y-based CPs con igu a ion and geome y-based CPs con igu a ion a e no s a is ically signi ican . F om a p ac ical pe spec i e, a geome y-based CPs con igu a ion is mo e ad an ageous in he nonlinea ype o u ban a ea such as ou one. The ollowing analyzes a e pe o med on geome y-based CPs con igu a ion a ian s. We es ed he in luence o changing he loca ion o wo CPs om g ound o oo . The e ec o he e ical con igu a ion o he CPs on he accu acy o he es ed MLS poin cloud has no been demons a ed. The e ec o he numbe o con ol poin s on he accu acy o he MLS poin cloud was also es ed. In he o e all s a is ics using TPF, he accu acy inc eases signi ican ly wi h inc easing he numbe o GCPs up o 6. This numbe co esponds o a equi emen o he manu ac u e . Al hough u he inc easing he numbe o CPs does no signi ican ly inc ease he global accu acy, local accu acy imp o es wi h inc easing he numbe o CPs up o 10 (a e age spacing 50 m) acco ding o he compa ison wi h he TLS e e ence poin cloud. The accu acy es o he MLS poin cloud was di ided in o he ho izon al accu acy es on he açade da a subse and he e ical accu acy es on he oad da a subse using he TLS e e ence poin cloud. The esul s o his pape can help imp o e he e iciency and accu acy o he mobile mapping p ocess in geode ic p axis. 1. In oduc ion Mobile lase scanning (MLS) me hods ha e become widely used o cap u e accu a e 3D poin clouds o many applica ions, o example, u ban planning, 3D ci y modeling, ci il enginee ing, and oad su eying [1, 2, 3]. The geome ic accu acy o he inal p oduc is one o he undamen al p ope ies, 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 2 depends on a la ge numbe o ac o s. These ac o s a e he inpu da a accu acy, densi y, and he algo i hms used. The accu acy o MLS da a can be di ided in o absolu e and ela i e componen s, which co espond o he posi ioning subsys em and mapping subsys em o he mobile mapping sys em (MMS). The posi ioning subsys em uses an Ine ial Measu ing Uni (IMU), Global Na iga ion Sa elli e Sys em (GNSS), and Dis ance Measu emen Indica o s (DMIs) [4, 5]. The esul o GNSS, IMU, and DMI da a combina ion in a Kalman il e is Smoo hed Bes Es ima ed T ajec o y (SBET). The accu acy o SBET can be imp o ed by using con ol poin s (CPs) [6]. The mapping subsys em pe o ms he spa ial da a acquisi ion and ypically consis s o one o mo e LIDAR senso s and came as. Accu a e calib a ion o bo h subsys ems is a p e equisi e o accu a e geo e e enced LIDAR da a. Many au ho s ha e in es iga ed me hods o assessing and imp o ing he accu acy o MMS da a. The geome ic accu acy o he esul ing poin clouds is commonly imp o ed by using signalized CPs [7] obse ed in mul iple MMS passes [8, 9]. Inc easing he numbe o CPs leads o mo e di icul p ocesses and cos s. The aim is o minimize he numbe o con ol poin s o maximizing he e iciency o lase scanning and pho og amme y p ocesses [10]. Independen quan i ica ion o e o s is ealized using check poin s ( alida ion poin s) [9, 11]. Fo his pu pose, a es poin ield (TPF) can be c ea ed in he u ban e e ence a ea, h ough which he MMS can be d i en. To ensu e he necessa y eliabili y o he esul ing s a is ics, he TPF mus ha e a su icien densi y and a su icien ly high numbe o es poin s. The ad an age o TPF-based accu acy es ing is he abili y o de e mine he coo dina es o signaled check poin s wi h high accu acy. Howe e , TPF-based accu acy es ing may su e om he signi ican dispa i y in da a densi y be ween he MLS and he independen ly su eyed poin s. A dense e e ence poin cloud can be used o accu acy es ing o MLS as a a ian o TPF. The accu acy o he e e ence poin cloud should be highe han he accu acy o he es ed MLS poin cloud. The e e ence poin cloud is usually acqui ed by s a ic e es ial lase scanning (TLS). The accu acy es s o MLS da a can be based on a compa ison o TLS poin cloud wi h MLS poin cloud, and he me hods used o compa ison can a y. The TLS-based app oach does no su e om poo densi y and allows a be e local e o s e alua ion o he es ed poin cloud. The disad an age o he TLS-based app oach may be a la ge amoun o e e ence da a and lowe accu acy compa ed o he TPF-based app oach. Kaa inen e al. [12] es ed i e MMSs a 1700 m o he oad en i onmen . They quan i y ho izon al and e ical accu acy using independen ly su eyed poin ea u es ( e e ence objec s) like poles, cu b co ne s, and building co ne s ex ac ed om he poin cloud. The e ical accu acy was be e han ±35 mm up o a ange o 35 m (wi h all p o essional sys ems co ec ly calib a ed). The bes sys em had a ho izon al accu acy o ±25 mm, e en wi h a ange o 45 m, and e ical accu acy o ±1–2 cm wi h a ange o 35 m. Xu e al. [13] use o assess accu acy 45 con ol poin s and app oxima ely 90 ob ious ea u e poin s (such as building and window co ne s, poles, and a ic signs) in he TPF (app ox. a ea size 1700 m × 550 m). Thei TPF accu acy is in he o de o cen ime e s, and he esul ing accu acy o es ed da a is app ox. ±2 decime e s. Johnson e al. [9] in hei manual o MLS epo wo es poin s wi h checkpoin s, an u ban es si e, and a u al highway es si e o es he MMS pe o mance o ou comme cial endo s. The accu acy o ou MMS is es ed wi h signalized con ol poin s and TLS e e ence da a. Accu acies ob ained by design-g ade mobile mapping sys ems did no exceed ±80 mm in ho izon al componen and 50 mm in e ical componen (a he 95% p obabili y le el). 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 3 F yskowska and W óblewski [14] also use TLS e e ence da a o accu acy es ing o an MMS. Thei assessmen is pe o med using he leng hs o building ea u es (e.g., oo edges) and 395 check poin s. They analyzed poin clouds in e ms o objec iden i ica ion and geome ic po en ial (in many objec classes). The o e all ho izon al accu acy o he MLS poin cloud was ±60 mm, and he o e all e ical accu acy was ±42 mm. The pe cen age dis ibu ion o he e o s is also es ed. This pape aims o de e mine he in luence o CPs numbe and con igu a ion on mobile lase scanning local and global accu acy. In con as o o he wo ks, o es ing, we use high-accu acy TPF, which has se e al imes highe accu acy (±1.6 mm in ho izon al and ±1.4 mm in e ical componen ) han he es ed MLS poin cloud wi h he e e ence TLS poin cloud. 2. MMS desc ip ion The MMS RIEGL VMX-450 ( able 1) in eg a es wo RIEGL VQ-450 lase scanne s, a modula VMX- 450-CS6 came a sys em wi h ou indus ial came as, POINT GREY Ladybug5 sphe ical came a imaging sys em, GNSS/IMU na iga ion ha dwa e, dis ance measu emen uni VMX-450-DMI, and a po able con ol uni VMX-450-CU. Table 1. RIEGL VMX-450 echnical cha ac e is ics [7]. Senso P ope y name P ope y alue VQ-450 Measu ing p inciple Time o Fligh Max. measu emen a e 1.1 MHz (2×0.55 MHz), ρ ≥ 10 % up o 140 m Scan a e (selec able) up o 400 lines/sec Accu acy 8 mm, 1σ @ 50 m ange P ecision 5 mm, 1σ @ 50 m ange IMU/GNSS Absolu e posi ion accu acy 0.02–0.05 m, 1σ Rela i e posi ion accu acy 0.01 m, 1σ (wi h a CPs spacing <100 m) Roll and pi ch accu acy 0.005°, 1σ Yaw (heading) accu acy 0.015°, 1σ RIEGL de ines he accu acy in he da ashee [15] as a deg ee o con o mi y o measu ed quan i y o i s ue alue in he VQ-450 sec ion o able 1. The p ecision RIEGL de ines in da ashee [15] as epea abili y ( he deg ee o which u he measu emen s show he same esul ). Values in he IMU/GNSS sec ion o able 1 a e alid i he ollowing condi ions a e ul illed: no GNSS ou ages, DMI op ion, and pos -p ocessed using base s a ion da a. The ela i e posi ion accu acy alue in he IMU/GNSS sec ion o Table 1 is alid wi h a CPs spacing o less han 100 m. 3. Re e ence da ase s Two di e en e e ence da a se s we e used o accu acy es ing (TPF, TLS). The i s e e ence da a se consis ed o a high-accu acy es poin ield (TPF) measu ed by a T imble R8s GNSS sys em and a T imble S8 HP o al s a ion. The second e e ence da a se was a poin cloud om e es ial lase scanning (TLS) using wo Fa o Focus3D X 130 lase scanne s. Iden i iabili y o he poin s is an essen ial p ope y o esul ing accu acy. We can dis inguish wo ypes o poin iden i ica ion e o s o ou pu poses. The i s ype is an e o o iden i ica ion in eal-wo ld and he second ype is an e o o iden i ica ion in poin clouds. The esul ing poin coo dina es e o consis s o he iden i ica ion e o and used coo dina e de e mina ion me hod e o . Fo example, he e o o a poin de e mined by a o al s a ion is a ec ed by a poin iden i ica ion e o in he eal wo ld. The e o o a poin measu ed om a poin cloud is a ec ed by a poin iden i ica ion e o in a poin cloud. 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 4 In his pape , we ocus on he e o s o he me hod used. In he case o a TLS da ase , he cloud- o- cloud compa ison me hod elimina es he e o om iden i ying poin s. In he case o TPF, we used signaling a ge s o minimize he impac o iden i ica ion e o s. The TPF was c ea ed wi hin he acul y esea ch p ojec FAST-S-19-5704 “Geome ic accu acy o mobile mapping sys ems” o in e nal g an sys em o B no Uni e si y o Technology (BUT) in he a ea o Ad anced Ma e ials, S uc u es and Technologies (AdMaS) esea ch cen e. The TPF consis s o 214 poin s signalized and s abilized using checke boa d a ge s. Ho izon al a ge s (119) we e ma ked by whi e colo on asphal oadways ( igu e 1). The e ical a ge s (95) we e made o aluminum shee s ( igu e 1). Ve ical a ge s we e placed on buildings, e ical a ic signs, conc e e pilla s, and o he sui able e ical s uc u es. The a ge s on he buildings we e placed in wo heigh le els abo e he g ound: 2 m, 10 m. Figu e 1. Tes poin ield (le ), checke boa d a ge s (middle and igh ) The geode ic ne wo k and he es poin ield we e measu ed wi h high accu acy. T imble S8 HP o al s a ion and T imble R8s GNSS sys em we e used. Fi s ly, a pu pose-buil geode ic ne wo k was c ea ed. Secondly, es ield poin s we e de e mined. The coo dina es o he es ield poin s we e calcula ed by he geode ic ne wo k leas -squa es adjus men wi h a combina ion o GNSS and e es ial measu emen s. The Eu opean Te es ial Re e ence Sys em 89 (ETRS89) and Eu opean Te es ial Re e ence F ame 2000 (ETRF2000) we e used [16]. The minimum-cons ained ne wo k adjus men was used o compu ing o geode ic ne wo k. Inpu da a in adjus men was pola coo dina es measu ed by he o al s a ion and coo dina es o ou poin s de e mined by he s a ic GNSS me hod. The cons ained ne wo k adjus men was used o compu ing o es ield a ached o ixed poin s ( he geode ic ne wo k). The o e all accu acy o he es ield de e mined by adjus men can be exp essed as he es ima e o he 3D s anda d de ia ion s3D = ±2.0 mm. The es ima es o ho izon al, e ical, and 3D s anda d de ia ions (sHz, sV, and s3D) o bo h e e ence da ase s a e in able 2. Table 2. Accu acy o e e ence da ase s ho izon al sHz e ical sV 3D s3D TPF ±1.6 mm ±1.4 mm ±2.0 mm TLS poin cloud ±7.4 mm ±4.1 mm ±8.5 mm The TPF alues we e ob ained om he leas -squa es adjus men , while he TLS poin cloud alues we e ob ained om he di e ences be ween he e e ence coo dina es o he TPF poin s and hei coo dina es de e mined om he TLS poin cloud. The e o e he TLS poin cloud alues include e o s o TPF poin s iden i ica ion in he TLS poin cloud, so he eal accu acy o his da ase is sligh ly be e . 4. MMS da a acquisi ion and p ocessing MMS da a we e acqui ed by wo ehicle passes (in bo h di ec ions) 600 m long a a speed o 20 km/h. The scanned a ea dimensions a e app oxima e leng h 190 m, wid h 90 m, and heigh ange 20 m, 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 5 including buildings. Lase da a we e acqui ed a a equency o 1.1 MHz. The MMS ajec o y was calcula ed using Applanix POSPac. The GNSS Pos P ocessing Kinema ic me hod esul s we e e ined and smoo hed by a o wa d-backwa d Kalman il e using IMU and DMI da a. The p ocessing o MLS da a was pe o med in RIEGL RiPROCESS. RiPROCESS p ocessing consis s o da a con e sion, MLS poin clouds gene a ion, and ajec o y adjus men . In he i s s age, he MLS poin cloud was c ea ed based on he POSPac ajec o y. Fu he mo e, CPs and check poin s in he MLS poin cloud we e manually iden i ied. Mo e accu a e ajec o ies o di e en con igu a ions and CPs numbe s we e p ocessed using he RiPRECISION module based on co espondences be ween poin clouds and CPs. In his s ep, he ajec o ies can be e ined using CPs, which is essen ial, especially in en i onmen s wi h poo GNSS condi ions (e.g., u ban a eas). The esul ing poin clouds consis o wo pa ial poin clouds co esponding o wo ehicle passes and con ain mo e han 247,000,000 poin s wi h a densi y o abou 4 mm. Finally, MLS poin cloud il e ing is pe o med in he CloudCompa e 2.11 so wa e. 5. Accu acy e alua ion me hodology The accu acy e alua ion is based on a compa ison o he es ed MLS poin clouds a ian s wi h e e ence da ase s. TPF-based es ing uses he di e ences be ween he e e ence coo dina es o he TPF poin s and hei coo dina es de e mined om he MLS poin cloud. TLS-based es ing uses a compa ison o he TLS e e ence poin cloud wi h he MLS poin clouds in CloudCompa e 2.11 so wa e. The di e ences be ween he clouds we e es ima ed using he Cloud- o-Cloud Dis ance unc ion wi h local modeling using he Leas Squa es Plane [17]. The poin clouds we e di ided in o he açade da a subse and he oad da a subse in he TLS-based accu acy es ing. Ho izon al accu acy was es ed on a açade da a subse and e ical accu acy on a oad da a subse . The leng h o he selec ed açade is 80 m and he heigh 9 m. We use es ima es o ho izon al, e ical, and 3D s anda d de ia ions (68% con idence in e al) o accu acy cha ac e is ics. We es he ela i e numbe o s aggle s (α = 5 % c i ical alue) and ou lie s (α = 1 % c i ical alue) acco ding o [18]. The con ol poin s we e no used as check poin s o ensu e independen accu acy e alua ion. The e is a minimum numbe o 6–7 CPs in ou scanned a ea (based on MLS ajec o y leng h) o achie e he decla ed ela i e accu acy o ajec o y posi ioning acco ding o he RIEGL da ashee . The GNSS/IMU ela i e posi ioning unce ain y (±10 mm, 68% con idence in e al) is unde he condi ion o a CPs spacing <100 m. We es ed wo ypes o GCPs con igu a ions o 7 GCPs, using TPF e e ence da a. The i s ype is a ajec o y-based CPs con igu a ion, and he second is a geome y-based CPs con igu a ion. We es ed he s a is ical signi icance o accu acy di e ences o he MLS poin clouds wi h ajec o y-based CPs con igu a ion and geome y-based CPs con igu a ion using he F- es [19]. Also, he in luence o changing he loca ion o wo CPs om g ound o oo and he e ec o he numbe o CPs on he global accu acy o he MLS poin cloud was es ed using F- es . 6. Resul s The esul s a e di ided in o wo subsec ions acco ding o he used e e ence da ase . 6.1. TPF-based accu acy es The accu acy es ima es o ajec o y-based and geome y-based GCPs con igu a ions o 7 GCPs, using TPF e e ence da a, a e in able 3. The ela i e numbe s o s aggle s and ou lie s a e in able 4. The con igu a ions o GCPs (ma ked wi h ed do s) a e shown in igu e 2. 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 6 Table 3. TPF-based accu acy o ajec o y-based and geome y-based GCPs con igu a ions ho izon al sHz e ical sV 3D s3D T ajec o y-based (7 GCPs) ±18 mm ±8.1 mm ±20 mm Geome y-based (7 GCPs) ±16 mm ±8.6 mm ±19 mm Table 4. S aggle s and ou lie s o ajec o y-based and geome y-based GCPs con igu a ions ho izon al e ical 3D s aggle s ou lie s s aggle s ou lie s s aggle s ou lie s T ajec o y-based (7 GCPs) 0 % 0 % 1 % 4 % 0 % 0 % Geome y-based (7 GCPs) 1 % 0 % 3 % 3 % 0 % 0 % Figu e 2. O e iew o ajec o y-based (le ) and geome y-based ( igh ) GCPs con igu a ions The accu acy di e ences o he MLS poin clouds wi h ajec o y-based CPs con igu a ion and geome y-based CPs con igu a ion a e no s a is ically signi ican . F om a p ac ical pe spec i e, a geome y-based CPs con igu a ion is mo e ad an ageous in he nonlinea ype o u ban a ea such as ou one. The ollowing analyzes a e pe o med on geome y-based CPs con igu a ion a ian s. The e ec o changing he loca ion o wo CPs om he g ound o he oo is shown in able 5. Va ian s wi h only GCPs a e ma ked as g ound, and a ian s wi h wo GCPs eplaced by oo CPs a e called he oo . The con igu a ions o CPs a e shown in igu e 3. Table 5. TPF-based accu acy – in luence o wo GCPs eplacing by oo CPs ho izon al e ical 3D g ound oo g ound oo g ound oo 6 CPs ±16 mm ±17 mm ±8.2 mm ±9.0 mm ±18 mm ±19 mm 10 CPs ±15 mm ±15 mm ±8.2 mm ±9.1 mm ±17 mm ±17 mm Figu e 3. The con igu a ions o GCPs ( ed and blue) wi h g een oo CPs ( eplacing blue GCPs) 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 7 The maximum di e ence o s aggle s and ou lie s o g ound and oo a ian s is 2 %. The accu acy di e ences o he MLS poin clouds (g ound and oo CPs a ian s) a e no s a is ically signi ican . The e ec o changing he loca ion o wo CPs om he g ound o he oo on he accu acy o he es ed MLS poin cloud has no been demons a ed. The esul s o he TPF-based global accu acy es o a ious numbe s o GCPs ( ed do s) a e shown in able 6. The con igu a ions o CPs a e shown in igu e 4. Table 6. TPF-based accu acy – a ious numbe s o GCPs Check poin s numbe ho izon al sHz e ical sV 3D s3D 0 GCPs 204 ±36 mm ±127 mm ±130 mm 1 GCPs 203 ±26 mm ±42 mm ±59 mm 2 GCPs 202 ±32 mm ±43 mm ±64 mm 3 GCPs 201 ±18 mm ±33 mm ±49 mm 4 GCPs 200 ±17 mm ±59 mm ±59 mm 5 GCPs 199 ±20 mm ±37 mm ±51 mm 6 GCPs 198 ±16 mm ±30 mm ±48 mm 7 GCPs 197 ±16 mm ±30 mm ±46 mm 10 GCPs 194 ±15 mm ±32 mm ±46 mm 13 GCPs 191 ±14 mm ±34 mm ±43 mm Figu e 4 The con igu a ions o a ious numbe s o GCPs In he o e all s a is ics using TPF, he accu acy inc eases signi ican ly wi h inc easing he numbe o GCPs up o 6. This numbe co esponds o a equi emen o he manu ac u e (CPs spacing <100 m). The maximum di e ence o s aggle s and ou lie s o 6 GCPs and mo e GCPs a ian s is 1 %. Inc easing he numbe o CPs o e six does no signi ican ly inc ease global accu acy. 6.2. TLS-based accu acy es The esul s o he TLS-based es o he oad da a subse ( e ical accu acy) and he açade da a subse (ho izon al accu acy) a e in able 7. 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 8 Table 7. TLS-based accu acy – a ious numbe s o GCPs ho izon al sHz e ical sV 6 GCPs ±14 mm ±7.7 mm 7 GCPs ±14 mm ±7.4 mm 10 GCPs ±6.1 mm ±7.7 mm 13 GCPs ±5.9 mm ±7.9 mm The maximum ela i e numbe o s aggle s is 3 %, o ou lie s is 2 %. The di e ence o s aggle s and ou lie s o 6 GCPs and mo e GCPs a ian s is 0.5 %. Al hough inc easing he numbe o GCPs o e six does no signi ican ly inc ease he global accu acy, local accu acy imp o es wi h inc easing he numbe o CPs up o 10 (a e age spacing 50 m). This ac is e iden om he açade s a is ics in able 7 and he isualiza ions o he di e ences in igu e 5 and igu e 6 (poin s wi h di e ences > 20 mm a e ma ked in ed). Figu e 5. TLS-based es ing – oad da a subse ( e ical accu acy) Figu e 6. TLS-based es ing – açade da a subse (ho izon al accu acy), 6, 7, 10, and 13 GCPs subsequen ly 7 h Wo ld Mul idisciplina y Ea h Sciences Symposium (WMESS 2021) IOP Con . Se ies: Ea h and En i onmen al Science 906 (2021) 012091 IOP Publishing doi:10.1088/1755-1315/906/1/012091 9 7. Conclusions The use o CPs signi ican ly helps o inc ease he MLS accu acy, especially in en i onmen s wi h poo GNSS condi ions (e.g., u ban a eas). The e o e we es ed he in luence o CPs con igu a ion and numbe on he MLS poin cloud accu acy. The accu acy e alua ion is based on compa ison o he es ed MLS poin clouds a ian s wi h e e ence da ase s (TPF and TLS). The poin clouds we e di ided in o he açade and he oad da a subse s o TLS-based accu acy es ing. Ho izon al accu acy was es ed on a açade da a subse and e ical accu acy on a oad da a subse . The accu acy di e ences o he MLS poin clouds wi h ajec o y-based CPs con igu a ion and geome y-based CPs con igu a ion a e no s a is ically signi ican . F om a p ac ical pe spec i e, a geome y-based CPs con igu a ion is mo e ad an ageous in he nonlinea ype o u ban a ea such as ou one. Also, he e ec o changing he loca ion o wo CPs om he g ound o he oo on he accu acy o he es ed MLS poin cloud has no been demons a ed. In he o e all s a is ics using TPF, he accu acy inc eases signi ican ly wi h inc easing he numbe o GCPs up o 6. This numbe co esponds o a equi emen o he manu ac u e (GCPs spacing <100 m). Al hough inc easing he numbe o GCPs o e six does no signi ican ly inc ease he global accu acy, he esul s o he TLS-based accu acy es shows ha local accu acy imp o es wi h inc easing he numbe o CPs up o 10 (a e age spacing 50 m). The achie ed accu acy wi h a spacing o CPs 100 m is su icien o mos mapping pu poses. 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