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Multi Sensor 6 DoF Localization For Aerial Robots In Complex GNSS Denied Environments J L Paneque J R Mart nez de Dios and A Ollero Abstract The need for robots autonomously navigating in more and more complex environments has motivated intense R a testing scenario near Seville see Fig 3 right namely Karting and at a road bridge see Fig 3 left namely Bridge The robot position ground truth in the Karting and ETSI scenarios was provided by the RKT GPS whereas in the Bridge scenario it is given by a Leica TotalStation The experiments were performed in a realistic way similarly to the envisioned Inspection and Maintenance I M operation in AEROARMS First a multi sensor map of the scenario was built in prior manually assisted fl ights Next a number of fl ights in fully autonomous navigation mode were performed and the proposed method computed pose estimations in real time using that map Figure 4 shows the results obtained in one bridge inspection experiment performed in December 2018 The robot 3D localization obtained with our method is shown in blue and the ground truth localization in magenta Only the geometrical compo nent of the map is shown for better visualization We compared our method to two of the most extended Fig 3 Pictures of the experiment scenarios left Karting and right Bridge 1982 Fig 4 Results in one bridge inspection experiment The fi gure shows the geometrical map component in green the localization obtained by our method in blue and the ground truth localization in magenta and publicly available localization techniques LOAM Lidar Odometry and Mapping 14 based on LIDAR and ORB SLAM2 Oriented FAST and rotated BRIEF SLAM2 2 based on camera We used the latest available codes of LOAM and ORB SLAM2 The LOAM code was modifi ed to properly use all 32 channels of our LIDAR ORB SLAM2 was used in stereo mode For better comparison the optional sensors IMU altimeter and UWB sensors were not inte grated in our method LOAM ORB SLAM2 and our method are all initialized with the take off pose of each fl ight ORB SLAM2 was used in localization mode with a precomputed map The measurements were logged and processed off line with the three methods Camera images were logged at 60Hz and LIDAR measurements at 10Hz Figure 5 shows the 3D localization errors versus ground truth in one Karting experiment The errors were generally low for all methods in the X axis but LOAM gave worse results during the beginning of the fl ight due to the lack of rich geometrical features when fl ying at low altitudes after take off LOAM and ORB SLAM2 were not accurate during mid fl ight since the robot was fl ying parallel to a pipe for performing inspection The multi modal solutions due to symmetries in the scenario made them loose accuracy For ORB SLAM2 the Z estimation is best when the robot is near to the ground at the end of the fl ight since there are rich visual features on the fl oor while LOAM gives better results for higher altitudes Our method provided low variability errors along the full fl ight The results obtained in the rest of experiments offered similar conclusions Table I shows the absolute translation RMS errors trms and maximum errors tmax in some experiments performed in the three scenarios All were performed in exactly the same conditions as stated before It has been noticed that while LOAM and ORB SLAM2 tend to give accurate results in many experiments at different times in the experiments they were affected by the lack of 020406080100 0 2 0 4 0 6 0 8 1 X error m Proposed method LOAM ORB SLAM2 020406080100 0 2 0 4 0 6 0 8 1 Y error m 020406080100 Time s 0 2 0 4 0 6 0 8 Z error m Fig 5 3D localization errors in the experiment in Fig 4 obtained by the proposed method LOAM and ORB SLAM2 features and by different scenario symmetries LOAM had most problems when landing and taking off and when fl ying near the bridge and the pipe for performing inspection ORB SLAM2 had most problems when visual features were very far from the robot which is a common problem in large scenarios such as in the Bridge experiments These situations affect their overall accuracy but mostly their error variability Our method takes advantage of the synergies of both sensors which in combination with the multi hypothesis framework lead to signifi cantly less variable solution Also our method assumes that a map with rich information is available and focuses only on the optimization of the robot pose C Analysis Our method uses visual and LIDAR features and can also integrate measurements from other frequently used sensors if available This section briefl y describes how integrating different sensors infl uence on the resulting accuracy and the computational burden The implementation with four sets of sensors is analysed S1 camera IMU altimeter S2 LIDAR IMU altimeter S3 LIDAR camera and S4 TABLE I COMPARISON WITH OTHER METHODS IN DIFFERENT SCENARIOS ORB SLAM2 2 LOAM 14 Our method Experimenttrmstmaxtrmstmaxtrmstmax m m m m m m Karting10 561 890 621 240 130 28 Karting20 180 720 310 850 110 19 Karting30 510 970 401 120 210 26 ETSI10 691 341 312 080 230 34 ETSI20 500 810 741 350 130 21 ETSI30 230 420 410 700 110 19 Bridge11 683 120 490 780 140 23 Bridge21 192 410 530 910 180 25 Bridge30 841 730 340 690 210 32 1983 TABLE II PERFORMANCE OF THE METHOD WITH DIFFERENT SENSOR SETUPS S1S2S3S4 Experimenttrmsuttrmsuttrmsuttrmsut m ms m ms m ms m ms Karting10 3960 34480 13550 0927 Karting20 2270 15510 11690 0631 Karting30 3460 35440 21610 1223 ETSI10 4680 62650 23730 1128 ETSI20 3760 51610 13910 0942 ETSI30 1870 24780 11850 0633 Bridge11 36110 18810 141570 1159 Bridge21 2790 43890 181750 1265 Bridge30 72120 29780 211470 0856 LIDAR camera IMU altimeter UWB Table II compares their performance focusing on the mean error and the com putational time in ms used in the Update stage ut which concentrates the most burden of our method The best accuracy is obtained in S3 and S4 which exploit the combination of LIDAR and camera features On the other hand the computational burden is signifi cantly higher in confi gurations S2 S4 than in S1 This is due to the presence of 3D LIDAR features whose iterative matching with the map is of great cost Burden is alleviated in S2 by using an altimeter and in S4 using all the optional sensors altimeter IMU and UWB S3 and S4 have similar errors but integrating the optional sensors signifi cantly reduces burden in S4 These measurements are used in Step1 of the Prediction stage to reject hypothesis with low likelihood and save burden in Stage2 Bridge experiments have the largest and most varied map the Update stage of S4 takes 60ms at most Even in these cases it is enough for our sensors frame rate Reducing the number of hypothesis or the number of employed features can reduce this time if necessary at the cost of accuracy VI CONCLUSIONS This work is motivated by aerial robots that need robust and accurate pose estimations for autonomous safe naviga tion in complex GNSS denied industrial and urban scenarios This paper presents a robust multi sensor multi hypothesis localization method It is based on three main ideas First it integrates camera and LIDAR features in the same statistical framework benefi ting from their synergies and improving ro bustness and accuracy in scenarios with low or varying den sities of features Second to cope with the potentially strong symmetries in the scenarios it adopts a multi hypothesis approach where the different hypotheses are updated using the consistency between the gathered measurements and a pre existing multi sensor map Third its computational burden has been carefully addressed to operate in real time using feature and hypothesis fi ltering effi cient hypothesis refi nement and codifi cation in a multi core implementation As many other robustness driven methods it assumes that a map of the scenario is available This approach is valid in the envisioned I M applications in which many fl ights are performed in the same moderate changing scenario The proposed method has been compared to other well known techniques and validated for closed loop aerial robot navigation in three different urban and industrial scenarios The integration of the next generation 3D solid state LI DARs with higher scan rates but signifi cantly lower fi elds of view opens interesting challenges to be researched Also the extension of the method to consider semantic information is expected to provide additional robustness These topics are object of current research ACKNOWLEDGMENTS This work was performed in the UE project AEROARMS H2020 ICT 2014 1 644271 and in ARM EXTEND funded by the Spanish R D plan DPI2017 89790 R The research of J L Paneque is supported by the Spanish Ministerio de Educaci on y Formaci on Profesional FPU Program REFERENCES 1 A Ollero et al The aeroarms project Aerial robots with advanced manipulation capabilities for inspection and maintenance IEEE Robotics and Automation Magazine vol 25 no 4 2018 2 R Mur Artal and J D Tardos ORB SLAM2 An Open Source SLAM System for Monocular Stereo and RGB D Cameras IEEE Transactions on Robotics 2017 3 S Kohlbrecher J Meyer O von Stryk and U Klingauf A fl exible and scalable slam system with full 3d motion estimation in IEEE Intl Symp on Safety Security and Rescue Robotics SSRR 2011 4 A Pumarola A Vakhitov A Agudo A Sanfeliu and F Moreno Noguer PL SLAM Real time monocular visual SLAM with points and lines in IEEE ICRA 2017 5 J Engel T Schops and D Cremers LSD SLAM Direct Monocular SLAM in European Conf on Computer Vision ECCV 2014 6 L Kneip M Chli and R Siegwart Robust Real Time Visual Odometry with a Single Camera and an IMU in BMVC 2011 7 K Kapach and Y Edan Evaluation of grid map sensor fusion mapping algorithms in IEEE Intl Conf on Systems Man and Cybernetics 2007 8 G N utzi S Weiss D Scaramuzza and R Siegwart Fusion of imu and vision for absolute scale estimation in monocular slam Journal of Intelligent and Robotic Systems vol 61 2011 9 J Zhang M Kaess and S Singh Real time depth enhanced monoc ular odometry in IEEE IROS 2014 10 J Zhang and S Singh Visual lidar odometry and mapping Low drift robust and fast in IEEE ICRA 2015 11 I Cvi si c J Cesi c I Markovi c and I Petrovi c SOFT SLAM Computationally Effi cient Stereo Visual SLAM for Autonomous UAVs Journal of Field Robotics 2017 12 C Forster M Pizzoli and D Scaramuzza SVO Fast semi direct monocular visual odometry in IEEE ICRA 2014 13 J R Martinez De Dios A Torres

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