Abstract
Motion planning is a core technology for autonomous driving. It must produce safe, human-like and human-aware trajectories in a wide range of driving scenarios. Whilst much progress has been attained in the perception and localization domains, digital representations of the world are still incomplete. As a result, understanding the spatio-temporal relationship between the subject vehicle and the relevant entities whilst constrained by the road network might be very difficult a challenge.
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References
Artuñedo A, Godoy J, Villagra J (2018) A primitive comparison for traffic-free path planning. IEEE Access 6:28801–28817. ISSN: 2169-3536. https://doi.org/10.1109/ACCESS.2018.2839884
Artuñedo A, Villagra J, Godoy J (2019) Real-time motion planning approach for automated driving in urban environments. IEEE Access 7:180039–180053. ISSN: 2169-3536. https://doi.org/10.1109/ACCESS.2019.2959432
Artuñedo A, Godoy J, Villagra J (2017) A comparison of local path-planning interpolation methods for autonomous driving in urban environments. In: Industriales research meeting 2017. Madrid: ETSII, UPM, Apr. 2017, p 147. ISBN: 978-84-16397-58-7. http://oa.upm.es/46090/
Artuñedo A, Godoy J, Villagra J (2017) Smooth path planning for urban autonomous driving using OpenStreetMaps In: 2017 IEEE intelligent vehicles symposium (IV). IEEE, June 2017, pp 837–842. ISBN: 978-1-5090-4804-5. https://doi.org/10.1109/IVS2017.7995820
Byrd RH, Gilbert JC, Nocedal J (2000) A trust region method based on interior point techniques for nonlinear programming. Math Program Ser B 89.1:149–185. ISSN: 00255610. https://doi.org/10.1007/s101070000189
Digabel S (2011) Algorithm 909: NOMAD: nonlinear Optimization with the MADS algorithm NOMAD: nonlinear optimization with the MADS algorithm. ACM Trans Math Softw (TOMS) 4:44–15. ISBN: 0098-3500. https://doi.org/10.1145/1916461.1916468
Douglas DH, Peucker TK (2011) Algorithms for the reduction of the number of points required to represent a digitized line or its caricature. In: Classics in cartography: reflections on influential articles from Cartographica 10.2 (Dec. 2011), pp 15–28. ISSN: 0317-7173. https://doi.org/10.1002/9780470669488.ch2. http://utpjournals.press/doi/10.3138/FM57-6770-U75U-7727
Farin G (2002) 8—B-spline curves. In: Farin G (ed) Curves and surfaces for CAGD (Fifth Edition). Fifth Edition. The Morgan Kaufmann Series in Computer Graphics. San Francisco: Morgan Kaufmann, pp 119–146. ISBN: 978-1-55860-737-8. https://doi.org/10.1016/B978-155860737-8/50008-9
Ganesh M (2008) Basics of computer aided geometric design: an algorithmic approach. I.K. International. ISBN: 9788189866761
Gu T, Snider J, Dolan JM, Lee J-W (2013) Focused Trajectory Planning for autonomous on-road driving. In: 2013 IEEE intelligent vehicles symposium (IV). IEEE, June 2013, pp 547–552. ISBN: 978-1-4673-2755-8. https://doi.org/10.1109/IVS.2013.6629524
Haber RE, Beruvides G, Quiza R, Hernandez A (2017) A simple multi-objective optimization based on the cross-entropy method. IEEE Access 5:22272–22281. ISSN: 2169-3536. https://doi.org/10.1109/ACCESS.2017.2764047. http://ieeexplore.ieee.org/document/8070310/
Hormann K, Agathos A (2001) The point in polygon problem for arbitrary polygons. Comput Geome: Theor Appl 20(3):131–144. ISSN: 09257721. https://doi.org/10.1016/S0925-7721(01)00012-8. https://www.inf.usi.ch/hormann/papers/Hormann.2001.TPI.pdf
Lau B, Sprunk C, Burgard W (2009) Kinodynamic motion planning for mobile robots using splines. In: 2009 IEEE/RSJ international conference on intelligent robots and systems. IEEE, Oct. 2009, pp 2427–2433. ISBN: 978-1-4244-3803-7. https://doi.org/10.1109/IROS.2009.5354805
Levien R, Séquin CH (2009) Interpolating splines: which is the fairest of them all? Comput Aided Des Appl 6(1):91–102. ISSN: 16864360. https://doi.org/10.3722/cadaps.2009.91-102
Moré JJ (1978) The Levenberg-Marquardt algorithm: implementation and theory. In: Watson GA (ed) Numerical analysis. Berlin, Heidelberg: Springer Berlin Heidelberg, pp 105–116. ISBN: 978-3-540-35972-2
Opheim H (1981) Smoothing a digitized curve by data reduction methods. In: Encarnacao JL (ed) Proceedings of the international conference. The Eurographics Association, p 127. ISBN: 0444862846. https://doi.org/10.2312/eg.19811012. http://diglib.eg.org/EG/DL/Conf/EG81/papers/EUROGRAPHICS
Zhang Y, Chen H, Waslander SL, Gong J, Xiong G, Yang T, Liu K (2018) Hybrid trajectory planning for autonomous driving in highly constrained environments. IEEE Access 6:32800–32819. ISSN: 2169-3536. https://doi.org/10.1109/ACCESS2018.2845448. https://ieeexplore.ieee.org/document/8375948/
Ziegler J, Stiller C (2010) Fast collision checking for intelligent vehicle motion planning. In: 2010 IEEE intelligent vehicles symposium. IEEE, June 2010, pp 518-522. ISBN:978-1-4244-7866-8. https://doi.org/10.1109/IVS.2010.5547976
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Artuñedo, A. (2020). Optimal Trajectory Generation. In: Decision-making Strategies for Automated Driving in Urban Environments. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-45905-5_6
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