High-dimensional Winding-Augmented Motion Planning with 2D topological task projections and persistent homology
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Danica Kragic | Lydia E. Kavraki | Kenneth Y. Goldberg | Florian T. Pokorny | Ken Goldberg | L. Kavraki | D. Kragic
[1] Herbert Edelsbrunner,et al. Computational Topology - an Introduction , 2009 .
[2] Taku Komura,et al. Hierarchical Motion Planning in Topological Representations , 2012, Robotics: Science and Systems.
[3] Danica Kragic,et al. Data-Driven Topological Motion Planning with Persistent Cohomology , 2015, Robotics: Science and Systems.
[4] Steven M. LaValle,et al. Optimal motion planning for multiple robots having independent goals , 1998, IEEE Trans. Robotics Autom..
[5] B. Faverjon,et al. Probabilistic Roadmaps for Path Planning in High-Dimensional Con(cid:12)guration Spaces , 1996 .
[6] H. Edelsbrunner,et al. Persistent Homology — a Survey , 2022 .
[7] Kai Hormann,et al. The point in polygon problem for arbitrary polygons , 2001, Comput. Geom..
[8] Steven M. LaValle,et al. Rapidly-Exploring Random Trees: Progress and Prospects , 2000 .
[9] Didier Wolf,et al. Capture of homotopy classes with probabilistic road map , 2002, IEEE/RSJ International Conference on Intelligent Robots and Systems.
[10] Lydia E. Kavraki,et al. A Sampling-Based Tree Planner for Systems With Complex Dynamics , 2012, IEEE Transactions on Robotics.
[11] Léonard Jaillet,et al. Path Planning with Loop Closure Constraints Using an Atlas-Based RRT , 2011, ISRR.
[12] Emilio Frazzoli,et al. Incremental Sampling-based Algorithms for Optimal Motion Planning , 2010, Robotics: Science and Systems.
[13] Vijay Kumar,et al. Invariants for homology classes with application to optimal search and planning problem in robotics , 2012, Annals of Mathematics and Artificial Intelligence.
[14] Ulrich Bauer,et al. The Morse Theory of Čech and Delaunay Filtrations , 2013, SoCG.
[15] R. Ho. Algebraic Topology , 2022 .
[16] Stephen Smale,et al. Finding the Homology of Submanifolds with High Confidence from Random Samples , 2008, Discret. Comput. Geom..
[17] Danica Kragic,et al. Grasping objects with holes: A topological approach , 2013, 2013 IEEE International Conference on Robotics and Automation.
[18] Kevin Dean Jenkins. The shortest path problem in the plane with obstacles: a graph modeling approach to producing finite search lists of homotopy classes , 1991 .
[19] Vijay Kumar,et al. Persistent Homology for Path Planning in Uncertain Environments , 2015, IEEE Transactions on Robotics.
[20] Dima Grigoriev,et al. Polytime algorithm for the shortest path in a homotopy class amidst semi-algebraic obstacles in the plane , 1998, ISSAC '98.
[21] Subhrajit Bhattacharya,et al. Search-Based Path Planning with Homotopy Class Constraints in 3D , 2010, AAAI.