Path homotopy invariants and their application to optimal trajectory planning-Reference-Cited by-同舟云学术

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Path homotopy invariants and their application to optimal trajectory planning

Published:2018-07-31 Issue:3-4 Volume:84 Page:139-160
ISSN:1012-2443
Container-title:Annals of Mathematics and Artificial Intelligence
language:en
Short-container-title:Ann Math Artif Intell

Author:

Bhattacharya Subhrajit^ORCID,Ghrist Robert

Funder

Defense Advanced Research Projects Agency

Office of Naval Research Global

School of Engineering and Applied Science, University of Pennsylvania

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Artificial Intelligence

Link

http://link.springer.com/article/10.1007/s10472-018-9596-8/fulltext.html

Reference31 articles.

1. Arslan, O., Guralnik, D.P., Koditschek, D.E.: Coordinated robot navigation via hierarchical clustering. IEEE Trans. Robot. 32(2), 352–371 (2016). ISSN 1552-3098

2. Bhattacharya, S., Kim, S., Heidarsson, H., Sukhatme, G., Kumar, V.: A topological approach to using cables to separate and manipulate sets of objects. International Journal of Robotics Research, online first publication. https://doi.org/10.1177/0278364914562236 (2015)

3. Bhattacharya, S., Ghrist, R.: Path homotopy invariants and their application to optimal trajectory planning. In: Proceedings of IMA Conference on Mathematics of Robotics (IMAMR), St Anne’s College, University of Oxford, September 9-11 (2015)

4. Bhattacharya, S., Likhachev, M., Kumar, V.: Topological constraints in search-based robot path planning. Autonom. Robots, 1–18. ISSN 0929-5593. https://doi.org/10.1007/s10514-012-9304-1 (2012)

5. Bhattacharya, S., Lipsky, D., Ghrist, R., Kumar, V.: Invariants for homology classes with application to optimal search and planning problem in robotics. Ann. Math. Artif. Intell. (AMAI) 67(3), 251–281 (2013). https://doi.org/10.1007/s10472-013-9357-7

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