Functional-voxel Modeling of Navigation Algorithm ORCA

Author:

Loktev Mikhail1ORCID,Tolok AlexeyORCID,Romakin VladimirORCID

Affiliation:

1. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences

Abstract

The article considers an example of modeling the ORCA algorithm using the functional-voxel method. An analytical description of the permissible collision zone using the set-theoretic apparatus of Rvachev functions (R-functions) is proposed. Based on graphical image models, an approach to constructing the area of permissible robot speeds on the plane and in space has been developed.

Publisher

MONOMAX Limited Liability Company

Reference16 articles.

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2. Dergachev, S.A.: Eksperimental'noe issledovanie reaktivnogo algoritma navigacii dlya grupp agentov – ORCA [Experimental study of reactive navigation algorithm for groups of agents – ORCA]. 17th Russian Conference on Artificial Intelligence, Ulyanovsk, Russian Federation. P.102 (2019)

3. Yakovlev, K.S., Baskin, E.S, Andreychuk, A.A.: Metod avtomaticheskogo planirovaniya sovokupnosti traektorij dlya navigacii bespilotnyh transportnyh sredstv [Dynamics constraint-aware planning of multiple paths for unmanned vehicle]. Journal Large-Scale Systems Control 58, 306-342 (2015) (in Russian)

4. Van Den Berg, J., Guy, S. J., Lin, M., & Manocha, D.: Reciprocal n-body collision avoidance. In Robotics research (pp. 3-19). Springer, Berlin, Heidelberg. (2011)

5. Tolok, A. V. Funkcional'no-voksel'nyj metod v komp'yuternom modelirovanii [Functional voxel method in computer modeling]. Moscow, 112 p. (2016)

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