Efficient sampling-based approaches to optimal path planning in complex cost spaces

Didier Devaurs*, Thierry Siméon, Juan Cortés

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

19 Citations (Scopus)

Abstract

Sampling-based algorithms for path planning have achieved great success during the last 15 years, thanks to their ability to efficiently solve complex highdimensional problems. However, standard versions of these algorithms cannot guarantee optimality or even high-quality for the produced paths. In recent years, variants of these methods, taking cost criteria into account during the exploration process, have been proposed to compute high-quality paths (such as T-RRT), some even guaranteeing asymptotic optimality (such as RRT*). In this paper, we propose two new sampling-based approaches that combine the underlying principles of RRT* and T-RRT. These algorithms, called T-RRT* and AT-RRT, offer probabilistic completeness and asymptotic optimality guarantees. Results presented on several classes of problems show that they converge faster than RRT* toward the optimal path, especially when the topology of the search space is complex and/or when its dimensionality is high.

Original languageEnglish
Title of host publicationAlgorithmic Foundations of Robotics - Selected Contributions of the 11th International Workshop on the Algorithmic Foundations of Robotics, WAFR 2014
EditorsH. Levent Akin, Nancy M. Amato, Volkan Isler, A. Frank Stappen
Place of PublicationCham, Switzerland
PublisherSpringer
Pages143-159
Number of pages17
ISBN (Electronic)9783319165950
ISBN (Print)9783319165943, 9783319366074
DOIs
Publication statusPublished - 1 Jan 2015
Event11th International Workshop on the Algorithmic Foundations of Robotics, WAFR 2014 - Istanbul, Turkey
Duration: 3 Aug 20145 Aug 2014

Publication series

NameSpringer Tracts in Advanced Robotics
Volume107
ISSN (Print)1610-7438
ISSN (Electronic)1610-742X

Conference

Conference11th International Workshop on the Algorithmic Foundations of Robotics, WAFR 2014
Country/TerritoryTurkey
CityIstanbul
Period3/08/145/08/14

Keywords

  • anytime path planning
  • cost space path planning
  • optimal path planning
  • sampling-based path planning

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