Publication

Path planning with loop closure constraints using an atlas-based RRT

Conference Article

Conference

International Symposium on Robotics Research (ISRR)

Edition

15th

Doc link

http://www.isrr-2011.org/ISRR-2011//Program_files/Papers/Jaillet-ISRR-2011.pdf

File

Download the digital copy of the doc pdf document

Abstract

In many relevant path planning problems, loop closure constraints reduce the configuration space to a manifold embedded in the higher-dimensional joint ambient space. Whereas many progresses have been done to solve path planning problems in the presence of obstacles, only few work consider loop closure constraints. In this paper we present the AtlasRRT algorithm, a planner specially tailored for such constrained systems that builds on recently developed tools for higher-dimensional continuation. These tools provide procedures to define charts that locally parametrize manifolds and to coordinate them forming an atlas. AtlasRRT simultaneously builds an atlas and a Rapidly-Exploring Random Tree (RRT), using the atlas to sample relevant configurations for the RRT, and the RRT to devise directions of expansion for the atlas. The new planner is advantageous since samples obtained from the atlas allow a more efficient extension of the RRT than state of the art approaches, where samples are generated in the joint ambient space.

Categories

robots.

Scientific reference

L. Jaillet and J.M. Porta. Path planning with loop closure constraints using an atlas-based RRT, 15th International Symposium on Robotics Research, 2011, Flagstaff, USA, Springer.