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Massachusetts Institute of Technology

Topological mapping for limited sensing mobile robots using the Probabilistic Gap Navigation Tree

Abstract

dc:description.abstract

This thesis proposes a novel structure for robotic navigation with minimal sensing abilities called the Probabilistic Gap Navigation Tree (PGNT). In this navigation approach, we create a topological map of the environment based on a previously created Gap Navigation Tree (GNT) [40]. The "gap" in the gap navigation algorithm represents a discontinuity in the robotic field of vision. The robot is able to use the gaps to represent its world as a tree structure (GNT), in which each vertex corresponds to a gap. Ideally, the robot navigates in the world by following the tree branches to its desired goal. However, due to the sensor uncertainty, the robot may detect discontinuities when there are none present, and vice versa. The Probabilistic Gap Navigation Tree compensates for the measurement noise by sampling from a distribution of the gap navigation trees to obtain the most likely tree given the sensor measurements, similar to the particle filtering algorithm used in Monte Carlo localization. Therefore, the PGNT allows navigation in an unknown environment using a realistic range finder, as opposed to the ideal sensor model assumed previously. We demonstrate the ability to build a PGNT in a simulated environment.

Degree

thesis:*
Department dc:contributor.department
Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.
Grantor dc:publisher
Massachusetts Institute of Technology
Year dc:date.issued
2008

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Gordeski, Valerie
Advisor dc:contributor.advisor
  • Nicholas Roy.

Subjects

dc:subject × 1

Rights

dc:rights
Statement dc:rights
  • M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/1721.1/46108
OAI identifier oai:identifier
oai:dspace.mit.edu:1721.1/46108

Chain of custody

source
Harvested from
MIT
Base URL
dspace.mit.edu/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Gordeski, Valerie. Topological mapping for limited sensing mobile robots using the Probabilistic Gap Navigation Tree. Massachusetts Institute of Technology, 2008. http://hdl.handle.net/1721.1/46108